ee6301 digital logic circuits unit i boolean algebra...

91
40 EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA AND COMINATIONAL CIRCUITS PART A 1. How can an OR gate be realized using NAND gates? (M-13) 2. Define Multiplexer (M-13) A multiplexer is a digital switch which allows digital information from several sources to be routed into a single output line. The basic multiplexer has several data input lines and a single data output line. The selection of a particular input line is controlled by a set of selection lines. Normally there are 2 n input lines and n selection lines. 3. What is meant by priority encoder? (M-12) A priority encoder is an encoder that includes the priority function. The operation of the priority encoder is such that if two or more inputs are equal to 1 at the same time, the input having the highest priority will take precedence. Inputs Outputs D 0 D 1 D 2 D 3 Y 0 Y 1 V 0 0 0 0 X X 1 1 0 0 0 0 0 0 X 1 0 0 0 1 0 X X 1 0 1 0 0 X X X 1 1 1 0

Upload: lythuy

Post on 04-Jun-2018

227 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

40

EE6301 – DIGITAL LOGIC CIRCUITS

UNIT I – BOOLEAN ALGEBRA AND COMINATIONAL CIRCUITS

PART A

1. How can an OR gate be realized using NAND gates? (M-13)

2. Define – Multiplexer (M-13)

A multiplexer is a digital switch which allows digital information from several

sources to be routed into a single output line. The basic multiplexer has several data

input lines and a single data output line. The selection of a particular input line is

controlled by a set of selection lines. Normally there are 2n input lines and n

selection lines.

3. What is meant by priority encoder? (M-12)

A priority encoder is an encoder that includes the priority function. The

operation of the priority encoder is such that if two or more inputs are equal to 1 at

the same time, the input having the highest priority will take precedence.

Inputs Outputs

D0 D1 D2 D3 Y0 Y1 V

0 0 0 0 X X 1

1 0 0 0 0 0 0

X 1 0 0 0 1 0

X X 1 0 1 0 0

X X X 1 1 1 0

Page 2: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

41

4. Distinguish between decoder and demultiplexer. (N-11)

5. State De-Morgan’s theorem. (A-11)

De - Morgan suggested two theorems that form an important part of

Boolean algebra.

They are,

1) The complement of a product is equal to the sum of the complements.

= +

2) The complement of a sum term is equal to the product of the

complements.

=

6. Draw the truth table and logic circuit of half adder. (A-10)

Inputs Outputs

A B Sum (S) Carry (C)

0 0 0 0

0 1 1 0

1 0 1 0

1 1 0 1

Page 3: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

42

7. What is meant by decoder? (M-09)

A decoder is a combinational circuit that decodes the binary information on „n‟

input lines to a maximum of 2n unique output lines. The general structure of

decoder circuit is

8. What is meant by encoder? (M-10)

An encoder is a combinational circuit that converts binary information from 2n

input lines to a maximum of „n‟ unique output lines. The general structure of

encoder circuit is

9. List out the applications of multiplexers. (M-09)

1. Data routing

2. Logic function generator

3. Control sequencer

4. Parallel-to-serial converter.

10. What is meant by demultiplexer? (M-08)

A demultiplexer is a combinational logic circuit with an input line, 2n output

lines and n select lines. It routes the information present on the input line to any of

Page 4: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

43

the output lines. The output line that gets the information present on the input line is

decided by the bit status of the selection lines.

UNIT II –SYNCHRONOUS SEQUENTIAL CIRCUITS

PART A

1. Define – Flip Flop (M-13)

Flip flop is defined as the basic unit for storage. A flip-flop maintains its output

state either at 1 or 0 until directed by an input signal to change its state.

2. What is meant by race around condition? (N-12)

In JK flip-flop output is fed back to the input. Therefore change in the

output results leads to change in the input. Due to this, in the positive half of the

clock pulse if both J and K are high then output toggles continuously. This

condition is called race around condition‟.

3. Compare combinational circuits with sequential circuits.

S. No. Combinational circuits Sequential circuits

1. Memory unit is not required Memory unity is required

2. Parallel adder is a combinational circuit Serial adder is a sequential circuit

4. What are the various classifications of sequential circuits? (N-11)

The sequential circuits are classified on the basis of timing of their signals into two

types. They are as follows:

1) Synchronous sequential circuit

2) Asynchronous sequential circuit

Page 5: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

44

5. What is the operation of D flip-flop? (M-11)

In D flip-flop during the occurrence of clock pulse if D=1, the output Q is set

and if D=0, the output is reset.

6. What is meant by master-slave flip-flop? (M-10)

A master-slave flip-flop consists of two flip-flops where one circuit serves as a

master and the other as a slave.

7. Write the excitation tables for a JK flip-flop. (N-09)

In JK flip-flop there are four possible transitions from the present state to the

next state. They are as follows:,

_ 0_0 transition: This can happen when J=0 and K=1 or K=0.

_ 0_1 transition: This can happen either when J=1 and K=0 or when J=K=1.

_ 1_0 transition: This can happen either when J=0 and K=1 or when J=K=1.

_ 1_1 transition: This can happen when K=0 and J=0 or J=1.

8. Compare synchronous counters with asynchronous counters. (M-10)

9. What is meant by edge-triggered flip-flop? (M-09)

The problem of race around condition can be solved by edge triggering flip flop.

The term edge triggering means that the flip-flop changes state either at the positive

edge or negative edge of the clock pulse and it is sensitive to its inputs only at this

transition of the clock.

Page 6: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

45

10. What are the different types of flip-flop?

There are various types of flip flops. They are as follows:

1) RS flip-flop

2) SR flip-flop

3) D flip-flop

4) JK flip-flop

5) T flip-flop

UNIT III – ASYNCHRONOUS SEQUENCITIAL CIRCUIT

1. What is meant by race condition in an asynchronous sequential circuit?

A race condition is said to exist in an asynchronous sequential circuit when

two or more binary state variables changed value in response to a change in an input

variable. The order by which the state variables change may not be known in

advance if the final stable state that the circuit reaches does not depend on the order

in which the state variable changes. The race is called a non-critical race.

2. What are called hazards?

Hazards are unwanted switching transients that may appear at the output of a

circuit because different paths exhibit different propagation delays.

The 3 types of hazards are

1. Static hazards

Static – 0 hazards

Static – 1 hazard

2. Dynamic hazards

3. Essential hazards

3. What are the assumptions made for fundamental mode circuit?

The assumptions made for fundamental mode circuit are

1. The input variables change only when the circuit is stable

2. Only one input variable can change at a given time

3. Inputs are levels and not pulses

Page 7: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

46

4. Define – Flow Table in an asynchronous sequential circuit

During the design of asynchronous sequential circuits, it is more convenient to

name the states by letter symbols without making specific reference to their binary

values. Such a table is called a flow table.

5. What are the steps to be followed in the designing of a asynchronous sequential

circuit?

The steps to be followed in the design of asynchronous sequential circuit are

1. Construction of a primitive flow table from the problem statement

2. Primitive flow table is reduced by eliminating redundant states using the

state reduction

3. State assignment is made

4. The primitive flow table is realized using appropriate logic elements

6. Define – Static 0-Hazard, Static 1-Hazard and Dynamic Hazard (A-09)

Static-1 hazard: In a combinational circuit, if output goes momentarily 0 when

it should remain a1, the hazard is known as static-1 hazard.

Static-0 hazard: In a combinational circuit, If the output goes momentarily 1

when it should remain a 0, the hazard is known as static-0 hazard.

Dynamic hazard: When the output changes three or more times when it should

change from 1 to 0 or from 0 to 1, it is known as dynamic hazard.

7. What is meant by critical race? Why should it be avoided?

Race exists in synchronous sequential circuits when two or more binary state

variables charge during a state transition. A race becomes critical if the correct next

value is not reached during a state transition. For the proper operation of the

circuits, the critical races must be avoided.

8. What is meant by cycle?

A cycle occurs when an asynchronous circuit makes a transition through a series

of unstable states. If a cycle does not contain a stable state, the circuit will go from

one unstable to stable, until the inputs are changed.

Page 8: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

47

9. How does an essential hazard occur? (A-12)

An essential hazard occurs due to unequal delays along two or more paths that

originate from the same input. An excessive delay through an inverter circuit in

comparison to the delay associated with the feedback path causes essential hazard.

10. What are the significances of state assignment?

In synchronous circuits-state assignments are made with the objective of circuit

reduction. In asynchronous circuits its objective is to avoid critical races.

UNIT IV PROGRAMMABLE LOGIC DEVICES, MEMORY AND

LOGIC FAMILIES

1. Explain ROM. (N/D-12)

A read only memory (ROM) is a device that includes both the decoder and the

OR gates within a single IC package. It consists of n input lines and m output lines.

Each bit combination of the input variables is called an address. Each bit

combination that comes out of the output lines is called a word. The number of

distinct addresses possible with n input variables is 2n.

2. What are the various types of ROM? (M/J-11)

1. Masked ROM

2. Programmable Read only Memory

3. Erasable Programmable Read only memory

4. Electrically Erasable Programmable Read only Memory

3. What is meant by programmable logic array? How does it differ from ROM?

In some cases the number of don‟t care conditions is excessive. It is more

economical to use a second type of LSI component called a PLA. A PLA is similar

to a ROM in concept. However it does not provide full decoding of the variables

and does not generate all the min-terms as in the ROM.

4. What is meant by CPLD?

CPLDs are Complex Programmable Logic Devices. They are larger versions of

PLDs with a centralized internal interconnect matrix used to connect the device

macro cells together.

Page 9: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

48

5. Define – Cache Memory (M/J-13)

It is a relatively small, high-speed memory that can store the most recently used

instructions or data from larger but slower main memory.

6. Compare PROM with PLA.

PROM PLA

1. AND array is fixed and OR Both AND and OR arrays are

array is programmable. programmable.

2. Cheaper and simple to use. Costliest and more complex

than PROMS

7. List out the classifications of a saturated bipolar logic families.

The bipolar logic family is classified as follows:

1. RTL- Resistor Transistor Logic

2. DTL- Diode Transistor logic

3. I2L- Integrated Injection Logic

4. TTL- Transistor Transistor Logic

5. ECL- Emitter Coupled Logic

8. Define – Fan-out

Fan out specifies the number of standard loads that the output of the gate can

drive With out impairment of its normal operation.

9. Define – Noise Margin

It is the maximum noise voltage added to an input signal of a digital circuit that

does not cause an undesirable change in the circuit output. It is expressed in volts. .

10. How are Schottky transistors formed?

A schottky diode is formed by the combination of metal and semiconductor.

The presence of schottky diode between the base and the collector prevents the

transistor from going into saturation. The resulting transistor is called schottky

transistor. The use of Schottky transistor in TTL decreases the propagation delay

without a sacrifice of power dissipation

Page 10: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

49

UNIT V –VHDL

PART A

1. What is meant by Verilog? (N/D-12)

Verilog is a general purpose hardware descriptor language. It is similar in

syntax to the C programming language. It can be used to model a digital system at

many levels of abstraction ranging from the algorithmic level to the switch level.

2. What is meant by switch-level modeling? (M/J-10)

Verilog allows switch-level modeling that is based on the behavior of

MOSFETs. Digital circuits at the MOS-transistor level are described using the

MOSFET switches.

3. What are called value sets in verilog? (N/D-11)

Verilog supports four levels for the values needed to describe hardware referred

to as value sets.

Value levels Condition in hardware circuits

0- Logic zero, false condition

1 -Logic one, true condition

X -Unknown logic value

Z -High impedance, floating state

4. List out the various classifications of timing control. (M/J-11)

The various classifications of timing control are as follows:

1. Delay-based timing control

2. Event-based timing control

3. Level-sensitive timing control

Types of delay-based timing control:

1. Regular delay control

2. Intra-assignment delay control

3. Zero delay control

Types of event-based timing control:

1. Regular event control

2. Named event control

3. Event OR control

4. Level-sensitive timing control

Page 11: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

50

5. What are the various types of conditional statements? (M/J-12)

The types of conditional statements are as follows:

1. No else statement

Syntax: if ([expression]) true – statement;

2. One else statement

Syntax: if ([expression]) true – statement;

else false-statement;

3. Nested if-else-if

Syntax : if ( [expression1] ) true statement 1;

else if ( [expression2] ) true-statement 2;

else if ( [expression3] ) true-statement 3;

else default-statement;

The [expression] is evaluated. If it is true (1 or a non-zero value) true-

statement is executed. If it is false (zero) or ambiguous (x), the false-statement is

executed.

6. What are the various types of ports in verilog? (N/D-13)

The various types of ports in verilog are as follows:

Types of port Keyword

Input port Input

Output port Output

Bidirectional port In out

7. What are the various modeling used in verilog? (M/J-09)

The various modeling used in verilog are as follows:

1. Gate-level modeling

2. Data-flow modeling

3. Switch-level modeling

4. Behavioral modeling

8. What is meant by structural gate-level modeling? (M/J-11)

Structural modeling describes a digital logic network in terms of the

components that make up the system. Gate-level modeling is based on using

primitive logic gates and specifying how they are wired together.

Page 12: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

51

9. What are called gate primitives? (N/D-12)

Verilog supports basic logic gates as predefined primitives. Primitive logic

function keyword provides the basics for structural modeling at gate level. These

primitives are instantiated like modules except that they are predefined in verilog

and do not need a module definition. The important operations are and, nand, or,

xor, xnor, and buf (non-inverting drive buffer).

10. What are the various types of procedural assignments? (M/J-13)

The various types of procedural assignments are as follows:

1. Blocking assignment

2. Non-blocking assignment

Page 13: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

52

EE6302 ELCTROMAGNETIC THEORY

UNIT – I – ELECTROSTATICS – I

1. Define – Scalar and Vector

Scalar: Scalar is defined as a quantity that is characterized only by magnitude.

Vector: Vector is defined as a quantity that is characterized both by magnitude and

direction.

2. Define – Scalar Multiplication of two vectors

Scalar multiplication of two vectors is defined as a scalar quantity whose

magnitude is the product of the magnitudes of the vectors multiplied by the cosine of

the angle between them. It is referred as dot product.

A . B = ABcosθ

3. Define – Vector Multiplication of two vectors

The vector product of two vectors is defined as a vector whose magnitude is

the product of the magnitudes of the two vectors and the sine of the angle between

them. This multiplication is called “Cross Product”.

A x B = ABsinθ

4. Show that the two vectors A = 6 a x + a y -5 a z and B = 3( a x + a y - a z) are

perpendicular to each other.

For perpendicular dot, product of two vectors should be zero.

0.BA

A =6 a x + a y -5 a z

B =3( a x + a y - a z)

A . B = 6 x 5 – 2 x 5 – 5 x 4

= 0

AVector and B are perpendicular to each other.

Page 14: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

53

5. Show that the two vectors A =4 a x -2 a y +2 a z and B =-6 a x +3 a y -3 a z are parallel

to each other.

For parallel 0BXA

A =4 a x -2 a y +2 a z

B =-6 a x +3 a y -3 a z

A x B =

336

224

zyx aaa

= a x(6-6) - a y(-6+6) + a z(12-12)

= 0

Vectors A and B are parallel to each other.

6. Define – Gradient of any scalar function

The gradient of any scalar function is defined as the maximum space rate of change

of that function. If the scalar V represents electric potential, V represents potential

gradient.

V= x

Vxa +

y

Vya +

z

Vza

This operation is called the gradient.

7. Define – Divergence of a vector

The divergence of a vector „A‟ at any point is defined as the limit of its surface

integrated per unit volume, as the volume enclosed by the surface shrinks to zero.

.A =Lt 0V v

1

SA . n ds.

.A = x

AX +y

AY +z

AZ

This operation is called divergence. Divergence of a vector is a scalar quantity.

8. Define – Curl of a vector

The curl of a vector „A‟ at any point is defined as the limit of its cross product with

normal over a closed surface per unit volume as the volume shrinks to zero.

x A =Lt 0V v

1

Sn x Ads.

Page 15: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

54

9. Show that the vector H = 3y4z a x + 4x

3z

2a y +2 x

3y

2 a z is solenoidal.

For solenoidal 0.H

.H= x

xa +y

ya +z

za . (3y4z a x + 4x

3z

2a y +2 x

3y

2a z

)

= x

(3y4z)+

y( 4x

3z

2)+

z( 2 x

3y

2)

= 0 + 0 + 0 = 0

Hence H is solenoidal.

10. Find the dot products of the vectors A and B if A = zyx aaa 432 and

zyx aaaB 22

A.B =AxBx+AyBy+AzBz

= 2(-1)-3(2) +4(2)

= 0

11. Given A= zy aa 84 and zy aaB 62 find A . B

A.B = AxBx +AyBy +AzBz

= 4(-2) + 8(6)

=40

12. Write the expression for conversion of Cartesian to Cylindrical system.

The Cartesian co-ordinates (x, y, z) can be converted into cylindrical co-ordinates (r,

Φ, z).

Given Transform

x r = 22 yx

y Φ = tan-1

(y/x)

z z = z

Page 16: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

55

13. Write the expression for conversion of Cylindrical to Cartesian system.

The Cylindrical co-ordinates (r, Φ, z) can be converted into Cartesian co-

ordinates (x, y, z).

Given Transform

r x = r cosθ

Φ y = r sinθ

z z = z

14. Write the expression for conversion of Cartesian to Spherical system.

The Cartesian co-ordinates ( x, y, z ) can be converted into spherical co-ordinates (r,

θ, Φ).

Given Transform

x r = 222 zyx

y θ =cos-1

(222 zyx

z)

z Φ = tan-1

(y/x)

15. Write the expression for conversion of spherical to Cartesian system.

The spherical co-ordinates (r, θ, Φ) can be converted into Cartesian co-ordinates (x,

y, z).

Given Transform

r x = rsinθ.cosΦ

θ y = r sinθ.sin Φ

Φ z = rcosθ

16. Transform the Cartesian co-ordinates x = 2, y = 1 and z = 3 into Spherical

co-ordinates.

Given Transform

x = 2 r = 222 zyx = 914 = 3.74

y = 1 θ =cos-1

(222 zyx

z) = cos-1(

14

3) = 36.7

z = 3 Φ = tan-1

(y/x) = tan-1

(1/2) = 26.56

The spherical co-ordinates = (3.74, 36.7 , 26.56 ).

Page 17: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

56

17. Write the Cartesian co-ordinates of a point whose Cylindrical co-ordinates are r

= 1, Φ =45 , z=2.

Given Transform

r = 1 x = r cosθ = 1.cos45 = 0.707

Φ =45 y = r sinθ = 1.sin45 = 0.707

z = 2 z = z = 2

The Cartesian co-ordinates = (0.707, 0.707 , 2)

18. State Divergence theorem.

The volume integral of the divergence of a vector field over a volume is equal to the

surface integral of the normal component of this vector over the surface bounding the

volume.

v

AdV. = S

dSA.

19. State Stoke’s Theorem.

The line integral of a vector around a closed path is equal to the surface integral of

the normal component of its equal, to the integral of the normal component of its curl

over any closed surface.

dlH. =S

xHdS

20. Express the value of differential volume in rectangular and cylindrical

co-ordinates systems.

For rectangular co-ordinate

dv = dxdydz

For cyclindrical co-ordinate

dv = rdrdθdz.

21. Write the expression for differential length in cylindrical and spherical

co-ordinates.

For cylindrical co-ordinates

dl = 222 )()()( dzrddr

Page 18: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

57

For spherical co-ordinates

dl = 222 )sin()()( drrddr

22. Define – Unit Vector

A unit vector in a given direction is defined as a direction in that direction divided

by its magnitude.

(or)

A unit vector is having unit magnitude and directed along the co-ordinate axes.

ar = r

r

23. Find the distance from A (1, 2, 3) to B (2,0,-1) in rectangular co-ordinates.

r = 2

12

2

12

2

12 )()()( zzyyxx

= 222

1 )31()20()12(

= 1641

= 21

24. What is the divergence of curl of a vector?

0. HX

25. Fill up the blanks ____________xAx

AAxAx2

.

26. What is the physical significance of divergence of D ?

The divergence of the vector flux density D is the outflow from a small closed

surface per unit volume as the volume shrinks to zero.

D. = v

dsDLTv

.

0

27. Express the divergence of a vector in the three systems of orthogonal

co-ordination.

For rectangular co-ordinate system

Page 19: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

58

B. = z

Bz

y

By

x

Bx

For cylindrical co-ordinate system

B. =r

1

z

BzB

rr

rBr 1)(

For spherical co-ordinate system

B. =sin

12r

(rBBr

rr

Brr )sin(1)sin( 2

)

28. Show that the two vectors A = 6xa + ya - 5 za and B = 3(

xa - ya + za ) are

perpendicular to each other.

A . B = (6x3) + (1x-3) + (-5x-3)

= 18-3-15

= 0

UNIT – II – ELECTROSTATICS II

1. Define – Electric Flux and Electric Flux Density

Electric Flux:

Electric flux is defined as the lines of electric force. It is denoted by .

= Q (charge) Coulomb.

Electric Flux Density:

Electric flux density or displacement density is defined as the electric flux per unit

area.

D = A

Q

2. State the point form of Gauss’s law.

The divergence of electric flux density is equal to the volume charge density.

D. ρv.

Page 20: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

59

3. State Coulomb’s law.

Coulomb‟s law states that the force between two very small charged objects

separated by a large distance compared to their size is proportional to the charge on each

object and inversely proportional to the square of the distance between them.

F Q1Q2

F2

1

r

F2

Q1Q2

r

F = 1224

Q1Q2a

r Newton.

4. Write the applications of Gauss’s law in electrostatics.

Gauss‟s law is applied to determine the electric field intensity from a closed

surface.

( e.g) Electric field can be determined for shell, two concentric shells or

cylinders, etc.

5. What is meant by point charge?

Point charge is one whose maximum dimension is very small in comparison with

any other length.

6. What is meant by linear, surface and volume charge densities?

Linear Charge density: It is the charge per unit length ( Col / m) at a point on the line

of charge.

ρl = Lt 0l (l

Q)

Surface charge density: It is the charge per surface area ( C/m2) at a point on the

surface of the charge.

ρs = Lt 0s (s

Q )

Volume charge density: It is the charge per volume ( C/m3) at a point on the volume

of the charge.

ρs = Lt 0v (v

Q )

Page 21: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

60

7. Define – Electric Field Intensity or Electric Field

Electric field intensity is defined as the electric force per unit positive charge. It is

denoted by E.

E = Q

F

E = 24 r

Q

8. Define – Potential and Potential Difference

Potential: Potential at any point is defined as the work done in moving a unit positive

charge from infinity to that point in an electric field.

V = r

Q

4 Volts.

Potential Difference: Potential difference is defined as the work done in moving a

unit positive charge from one point in an electric field.

V = 4

Q(

BA rr

11) Volts.

9. What is the relation between intensity of electric field E and electric flux density D

in free space?

D = εE c/m2

Where

ε – Permittivity of the medium, ε = ε oεr

10. Write the relationship between potential gradient and electric field.

E = V

E = -x

xa +y

ya +z

za v

Page 22: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

61

11. What is the electric field intensity at a distance of 20 cm from a charge of 2 μc in

vacuum?

E = 24 r

Q

=212

6

)2.0(10854.84

102

xxx

x

=04.0

1092 3xx = 450 KV/m.

12. Find the electric potential at a point (4, 3) m due to a charge of 10-9

C located at

the origin in free space.

V =r

Q

O4

r = 22 34 = 5m.

V =)5(1210854.84

910

xxx = 1.8V

13. What is the physical significance of divD?

D. ρv

The divergence of a vector flux density is electric flux per unit volume leaving a

small volume. This is equal to the volume charge density.

14. Write the Poisson’s equation and Laplace equation.

Poission equation

V2 ρ/ε

where

ρ – Volume charge density

ε – Permittivity of the medium

2 - Laplacian operator.

2

2

x

V+

2

2

Y

V+

2

2

z

V= - ρ/ε

Page 23: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

62

Laplace equation

02V

2

2

x

V+

2

2

Y

V+

2

2

z

V=0

15. Represent in unit vector along a vector R =6xa +8

ya

Unit Vector Ra =R

R=

6436

a8+ a6 yx

= 100

a8+ a6 yx

= 10

a8+ a6 yx

= 0.6 xa +0.8ya

16. A uniform line charge, infinite in extent, with ρl = 20nc/m lines along the z axis.

Find E at (6, 8, 3) m.

r = 222 386

= 96436

= 109

E = ρl / 2πεor = 10910854.82

102012

9

xxx

x = 34.48 V/m

17. State the condition for the vector F to irrotational.

The vector F is said to be irrotational if FX = 0

18. Define – Dipole and Dipole Moment

Dipole or electric dipole is defined as two equal and opposite point charges

separated by a very small distance.

The product of electric charge and distance ( spacing) is known as dipole moment.

It is denoted by m where Q is the charge and l is the length.

Page 24: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

63

m = Q. l C/m

19. Define – Capacitor

A capacitor is defined as a device which consists of two conductors separated by a

dielectric medium.

20. Define – Capacitance

The capacitance of two conducting planes is defined as the ratio of magnitude of

charge on either of the conductors to the potential difference between conductors. It is

given by

V

QC

The unit of capacitance is coulomb / volt or Farad.

21. Determine the capacitance of a parallel plate capacitor with two metal plates of

size 30cm x 30cm separated by 5mm in air medium.

Given data,

A = 0.3 X0.3 = 0.09m2

d =5 x 10-3

m.

` εo = 8.854 x 10-2

C = 2

A εo

= 3105

10854.809.0 12

X

XX= 15.9 nf

22. Write the expression for the value of capacitance for a co-axial cable.

C =

a

bro

ln

2

where

b – outer radius.

a – inner radius.

Page 25: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

64

23. Write the expression for the energy density in electro static field.

2

2

1E

v

W

= DE2

1

24. Find the energy stored in a parallel plate capacitor of 0.5m by 1m if it has a

separation of 2cm and a voltage difference of 10V.

C = εo d

A

= 2

12

102

15.010854.8

x

xxx

= 2.2135x10-10

F

Energy stored in a capacitor

E = 1/2 CV2

= 1/2 X 2.2135 X 10-10

X102

= 1.10675 X 10-8

Joules.

25. Write down the expression for the capacitance between two co-axial cylinders.

C =

a

do

ln

where

d – distance between two transmission lines in m

a – radius of cylinders in m

26. State the boundary conditions at the interface between two perfect dielectrics.

a) The tangential component of electric field E is continuous at the surface. That E is

the same just outside the surface as it is just inside the surface.

Et1 = Et2

b) The normal component of electric flux density is continuous if there is no surface

charge density. Otherwise D is discontinuous by an amount equal to the surface charge

density.

Dn1 = Dn2

Page 26: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

65

27. A parallel plate capacitor has a charge of 10-3

C on each plate while the potential

difference between the plates is 1000V.Calculate the value of capacitance.

Given data,

Q = 10-3

C

V = 1000V

To find C,

C = V

Q

C = 3

3

10

10 = 1μF

28. State point form of Ohm’s law.

Point form of Ohm‟s law states that the field strength within a conductor is

proportional to the current density.

J E

J = ζE

where

ζ is conductivity of the material.

29. What is meant by conduction current?

Conduction current is nothing but the current flowing through the conductor.

Conduction current density is given by

Jc = ζE Amp / m2

30. What is meant by displacement current density?

Displacement current is nothing but the current flowing through the capacitor.

Displacement current density is given by,

Jd = t

D Amp / m

2

31. Define – Polarization in Dielectric Material

Polarization in dielectric material is defined as a dipole moment per unit volume.

P= Lt 0vv

1 vn

i

iP1

Page 27: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

66

UNIT – III – MAGNETOSTAICS

1. Define – Magnetic Flux

Magnetic flux is defined as the flux passing through any area. Its unit is Weber .

a

daB. Wb

2. Define – Magnetic Flux Density

Magnetic flux density is defined as the magnetic flux density passing per unit area.

Its unit is Weber / meter or Tesla.

B = A

B = μH

3. Define – Magnetic Gauss’s Law

The total magnetic flux passing thorough any closed surface is equal to zero.

a

daB 0.

4. State Biot- Savart law .

It states that the magnetic flux density at any point due to current element is

proportional to the current element and sine of the angle between the elemental length

and the line joining and inversely proportional to the square of the distance between

them.

24

sin

r

IdldB o

5. Write the force on a current element.

The force on a current element Idl is given by

dF = I x B dl

= BI dl sinθ Newton.

6. State the Lorentz force equation.

The force on a moving particle due to combined electric and magnetic field is given

by

F = Q BxVE

This force is called Lorentz force.

Page 28: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

67

7. State Ampere’s circuital law.

Ampere‟s circuital law states that the line integral of magnetic field intensity H

about any closed path is exactly equal to the direct current enclosed by the path.

IdlH.

8. What is field due to toroid and solenoid?

a) Toroid r

NIH

2

b) Solenoid l

IH

9. Write down the expression for magnetic field at the centre of the circular coil

a

IH

2

10. Define – Scalar Magnetic Potential

It is defined as dead quantity whose negative gradient gives the magnitude intensity

if there is no current source present.

mVH

where Vm is the magnetic scalar potential.

dlHVm .

11. Define – Magnetic Vector Potential

Magnetic vector potential is defined as that quantity whose curl gives the magnetic

flux density

B x A

where A is the magnetic vector potential.

drr

JA

V4

Web / m

Page 29: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

68

12. Distinguish among diamagnetic, paramagnetic and ferromagnetic materials.

Diamagnetic : In diamagnetic materials magnetization is opposed to the applied field.

It has magnetic field.

Paramagnetic: In paramagnetic materials magnetization is in the same direction as the

field. It has a weak magnetic field.

Ferromagnetic : In Ferromagnetic materials magnetization is in the same direction as

the field. It has strong magnetic field.

13. A solenoid with a radius of 2 cm is wound with 20 turns per cm length and carries

10 mA. Find H at the centre if the total length is10 cm.

Given data,

N=nl = 20 x 10 = 200 turns.

l =10 X 10-2

m

I = 10 x 10-3

A

l

NIH

= 2

3

1010

1010200

x

xx

= 20AT/m.

14. Define – Mechanical Moment

The tangential force multiplied by the radial distance at which it acts is called

torque or mechanical moment on the loop.

15. Define – magnetic moment

The magnetic moment is defined as the maximum torque on loop per unit magnetic

induction (Flux density).

m = IA

where

A is Area.

Page 30: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

69

16. Write the force on a current element.

The force on a current element Idl is given by

dF = I x Bdl

= BI dl sinθ

17. Write the torque on closed circuits.

The torque on closed circuit in a magnetic field is

T = BIA cosθ

T = mBcosθ

where

m is magnetic moment

In vector form T = m x B

18. Write the expression for torque on a solenoid.

Torque on a solenoid in a magnetic field is

T = 2

n. 2IAB

= nBIA

= mB

where

m = nIA

19. Compare electrostatic field with magnetic field.

Electrostatic field Magnetic field

Electric field intensity E ( volts/m )

Electric flux density D=εE c/m

Energy stored is 1/2CV2

Charges are at rest

Magnetic field intensity H ( Amp/m )

Magnetic flux density B=μH (web /

m2)

Energy stored is 1/2LI2

Charges are in motion

Page 31: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

70

20. Determine the force per unit length between two long parallel wires separated by 5

cm in air and carrying currents 40A in the same direction.

Force per unit length between two long parallel wires is

Force / length = D

IIo

2

21

=2

7

1052

4040104

XX

XXX

=6.4 x 10-3

N/m

21. Define - Magnetic Dipole

A small bar magnet with pole strength Q m and length l may be treated as magnetic

dipole whose magnetic moment is Q ml.

22. Define - Magnetization

Magnetization is defined as the ratio of magnetic dipole moment to unit volume.

M = Volume

oleMagnticdip ; M = a

A

Qm A/m

23. Define – Magnetic Susceptibility

Magnetic susceptibility is defined as the ratio of magnetization to the magnetic field

intensity. It is dimensionless quantity.

H

Mm

24. What is the relation between relative permeability and susceptibility?

mr 1

where

r is relative permeability

m is susceptibility

25. What are the different types of magnetic materials?

The magnetic materials can be classified into three groups according to their

behavior. They are diamagnetic, paramagnetic and ferromagnetic materials.

Page 32: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

71

26. Write the magnetic boundary conditions.

1. The tangential component of magnetic field intensity is continuous across the

boundary.

Ht1 = Ht2

2. The normal component of magnetic flux density is continuous across the boundary.

Bn1 = Bn2

27. Define – Self Inductance

The self induction of a coil is defined as the ratio of total magnetic flux linkage in

the circuit to the current through the coil.

L = i

N

where

is magnetic flux

N is number of turns of coil

i is the current.

28. Define – Mutual Inductance

The mutual inductance between two coils is defined as the ratio of induced

magnetic flux linkage in one coil to the current through in other coil.

M = 1

122

i

N

where

N2 is number of turns in coil 2

12 is magnetic flux links in coil 2

i1 is the current through coil 1

29. Define – Co-efficient of Coupling

Co-efficient of coupling is defined as the fraction of the total flux produced by one

coil linking the second coil (K).

K = 1

12 = 2

21

where

1 is the flux produced by coil 1

Page 33: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

72

12 is flux links coil 2

K 1

K = 21LL

M

30. What will be the effective inductance, if two inductors are connected in (a) series

and (b) parallel?

(a) For series L = L1 + L2 M2 + sign for aiding

(b) For Parallel L = MLL

MLL

221

2

21 - sign for opposition

31. Write the expression for inductance of a solenoid.

l

ANL o

2

where

N is number of turns

A is area of cross-section

l is length of solenoid

o is free space permeability.

32. Write the expression for inductance of a toroid.

R

ANL o

2

2

=R

rNo

2

22

where

N is number of turns

r is radius of the coil

R is radius of toroid

o is free space permeability.

Page 34: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

73

33. Write the expression for inductance per unit length of a co-axial transmission

line.

L = a

bo ln2

H/m.

Where

a is the radius of inner conductor

b is the radius of outer conductor.

34. Distinguish between solenoid and toroid.

Solenoid: Solenoid is a cylindrically shaped coil consisting of a large number of

closely spaced turns of insulated wire wound usually on a non – magnetic frame.

Toroid: If a long, slender solenoid is bent into the form of a ring and thereby closed on

itself, it becomes toroid.

35. What is the mutual inductance of two inductively tightly coupled coils with self

inductance of 25 mH and 100 mH.

L1 = 25 mH.

L2 = 100 mH

M = K 21LL

= 10025 X

= 50 mH

UNIT – IV – ELECTRO DYNAMIC FIELDS

1. State Faraday’s law of electromagnetic induction.

Faraday‟s law states that electromagnetic force induced in a circuit is proportional

to the rate of change of magnetic flux linking the circuit.

emf = Ndt

d

2. Define – Magneto Motive Force

Magneto motive force (mmf ) is defined as the product of magnetic flux and

reluctance of that magnetic circuit.

mmf = flux x reluctance

mmf = Φ AT

Page 35: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

74

3. Define – Reluctance

Reluctance is defined as the ratio of mmf of magnetic circuit to the flux through it.

)(flux

mmf

It is also written as

A

l

where

l is the length in m

A is the area of cross- section in m2

μ is permeability

μ = μ0 μr

μ0 = 4π x 10-7

H / m

4. In a solenoid with an inductance of 5 mH, current is increasing at the rate of 100

A/sec. What is the value of induced emf?

Solution:

Given

L = 5 mH = 5 x 10-3

H

di / dt = 10 A / sec

Formula Used

emf = dt

diL

= 5x10-3

x 100 = 0.5V

5. Write the expression for lifting force of an electro magnet.

F = o

AB

2

2

where

B is flux density

A is area of air gap between the poles of the magnet

o is permeability of free space

μ0 = 4π x 10-7

H / m

Page 36: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

75

6. What is the expression for energy stored in magnetic field?

W = 2

2

1LI Joules

Where

L is the inductance in Henry

I is the current in Amp

7. What is energy density in the magnetic field?

Energy density w = BH2

1

= 2

2

1H

where

B – Magnetic flux density in wb / m2

H – Magnetic field intensity in H / m

μ is permeability

μ = μ0 μr

μ0 = 4π x 10-7

H / m

8. Write down the general, integral and point form of Faraday’s law.

emf dt

dv ( General )

dst

BdlE. ( Integral )

t

BE ( Point form )

9. Distinguish between transformer emf and motional emf.

The emf induced in a stationary conductor due to the change in flux linked

with it, is called transformer emf or static induced emf.

emf = - dst

B. eg. Transformer.

The emf induced due to the movement of conductor in a magnetic field is called

motional emf or dynamic induced emf.

emf =-c

dlBv . eg. Generator

Page 37: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

76

10. State Lenz’s law.

Lenz‟s law states that the induced emf in a circuit produces a current which opposes

the change in magnetic flux producing it.

11. State Dot rule.

If both the currents enter dotted ends of coupled coils or if the both currents enter

undotted ends, then the sign on the M will be same as the sign on the L.

If one current enters a dotted end and the other an undotted end, the sign on the M

will be opposite to the sign on the L.

12. Compare electric circuit with magnetic circuit.

Electric circuit Magnetic circuit

1. emf (volts)

2. Current =ceresis

emf

tan

3. Resistance R = A

l

4. Conductance G = R

1

mmf ( Amp-turns )

Magnetic flux = cereluc

mmf

tan

Reluctance A

l

Permeance P =1

13. A region in free space has a magnetic field intensity of B web/m2. What is the

energy stored per m3

of space?

Energy density = Energy per volume

=2

2

1 B Joules / m

3

where,

μ – is the permeability of the medium; B – Magnetic flux density in wb / m2

Page 38: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

77

14. Write the Maxwell’s equation in integral form.

From Ampere‟s Law

dst

DJdlH

S

.

From Faraday‟s Law

dst

BdlE

S

.

From Electric Gauss‟s Law

vs

dvdsD.

From Magnetic Gauss‟s Law

0.s

dsB

15. Write the Maxwell’s equation in point form.

From Ampere‟s Law

t

DJH

From Faraday‟s Law

t

BE

From Electric Gauss‟s Law

D.

From Magnetic Gauss‟s Law

0.B

16. Write the fundamental postulate for electromagnetic induction and explain how

its leads to Faraday’s Law.

A changing magnetic flux (Φ) through a closed loop produces an emf or voltage at

the terminals as given by

dt

dv

where the voltage is the integral of the electric field E around the loop.

Page 39: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

78

For uniform magnetic field Φ = B/A where B is the magnetic flux density and A is the

area of the loop.

dst

BdlEv .

This is Faraday‟s law. It states that the line integral of the electric field around a

stationary loop equals the surface integral of the time rate of change of the magnetic

flux density B integrated over the loop area.

17. What is the significance of displacement current? Write the Maxwell’s equation in

which it is used.

The displacement current iD through a specified surface is obtained by integration

of the normal component of JD over the surface.

iD = S

D dsJ .

= dst

D

S

.

iD = dst

E

This is a current which directly passes through the capacitor.

Maxwell‟s equation

DC JJHX

= t

EE (Differential form )

dst

DJdlH

SC

)(. (Integral form )

18. Find the total current in a circular conductor of radius 4mm if the current density

varies according to J = 24

/10

mAr

.

Solution:

J = 24

/10

mAr

Current I = dsJ.

Page 40: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

79

= rdrdr

r

.10

004.0

0

42

0

= dr

004.0

0

2

0

410

= 10-4

. 0.004 . 2

0

= 80π

19. Write Maxwell’s equations in point phasor forms.

EjDjJHX )(

HjBjEX

D.

0.B

20. Write Maxwell’s equations in integral phasor form.

SS

dsEjdsDjJdlH .)()(.

SS

dsHjBdsjdlE ..

dvdsDS

.

0.S

dsB

21. Write Maxwell’s equation in integral form.

From Ampere‟s Law

dst

DdlH

S

.

From Faraday‟s Law

dst

BdlE

S

.

From Electric Gauss‟s Law

Page 41: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

80

0.s

dsD

From Magnetic Gauss‟s Law

0.s

dsB

22. Write Maxwell’s equation in point form.

From Ampere‟s Law

t

DH

From Faraday‟s Law

t

BE

From Electric Gauss‟s Law

0.D

From Magnetic Gauss‟s Law

0.B

23. Explain why 0.B

0.B states that there are no magnetic charges. The net magnetic flux emerging

through any closed surface is zero.

24. Explain why .0EX

In a region in which there is no time changing magnetic flux, the voltage around the

loop would be zero.

By Maxwell‟s equation

t

BE =0

25. Explain why 0.D

In a free space there is no charge enclosed by the medium . The volume charge

density is zero.

By Maxwell‟s equation

0. vD

Page 42: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

81

26. Compare circuit theory with field theory.

Circuit Theory Field Theory

1. This analysis originated by its own. Evolved from Transmission theory.

2. Applicable only for portion of RF range. Beyond RF range ( Microwave )

3. The dependent and independent

parameters I, V are directly obtained for the

given circuit.

Not directly , through E and H.

4. Parameters of medium are not involved. Parameter of medium ( permittivity and

permeability) are involved in the

analysis.

5. Laplace Transform is employed. Maxwell‟s equation is employed

6. Z, Y, and H parameters are used . S parameter is used.

7. Low power is involved. Relatively high power is involved.

8. Simple to understand. Needs visualization ability

9. Two dimensional analysis Three dimensional analysis

10.Frequency is used as reference. Wave length is used as reference

11. Lumped components are involved Distributed components are involved.

Page 43: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

82

UNIT – V

ELECTROMAGNETIC WAVES

1. What is meant by wave?

If a physical phenomenon that occurs at one place at a given time is reproduced at

other places at later times, the time delay being proportional to the space separation

from the first location, then the group of phenomenon constitutes a wave.

2. List out the properties of uniform plane wave.

The properties of uniform plane wave are as follows

1. At every point in space, the electric field E and Magnetic field H are

perpendicular to each other and to the direction of the travel.

2. The fields vary harmonically with the time and at the same frequency,

everywhere in space.

3. Each field has the same direction, magnitude and phase at every point in any

plane perpendicular to the direction of wave travel.

3. Write the wave equations for E and H in a non-dissipative ( free space ) medium.

02

22

t

EE oo

02

22

t

HH oo

4. Write the wave equations for E and H in a conducting medium.

02

22

t

E

t

EE

02

22

t

H

t

HH

5. Define – Plane Wave

The plane wave is defined as the phase of a wave that is the same for all points on a

plane surface.

Page 44: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

83

6. Define – Uniform Plane Wave

Uniform plane wave is defined as the phase of a wave that is the same for all points

on a plane surface it is called plane wave. If the amplitude is also constant in a plane

wave, it is called uniform plane wave.

7. What are the properties of uniform plane waves?

1. At every point space electric field (E) and magnetic field (H) are perpendicular

to each other and to the direction of travel.

2. The fields vary harmonically with time and at the same frequency, everywhere

in space.

3. Each field has the same direction, magnitudes and phase at every point in any

plane perpendicular to the direction of wave travel.

8. Define – Intrinsic Impedance or Characteristic Impedance

Intrinsic impedance is defined as the ratio of electric field to magnetic field.

Otherwise it is the ratio of square root of permeability to permittivity of the medium.

H

E

9. Calculate intrinsic impedance or characteristic impedance of free space.

o

o

H

E

=12

7

10854.8

104

x

x= 120π = 377 ohms

10. Write the expression for propagation constant.

The propagation constant (γ) is a complex number and it is given by

j

where

α is attenuation constant

β is phase constant

jj (

Page 45: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

84

11. Define – Skin Depth or Depth of Penetration

Skin depth or depth of penetration (δ) is defined as the depth in which the wave has

been attenuated to 1 / e (or approximately 37% of its original value).

21

for good conductor.

12. Define – Polarization

Polarization is defined as the polarization of a uniform plane wave refers to the time

varying nature of the electric field vector at some fixed point in space.

13. What is meant by linear polarization?

If x and y component of electric field Ex and Ey are present and are in phase, the

resultant electric field has a direction at an angle of tan-1

(X

Y

E

E) and if this angle is

constant with time, the wave is said to be linearly polarized.

14. What is meant by circular polarization?

If x and y component of electric field Ex and Ey have equal amplitude and 90o

phase difference, the locus of the resultant electric field E is an circle and the wave is said

to be circularly polarized.

15. What is meant by Elliptical polarization?

If x and y component of electric field Ex and Ey have different amplitude and 90o

phase difference, the locus of the resultant electric field E is a ellipse and the wave is

said to be elliptically polarized.

16. Find the skin depth at a frequency of 2 MHz is Aluminum where σ = 38.2 M s/m

and μr = 1.

Solution:

Given data

ζ = 38.2M s/m = 38.2 x 106 s/m

μr = 1

610222 xxf

Page 46: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

85

For Good conductor,

Skin depth

21

=676 102.38.1041.102.2

2

xxxx

= 5.758 x 10-5

m.

17. At what frequencies may earth be considered perfect, if σ = 6 x 10-3

s/m, μr = 1 and

εr = 10.

1

This is the boundary line between dielectric and conductor 1

110108

2

01109366

10854.8.

106 63

12

3

f

x

f

xxx

x

X

f = 108 x 106 Hz

if frequency is greater than 108MHz , it acts as dielectric.

18. A uniform plane wave in free space is described by E = 100e-(πz/3) xa

. Determine

the frequency and wave length.

E=100 e

-(πz/3) xa

Β = 2

=3

m6

MHzxe

f 506

103 8

19. Write Helmholtz’s equation.

022 EE

where

)( jj

Page 47: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

86

20. Define – Pointing Vector

Pointing vector is defined as rate of flow of energy of a wave as it propagates. It is

the vector product of electric field and magnetic field.

P = E x H

21. Write the expression for average power flow in electromagnetic field and average

pointing vector.

Average power

Wav = COSIV

2

Average Pointing vector

Pav = 1 / 2Real part of [ E x H* ]

22. Write the complex Pointing vector in rectangular co-ordinates.

Px = ½ [ Ey Hz* - EzHy* ]

23. Define – Slepian Vector

Slepian vector is defined as a vector which defines at every point such that its flux

coming out of any volume is zero. 0).( S . Slepian vector is given by

)( HxS

where,

V is electric potential

H is magnetic field intensity

24. State Pointing theorem.

The vector product of electric field intensity at any point is a measure of the rate of

energy flow per unit area at that point.

P = E x H

25. State Snell’s law.

When a wave is travelling from one medium to another medium, the angle of

incidence is related to angle of reflection as follows.

1

2

2

1

sin

sin

t

i ( )021

Page 48: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

87

where

i is angle of incidence

t is angle of refraction

1 is dielectric constant of medium 1

2 is dielectric constant of medium 2

26. What is meant by Brewster angle?

Brewster angle is an incident angle at which there is no reflect wave for parallely

polarized wave.

1

21tan

where

1 is dielectric constant of medium 1

2 is dielectric constant of medium 2

27. Define – Surface Impedance

Surface impedance is defined as the ratio of tangential component of electric field at

the surface of a conductor to the linear current density.

sJ

EZs tan

where

is propagation constant

is conductivity medium

28. Write the expression for plane electromagnetic waves propagating in a dielectric

media in a direction x with respect to origin ( 0, 0 , 0)

The equation for plane electromagnetic waves propagating in a dielectric medium is

given by

2

2

2

21

x

E

t

E yy

(or)

2

2

2

21

x

H

t

H yy

Page 49: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

88

29. In a time varying situation how is a good conductor and lossy dielectric defined?

For good conductor

>>1

f2

α and β are large i.e., the wave is attenuated greatly as it propagates through the

conductor.

For lossy dielectric, dielectric current becomes complex,

'''

<<1

2

and

Loss tangent of the medium is defined as

'

''tan

30. What is meant by total internal reflection?

When a wave is incident from the denser medium to rarer medium at an angle equal

to or greater than the critical angle, the wave will be totally internally reflected back.

This phenomenon is called total internal reflection.

31. Write the expression for pointing theorem in point form.

Pointing theorem in point form is given by

][2

1. 222 EH

tEP

32. Write the expression for pointing theorem in integral form.

The expression for pointing theorem in integral form is given by

VVS

EHtt

EdsP ][2

1. 222

Page 50: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

89

33. What is normal incidence and oblique incidence?

Normal incidence:

When a uniform plane wave incidences normally to the boundary between the

media, then it is known as normal incidence.

Oblique incidence:

When a uniform plane wave incidences obliquely to the boundary between the two

media, then it is known as oblique incidence.

34. Define – Standing Wave Ratio

Standing wave ratio is defined as the ratio of maximum to minimum amplitudes of

voltage.

S =1

1

min1

max1

s

s

E

E

Page 51: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

90

GE6351 / GE2021 ENVIRONMENTAL SCIENCE AND ENGINEERING

UNIT-I

ENVIRONMENT, ECOSYSTEMS AND BIODIVERSITY

PART – A

1. What is meant by ecology?

Ecology is study of interactions among organisms or group of organisms with

their environment.

2. What is meant by ecosystem?

A group of organisms interacting among themselves and with environment.

3. List various types of ecosystem.

Forest ecosystem, grassland ecosystem, desert ecosystem and lake ecosystem.

4. List out the structural components of ecosystem.

The structural components of ecosystem are

1) Biotic components

2) Abiotic components

5. What is meant by primary production?

The conversion of radiant energy into organic substances during

photosynthesis by the primary producers.

6. List out the characteristics of desert ecosystem.

1) The desert air is dry and the climate is hot

2) Annual rain fall is less than 25cm.

3) Vegetation is poor.

Page 52: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

91

7. Distinguish between food chain and food web.

Food chain Food web

The sequence of eating and being

eaten in an ecosystem.

The interlocking pattern of various food

chains in an ecosystem.

8. What is meant by food web?

The interlocking pattern of various food chains in an ecosystem is known as

food web.

9. What is meant by food chain?

The sequence of eating and being eaten in an ecosystem is known as food

chains.

10. What is meant by ecological pyramid?

The graphical representation of structures and functions of tropic levels of an

ecosystem.

11. State the significance of ecological pyramid.

In ecological pyramid, producer level forms the base and successive levels

form tiers which make up the apex.

12. What is meant by tropic level?

The various steps through which food energy passes in an ecosystem is called

tropic level.

13. What is meant by water cycle?

The movement of water in a cyclic manner is known as water cycle.

14. What is meant by biogeochemical cycle?

The cyclic flow of nutrients between the biotic and abiotic components is

known as biogeochemical cycle.

15. What is meant by ecological succession?

Ecological succession is the progressive replacement of one community by

another till the development of stable community in a particular area.

Page 53: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

92

16. List out the types of ecological succession.

1) Primary succession

2) Secondary succession

17. What is meant by biodiversity?

The variety and variability among all groups of living organisms and the

ecosystem in which they occur.

18. State the necessity to conserve biodiversity.

It is necessary to conserve biodiversity to preserve the genetic diversity of

plants and animals.

19. What is meant by ecosystem diversity?

The diversity at the ecological or habitat level is known as ecosystem

diversity.

20. What is meant by hotspots of biodiversity?

The hotspots are geographic areas which posses the high endemic species.

21. List out the reasons to justify India as a great spot of biodiversity.

India is one among the 12 mega diversity countries in the world. It has

89,450 animal species accounting for 7.31% of the faunal species and 47,000 plant

species which accounts for 10.8% of the world floral species.

22. State the threats to biodiversity.

A species is said to be threatened, when its number has been reduced to a

critical level.

23. Distinguish between biodiversity and ecosystem biodiversity.

Biodiversity Ecosystem biodiversity

The variety and variability among all

groups of living organisms.

The diversity at the ecological or

habitat level.

24. What is meant by endemism?

The species, which are found only in a particular region are known as

endemism.

Page 54: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

93

25. What is meant by endangered species?

A species is said to be endangered, when its number has been reduced to a

critical level.

26. List out the aesthetic values of biodiversity.

The aesthetic values of biodiversity are eco tourism (colour of butterfly,

music of wild birds, colour of flowers, and colour of peacocks).

27. State any two methods to conserve biodiversity.

In-situ and Ex-situ are the two methods to conserve biodiversity.

28. State the bio geographical classification of India.

Himalayan mountain, desert, semi arid, Western Ghats and genetic plain.

UNIT-II

ENVIRONMENTAL POLLUTION

1. What is meant by pollution?

The unfavorable alteration of our surrounding is called pollution.

2. State the types of pollutants.

The types of pollutants are:

1) Biodegradable

2) Non-degradable

3. What is meant by acid rain?

Rain water with excessive acid is known as acid rain.

4. List out the sources of air pollution.

The sources of air pollution are:

Fossil fuel, smoking, vehicles and industries

5. What is meant by suspended particulate matter?

Suspended particulate matter is a combination of variety of particles and

droplets which can suspend in air for lesser or longer duration.

Page 55: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

94

6. What is meant by photochemical smog?

The brownish smoke like appearance that is frequently formed on clear,

sunny days over large cities with significant amount of automobile traffic. It is mainly

due to chemical reactions among nitrogen oxides and hydrocarbon by sunlight.

7. How does air pollution controlled?

The air pollution can be controlled as followed:

1) Use only unleaded petrol.

2) Use petroleum products and other fuels that have low sulphur and ash

content.

8. What is meant by automobile pollution?

The emission of particulate matters, gases like CO2 during

the combustion of fuels from vehicles.

9. List out the water pollutants.

The water pollutants are pesticides, industrial and agricultural

wastes and heavy metals.

10. What is meant by point and non-point sources?

Point sources are discharged pollutants at specific location through pipes,

ditches or Sewers into bodies of surface water.

Non point sources cannot be traced to any single site of discharge. They are

usually large land areas or air sheds that pollute water by runoff, subsurface flow or

deposition from the atmosphere.

11. What is meant by bioaccumulation?

Bioaccumulation is the accumulation of dead plants and animals in soil.

12. What is meant by BOD and COD?

BOD is the amount of dissolved oxygen required for biological

decomposition of organic matter present in the water.

COD is the amount of oxygen required for chemical oxidation of organic

matter using some oxidising agents like K2Cr2O7 and KMnO4.

Page 56: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

95

13. List the sources of soil pollution.

The sources of soil pollution are industrial wastes, urban wastes, agricultural

practice and radioactive pollutants.

14. List the causes of soil pollution.

The causes of soil pollution are industrial wastes, urban wastes, agricultural

practice and radioactive pollutants.

15. What is meant by soil pollution?

The contamination of soil by human and natural activities which may cause

harmful effects on living beings is known as soil pollution.

16. What is meant by aerobic and anaerobic oxidation?

The oxidation takes place in presence of air is known as aerobic oxidation

and in absence of air is known as anaerobic oxidation.

17. State the sources of marine pollution.

The sources of marine pollution are dumping the wastes and oil.

18. List out the effects of noise pollution.

The effects of noise pollution are:

1) It causes muscles to contract leading to nervous breakdown, tension etc.,

2) It affects human health, comfort and efficiency.

19. State the control methods of thermal pollution.

The control methods of thermal pollution are cooling towers, cooling ponds,

spray ponds and artificial lakes.

20. What is meant by thermal pollution?

Thermal pollution is the addition of excess of undesirable heat to water that

makes it harmful to man, animal or aquatic life or otherwise causes significant

departures from the normal activities of aquatic communities in water.

21. State the damages caused by nuclear radiations.

Radioactive radiation affects the cells in the body and the function of glands

and organs.

Page 57: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

96

22. State the two radio isotopes used in nuclear fission reactions.

U235

and Radon-222

23. What is meant by domestic sewage?

The garbage material which is thrown out from the homes is known as

domestic sewage.

Example: food waste, waste cloth, waste paper

24. List the types of solid wastes.

The types of solid wastes are:

1) Urban or Municipal wastes

2) Industrial wastes

3) Hazardous wastes

25. What is meant by hazardous wastes?

Hazardous wastes are the wastes that pose a substantial danger immediately

or over a period of time to human, plant or animal life.

26. List out the role of an individual in reducing pollution.

The role of an individual in reducing pollution:

1) Plant more trees

2) Use water, energy and other resources efficiently

3) Reduce deforestation

4) Use CFC free refrigerators

27. List out the various types of natural disasters.

The various types of natural disasters are:

1) Cyclone

2) Earthquake

3) Floods

4) Tsunami

Page 58: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

97

UNIT-III

NATURAL RESOURCES

1. What is meant by environmental studies?

Environmental studies are the process of educating the people for preserving

quality environment.

2. State the principles of environmental education.

Environmental education is the application of engineering principles to the

protection and enhancement of the quality of the environment and protection of

public health and welfare.

3. State the scope and importance of environmental studies.

The scopes of environmental studies are:

1) To get an awareness and sensitivity to the total environment and its related

problems.

2) To motivate the active participation in environmental production and

improvement.

The importances of environmental studies are:

1) Environmental studies have a direct relation to the quality of life we live.

2) Environmental studies develop a concern and respect for the environment

4. State the need for public awareness for solving environmental problems.

The need for public awareness for solving environmental problems are:

1) In law making process

2) Controlling pollution activities

5. List out the major causes of deforestation.

The major causes of deforestation are:

1) Developmental projects

2) Mining operations

3)Shifting cultivation

4) Forest fires

Page 59: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

98

6. List out two uses of forest resources.

The uses of forest resources are:

1) Production of oxygen

2) Reducing global warming, soil conservation and pollution moderators

7. What is meant by overgrazing?

Overgrazing is a process of eating away the forest vegetation without giving

it a chance to regenerate.

8. What is meant by mining?

Mining is the process of extraction of metals from a mineral deposit.

9. List out the types of mining.

The types of mining are:

1) Surface mining

2) Underground mining

10. List out the uses of dams.

The uses of dams are:

1) To control flood and store flood water

2) Dams are built for generating electricity

11. What is meant by soil erosion?

Soil erosion is the process of removal of superficial layer of the soil from one

place to another.

12. What is upstream impact of dam construction?

The upstream impacts of dam construction are:

1) Displacement of tribal people

2) Loss of forests, flora and fauna

13. Enumerate the effects of mining on the environment.

The effects of mining on the environment are:

1) Mining reduces the shape and size of the forest areas

2) Noise pollution

Page 60: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

99

14. What is meant by eutrophication?

Eutrophication is a large proportion of N and P fertilizers used in crop fields

which are washed off by the runoff water and reaches the water bodies causing over

nourishment of the lakes.

15. What is meant by water logging?

Water logging is the land where water stand or stagnate for most of the year.

16. What is meant by salinization?

Salinization is the process of accumulation of salts in the soil.

17. State any two problems due to the over exploitation of ground water.

The over exploitation of ground water are:

1) Decreases the level of ground water

2) Ground subsidence

3) Earthquakes and land slides

18. What is meant by an aquifer?

Aquifer is a layer of highly permeable rock containing water.

19. State the effects of ground water usage.

The effects of ground water usage are:

1) Intrusion of salt water

2) Lowering of water table

3) Drying up of wells

20. List out the types of minerals.

The types of minerals are:

1) Metallic minerals

2) Non Metallic minerals

21. State the uses of minerals.

The uses of minerals are:

1) Development of industrial plants and machinery

2) Making of alloys for various purposes

3) Generation of energy

Page 61: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

100

22. List out any two methods of flood control.

The methods of flood control are:

1) Floods can be controlled by constructing dams and reservoirs

2) Encroachment of flood ways should be banned

23. State the types of drought.

The types of drought are:

1) Metrological drought

2) Hydrological drought

3) Agricultural drought

4) Socio-economic drought

24. What is meant by soil leaching technique?

Soil leaching technique is the process in which materials in the soil

gradually dissolve and are carried by water seeping through the soil.

25. State the environmental effects of extracting mineral resources.

The environmental effects of extracting mineral resources are:

1) Ground water contamination

2) Air, soil and water pollution

3) Devegetation and subsidence of land

26. State the advantages and disadvantages of modern agriculture.

The advantages of modern agriculture are:

1) Good crop yield

2) High tech techniques

The disadvantages of modern agriculture are:

1) Micronutrient imbalance

2) Water logging

27. What is meant by under nutrition?

Under nutrition means due to poverty the people cannot buy their basic

needs and they receive less than 90% of these minimum dietary calories.

Page 62: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

101

28. Distinguish between organic and synthetic fertilizers.

S. No. Organic fertilizers Synthetic fertilizers

1 Natural fertilizers Man-made fertilizers

2 Eco friendly Non-Eco friendly

29. State any three damages caused by fertilizers.

The damages caused by fertilizers are:

1) Micronutrient imbalance

2) Blue baby syndrome

3) Eutrophication

30. What is meant by super pest?

Super pest are immune to all types of pesticides

31. What is meant by Bio- magnification?

Bio-magnification means some pesticides that are non bio-degradable and

keep on concentrating in food chain.

32. What is meant by geothermal energy?

Geothermal energy means the energy harnessed from the high temperature

present inside the earth.

33. Distinguish between renewable and non-renewable energy resources.

S.No Renewable energy Non-renewable energy

1 It is regenerated continually Cannot be regenerated

2 In exhaustible Exhausted

34. Why alternative energy resources are required?

The alternative energy resources are required;

1) To reduce environmental pollution

2) To provide more energy

35. List out the applications of wind energy.

The applications of wind energy are:

1) It does not cause air pollution.

2) It is very cheap.

Page 63: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

102

36. What is meant by nuclear energy?

The energy produced from the nuclear reactions are called nuclear energy.

37. What is meant by biogas?

Biogas is gas obtained by fermentation of animal dung and plant wastes in

the presence of water.

38. What is meant by sustainable development?

Sustainable development is the development of healthy

environment without damaging the natural resources.

39. What is meant by sustainable forestry?

Sustainable forestry is the optimum use forest resources, which meet the

needs of the present generations.

40. State environmental impact statement.

Environmental impact is an analysis of the expected effects of a

development on the surrounding environment.

UNIT – IV

SOCIAL ISSUES AND THE ENVIRONMENT

1. What is meant by sustainable development?

Sustainable development is defined as, meeting the needs of the

present without compromising the ability of future generations to meet their own

needs.

2. State Earth Summit - 1992.

Earth summit states that “a new and equitable global partnership through the

creation of new levels of cooperation among states”

3. What is meant by 3R principle?

The approach of reduce, reuse and recycle is called as 3R principle. It insists

optimum use of natural resources, reusing instead of throwing it on the waste land

or water and recycling the material into further products.

Page 64: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

103

4. List out the objectives of rain water harvesting.

The objectives of rain water harvesting

1) To meet the increasing demands of water.

2) To raise the water table by recharging the ground water.

5. What is meant by rain water harvesting?

Rain water harvesting is a technique of capturing and storing of rain water

for further utilization.

6. What is meant by watershed?

Water shed is defined as the land area from which water drains under the

influence of gravity into a stream, lake, reservoir or other body of surface water.

7. List out the principles of watershed management.

The principles of watershed management are:

1) To minimize the risk of flood, droughts and land slide.

2) To promote social forestry and horticultural activity on all suitable areas

of land.

8. What is meant by acid rain?

Acid rain means the presence of excessive acids in rain water.

9. State any two methods to control acid rain.

The control methods of rain water are

1) Emission of SO2 and NO2 from industries should be reduced by using

pollution control equipments.

2) Liming of lakes and soils should be done to correct the adverse effect of

acid rain.

10. What is meant by acid deposition?

The presence of pollutants like NO2 and SO2 gases in atmosphere will

lowers the pH of rain water; this will increase the acidity of rain water. This type of

precipitation of water is called as acid deposition.

11. List out the effects of global warming.

The effects of global warming are:

1) Sea level increases

Page 65: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

104

2) Water resources decreases

3) Drought nature increases.

12. State the effects of ozone layer depletion.

The effects of ozone layer depletion are:

1) UV rays destroy the melamine pigments in human skin.

2) It also affects aquatic forms.

3) It degrades paints, plastics and other polymeric materials.

13. What is meant by green house effect?

The green house effect may be defined as,“ the progressive warming up

of the earth‟s surface due to blanketing effect of manmade CO2 in the atmosphere”.

14. What are green house gases?

The green house gases are the gaseous pollutants which are responsible

for green house effect. The examples of green house gases are CO2 , CH4 , nitrous

oxide (N2O) and chloro-fluoro carbons (CFCs)

15. List out few practices to reduce global warming.

The global warming can be reduced by

1) Planting more trees

2) Utilizing renewable resources such as wind, solar and hydro power

3) Shifting from coal to natural gas

16. How does climate change occur?

The climate changes occur by

1) Presence of green house gases in the atmosphere increases the

global temperature.

2) Depletion of ozone layer also increases the global temperature.

17. List out the objectives of air pollution act.

The objectives of air pollution act are

1) To prevent, control and abatement of air pollution.

2) To maintain the quality of water.

3) To establish a board for the prevention and control of air pollution.

Page 66: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

105

18. What is meant by agro forestry?

In high rainfall areas, woody trees are grown in between crops to reduce the

runoff and loss of nutrients of soil. This process of growing trees is called as agro

forestry.

19. What is meant by nuclear holocaust?

Nuclear holocaust means destruction of biodiversity by nuclear equipments

and nuclear bombs. Usually, these kinds of destruction are happened in a nuclear

war.

20. What is meant by environmental ethics?

Environmental ethics refers to the issues, principles and guidelines relating

to human interactions with their environment.

21. Distinguish between rehabilitation and resettlement of people.

Resettlement is simple relocation or displacement of human population.

This process does not focus on their future welfare.

Rehabilitation involves making the system to work again by allowing the

systems to function naturally. It includes replacing the lost economic assets,

repairing damaged infrastructures, safeguarding employment and providing safe land

for building.

22. What is wild life protection act?

Wild life protection act is aimed to protect and preserve wildlife, which was

amended in 1983, 1986, and 1991.

23. State the objectives of environment protection act.

The objectives of environmental protection act are:

1) To protect and improvement of the environment.

2) To prevent hazards to all living creatures and property.

3) To maintain harmonious relationship between humanity and their

environment.

Page 67: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

106

UNIT – V

HUMAN POPULATION AND THE ENVIRONMENT

1. What is meant by population explosion?

The enormous increase in population, due to low death rate and high

birth rate, is termed as population explosion.

2. List out the factors affecting population size.

The factors affecting population size

1) Birth rate or natality

2) Death rate or mortality

3) Immigration

4) Emigration.

3. What is meant by population stabilization?

The population stabilization ratio is derived by dividing crude birth rate

by crude death rate.

4. List out any two important views of population growth.

The important views of population growth are

1) Increased demands for food and natural resources.

2) Inadequate housing and health services.

5. What is meant by doubling time?

Doubling time is the required for a population to double its size at a

constant annual rate. It is calculated as follows

Td (Doubling time) = 70/r ; where r = annual growth rate

6. What is meant by total fertility rate?

The average number of children delivered by a woman in her life time.

The TFR value varies from 2 in developed countries to 4.7 in developing countries.

7. List out the objectives of family welfare program.

The objectives of family welfare program are

1) Achieve hundred percent registrations of births, deaths, marriage

and pregnancy.

2) Encourage late marriages and later child bearing.

Page 68: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

107

8. What is meant by NIMBY syndrome?

NIMBY means “NOT IN MY BACK YARD”, which describes the

opposition of residents to the nearby location of something they consider

undesirable, even if it is clearly a benefit for many.

9. What is meant by value education?

Value education is an instrument used to analyse our behavior and

provide proper direction to our youths. It teaches them the distinction between right and

rong.

10. State the role of primary health care against AIDS.

The role of primary health care against AIDS

1) Prevention of blood borne HIV transmission.

2) AIDS awareness programmes should be encouraged.

11. What is meant by remote sensing?

Remote sensing refers to any method which can be used to gather

information about an object without actually coming in contact with it.

12. What is meant by GIS?

Geographical information system is a technique of superimposing

various thematic maps using digital data on a large number of inters related aspects.

Page 69: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

108

EC6202 ELECTRONIC DEVICES AND CIRCUITS

UNIT-I - PN DIODEAND ITSAPPLICATIONS

1. What is depletion region in PN junction?

The region around the junction from which the mobile charge carriers

(electrons and holes) are depleted is called depletion region. Since this region has

immobile ions, which are electrically charged, the depletion region is also known

as space charge region.

2. What are the other names of depletion region?

1. Space charge region

2. Transition region

3. What is meant by barrier potential?

The oppositely charged ions present on both sides of a PN junction when an

electric potential is established across the junction even without any external

voltage source is termed as barrier potential.

4. What is meant by biasing a PN junction?

Connecting a PN junction to an external voltage source is biasing a PN

junction.

5. What are the types of biasing a PN junction?

The types of biasing a PN junction diode are,

1. Forward bias

2. Reverse bias

6. What is meant by forward bias and reverse bias in a PN junction?

When positive terminal of the external supply is connected to P region and

negative terminal to N region, the PN junction is said to be forward biased. Under

forward biased condition, the PN region offers a very low resistance and a large

amount of current flows through it.

Page 70: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

109

7. What is meant by reverse bias in a PN junction?

When the positive terminal of the external supply is connected to N type

and negative terminal to P type then the PN junction is said to be in reverse bias.

Under reverse biased condition the PN region offers a very high resistance and a

small amount of current flows through it.

8. What is meant by reverse saturation current?

The current due to the minority carriers in reverse bias is said to be reverse

saturation current. This current is independent of the value of the reverse bias

voltage.

9. Why do contact differences of potential exist in PN junction?

When a PN junction is formed by placing a p-type and n-type material in

intimate contact, the Fermi level throughout the newly formed specimen is not

constant at equilibrium. There will be transfer of electron and energy until Fermi

levels in the two sides did line up. But the valence and conduction band in p-side

cannot be at the same level as in n-side. This shift in energy level results in contact

difference of potential.

10. What is the static resistance of a diode?

Static resistance R of a diode can be defined as the ratio of voltage V across

the diode to the current flowing through the diode.

1. R = V/ I

where,

R - Static resistance of a diode

V -Voltage across the diode

I - current across the diode

11. Define – Dynamic Resistance

Dynamic resistance of a diode can be defined as the ratio of change in

voltage across the diode to the change in current through the diode.

1. r = V / I

where,

r - Dynamic resistance of a diode

V –change in voltage across the diode

I - change incurrent through the diode

Page 71: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

110

12. What is meant by an amplifier?

An amplifier is a device which produces a large electrical output of similar

characteristics to that of the input parameters.

13. Why do we choose q point at the center of the load line?

The operating point of a transistor is kept fixed usually at the center of the

active region in order that the input signal is well amplified. If the point is fixed in

the saturation region or the cut off region, the positive and negative half cycle gets

clipped off respectively.

14. When does a transistor act as a switch?

The transistor acts as a switch when it is operated at either cut off region or

saturation region.

15. What is meant by biasing?

To use the transistor in any application, it is necessary to provide sufficient

voltage and current to operate the transistor. This is called biasing.

16. What is meant by operating point?

For the proper operation of the transistor a fixed level of current and

voltages are required. These values of currents and voltages defined at a point at

which the transistor operate is called operating point.

17. Define – Luminescence

Luminescence is defined as the emission of light by a solid when it is

stimulated by the source of incident energy.

18. What are the various types of luminescence?

The various types of luminescence are,

a. Photoluminescence

b. Electroluminescence

19. Define – Photoluminescence

Photoluminescence is defined as the incident energy in the form of photons.

Page 72: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

111

20. Define – Electroluminescence

Electroluminescence is defined as the radiation which is produced by the

application of an electric field.

21. Which colour of light is emitted by GaAs, Gp and GaAsp?

GaAs - Infra red radiation (invisible)

GaP- Red or Green

GaAsP- Red or Yellow

22. Define – Injection Laser Diode

Injection laser diode is defined as the coherent emission of light i.e.

essentially monochromatic.

23. What are the limitations of LCD?

The limitations of LCD are as follows:

1. It requires an external or internal light source

2. Temperature range is limited to about60˚C

3. Lime time is limited due to chemical degeneration

24. What are the two types of LCDs?

The two types of LCD are,

1. Dynamic scattering type LCD

2. Field effect LCD

25. What are the types of various crystal materials used in LCD?

The various types of crystal materials used in LCD are as follows:

1. Nematic

2. Cholesteric

Page 73: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

112

UNIT II

1. Define – Transistor

Transistor consists of two junctions formed by sandwiching either P-

type or N- type semiconductor between a pair of opposite types.

2. Write the current amplification factor for a CB transistor.

The current amplification factor for a CB transistor is given as,

a = Change in Collector Current at constant VCB / Change in emitter current

3. Write the formula for input resistance in a CB transistor

Input resistance = Change in base - emitter voltage / Change in emitter

current at constant VCB

4. Write the current amplification factor for a CE transistor.

The current amplification factor for a CE transistor is given as,

b = Change in Collector Current / Change in base current at constant VCE

5. What is meant by transistor action?

A transistor consists of 2 coupled PN junctions. The base is a common

region to both junctions and makes a coupling between them. Since the base

regions are smaller, a significant interaction between junctions will be available.

This is called transistor actions.

6. Define – Delay Time

It is defined as the time required for the current to rise from 0 to

10% of its maximum value.

7. Define – Rise Time

It is the time required for the current to rise from 0 to 90% of the

maximum value.

8. Define – Turn-on Time

It is the time required for the current to rise from 0 to 90% of the maximum

value ton = td + tr

Page 74: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

113

9. Define – Fall Time

It is the time required for the collector current to fall from 90 to 10% of Ics.

10. Define – Storage Time

It is the time required to fall from 100 to 90% of Ics.

11. Define – Turn-off Time

It is the time required to fall from 100 to 90% of Ics. Toff=ts+tr

12. Define – Hybrid parameters.

Any linear circuit having input and output terminals can be analyzed by

four parameters(one measured on ohm, one in mho and two dimensionless) called

hybrid or h- parameters.

13. What is the use of h-Parameters?

It perfectly isolates the input and output circuits. Its source and load

currents are taken into account.

14. Define – Power Transistors

Power transistors are those which handle a large amount of current and also

dissipates large amount of power across collector base junction.

15. Which is the most commonly used transistor configuration? Why?

The CE Configuration is most commonly used.

The reasons are

1. High Current gain

2. High voltage gain

3. High power

4. Moderate input to output ratio

Page 75: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

114

UNIT - III - FET AND ITS APPLICATIONS

1. What are the advantages of FET?

The advantages of FET are as follows:

1. Input impedance is very high. This allows high degree of isolation between

the input & output circuit.

2. Current carriers are not crossing the junctions. Hence noise is highly

reduced.

3. It has a negative temperature co-efficient of resistance. This avoids the

thermal runaway.

2. What is the advantage of MOSFET over JFET?

The input impedance of MOSFET is higher than that of JFET

3. What are the two modes of MOSFET?

The two modes of MOSFET are as follows:

1. Depletion mode

2. Enhancement mode

4. Why is UJT called so?

UJT has only one PN junction. So it is called as uni junction transistor

5. What are the advantages of SCR and TRIAC?

The advantages of SCR and TRIAC are as follows:

1. SCR performs rectification, inversion and regulation of power flow

2. TRIAC is a bidirectional switch and hence it can conduct in both the

direction.

6. Define – Breakdown Voltage

Page 76: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

Breakdown voltage is defined as the applied voltage at which the thyristors conducts

heavily without gate voltage.

7. Define – Latching Current

Latching current is defined as the minimum current required to latch the device from

OFF to ON state.

8. Define – Holding Current

Holding current is defined as the minimum current required to hold the device into

conduction.

9. Define – Turn-on Time

Turn-on time is defined as the time taken by the SCR to reach to its full conduction

from the time the trigger is applied.

10. Define – Turn-off Time

Turn-off time is defined as the finite time taken by the SCR after application of

the reverse voltage to switch the device off.

11. What are the advantage of SCR?

The various advantages of SCR are,

1. Switching speed is high

2. No moving parts

3. It gives noiseless operation at high frequency

4. It controls large current in the load by means of small gate current

5. Occupies less space

12. Write some applications of thyristor.

Applications of thyristor are,

1. Used for power control

2. Used for speed control of a DC shunt motor

13. Define – Finger Voltage

Finger voltage is defined as the minimum voltage which is required between anode

and the cathode of thyristor to trigger into conduction

14. What is the name for solid state equivalent of thyristor?

The name for solid state equivalent of thyristor is thyratron.

15. Define – Inter-base Resistance

Inter-base resistance is defined as the resistnce offered by the silicon bar.

16. Define – Pinch-off Voltage

Pinch-off voltage is defined as the drain source voltge above which the drain current

becomes constant

Page 77: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

116

17. What are the differences between JFET & BJT

S. NO. JFET BJT

1 Unipolar device Bipolar device

2 High input impedance Low input impedance due to forward

bias

3 Voltage driven device Current driven device

4 Gain is characterized by

trans-conductance gain Gain is characterized by voltage

5 Low noise level High noise level

18. What is meant by amplification factor?

It is the product of drain résistance and trans-conductance m=Rd x gm Rd=Drain

resistance, gm=Trans-conductance

19. Define – Drain Resistance

Drain resistance is defined as the ratio of change in drain source voltage to change in

drain current at constant gate source voltage.

UNIT – IV - AMPLIFIERS AND OSCILLATORS

1. Define – DC Load Line

The DC load line is defined as a line on the output characteristics of the transistor

which gives the value of Ic & VCE corresponding to zero signal condition.

2. What is the necessity of the coupling capacitor?

The necessity of the coupling capacitor is to block the DC signal to the transistor

amplifier. It allows AC & blocks the DC.

3. Why is the operating point selected at the centre of the active region?

The operating point is selected at the Centre of the active region to get to

perfect amplification. Moreover there is no distortion.

4. Define – Operational Amplifier

Operational amplifier is defined as a direct-coupled, high gain amplifier consisting of

one or more differential amplifier. By properly selecting the external components, it can be

used to perform a variety of mathematical operations.

5. What happens when the common terminal of V+ and V- sources is not grounded?

If the common point of the two supplies is not grounded, twice the supply

voltage will get applied and it may damage the op-amp.

Page 78: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

117

6. Define – Input Offset Voltage

Input offset voltage is defined as a small voltage applied to the input terminals to

make the output voltage as zero when the two input terminals are grounded is called input

offset voltage

7. Define – Input Offset Current

Input offset current is defined as the difference between the bias currents at the input

terminals of the op-amp.

8. Define – CMRR of an op-amp

The relative sensitivity of an op-amp to a difference signal as compared to a

common – mode signal is called the common –mode rejection ratio. It is expressed in

decibels.

9. In practical op-amps, what is the effect of high frequency on its performance?

The open-loop gain of op-amp decreases at higher frequencies due to the presence of

parasitic capacitance. The closed-loop gain increases at higher frequencies and leads to

instability.

10. Define – Slew rate

Slew rate is defined as the maximum rate of change of output voltage caused

by a step input voltage. An ideal slew rate is infinite which means that op-amp‟s output

voltage should change instantaneously in response to input step voltage.

11. Write any two audio frequency oscillators.

1. RC phase shift oscillator

2. Wein bridge oscillator

12. Write some of the linear applications of op – amps.

Adder, subtractor, voltage –to- current converter, current –to- voltage converters,

instrumentation amplifier, analog computation, power amplifier, etc are some of the

linear op-amp circuits.

13. Write some of the non – linear applications of op-amps.

Rectifier, peak detector, clipper, clamper, sample and hold circuit, log amplifier,

anti-log amplifier, multiplier are some of the non – linear op-amp circuits.

14. What are the areas of application of non-linear op- amp circuits?

1. Industrial instrumentation

2. Communication

3. Signal processing

Page 79: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

118

UNIT – V - PULSE CIRCUITS

1. What is meant by multivibrator?

Multivibrators are a group of regenerative circuits that are used extensively in timing

applications. It is a wave shaping circuit which gives symmetric or asymmetric square

output. It has two states stable or quasi- stable depending on the type of multivibrator.

2. What is meant by monostable multivibrator?

Monostable multivibrator is one which generates a single pulse of specified duration

in response to each external trigger signal. It has only one stable state. Application of a

trigger causes a change to the quasi-stable state. An external trigger signal generated due

to charging and discharging of the capacitor produces the transition to the original stable

state.

3. What is meant by astable multivibrator?

Astable multivibrator is a free running oscillator having two quasi-stable states.

Thus, there is an oscillation between these two states and no external signal is required to

produce the change in state.

4. What is meant by bistable multivibrator?

Bistable multivibrator is one that maintains a given output voltage level unless an

external trigger is applied. Application of an external trigger signal causes a change of state,

and this output level is maintained indefinitely until a second trigger is applied. Thus, it

requires two external triggers before it returns to its initial state.

5. What are the requirements for producing sustained oscillations in feedback circuits?

For sustained oscillations, the total phase shift around the loop must be zero at the

desired frequency of oscillation. At desired frequency, the magnitude of the loop gain A

should be equal to unity.

6. What is meant by filter?

Filter is a frequency selective circuit that passes signal of specified band of

frequencies and attenuates the signals of frequencies outside the band

7. What are the demerits of passive filters?

Passive filters work well for high frequencies. But at audio frequencies, the inductors

become problematic, as they become large, heavy and expensive. For low frequency

applications, more number of turns of wire must be used, which in turn adds to the series

resistance degrading the inductor‟s performance i.e., low Q, resulting in high power

dissipation.

8. What are the advantages of active filters?

Active filters use op- amp as the active element and resistors and capacitors as

passive elements. By enclosing a capacitor in the feedback loop, inductor less active filters

Page 80: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

119

can be obtained. Op-amp used in non – inverting configuration offers high input impedance

and low output impedance, thus improving the load drive capacity.

9. List out some commonly used active filters.

1. Low pass filter

2. High pass filter

3. Band pass filter

4. Band reject filter

10. List out some applications of 555 timer:

1. Oscillator

2. Pulse generator

3. Ramp and square wave generator

4. Mono-shot multivibrator

5. Burglar alarm

6. Traffic light control

11. List out the applications of 555 timers in monostable mode of operation:

1. Missing pulse detector

2. Linear ramp generator

3. Frequency divider

4. Pulse width modulation

12. List out the applications of 555 timers in Astable mode of operation:

1. FSK generator

2. Pulse-position modulator

13. What is meant by combinational logic?

When logic gates are connected together to produce a specified output for certain

specified combinations of input variables, with no storage involved, the resulting circuit is

called combinational logic.

14. Explain the design procedure for combinational circuits.

1. The problem definition

2. Determine the number of available input variables & required O/P variables

3. Assigning letter symbols to I/O variables

4. Obtain simplified Boolean expression for each O/P

Page 81: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

120

15. Define – Half Adder and Full Adder

The logic circuit that performs the addition of two bits is a half adder. The circuit that

performs the addition of three bits is a full adder.

16. Define – Decoder

Decoder is defined as a multiple - input multiple output logic circuits that

converts coded inputs into coded outputs where the input and output codes are different.

17. What is meant by binary decoder?

A decoder is a combinational circuit that converts binary information from n input

lines to a maximum of 2n out puts lines.

18. Define – Encoder

An encoder has 2n input lines and n output lines. In encoder, the output lines

generate the binary code corresponding to the input value.

Page 82: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

121

EE6303-LINEAR INTEGRATED CIRCUITS AND APPLICATIONS

UNIT I – IC FABRICATION

1. Write the basic chemical reaction in the epitaxial growth process of pure silicon.

(A/M-11)

The basic chemical reaction in the epitaxial growth process of pure silicon is the

hydrogen reduction of silicon tetrachloride.

At 12000C SiCl4 + 2H2 <---> Si + 4 H Cl

2. What are the advantages of integrated circuits over discrete circuits?

(A/M-11, M/J-13)

The advantages of integrated circuits over discrete circuits are

1) Miniaturization and increased equipment density

2) Cost reduction due to batch processing

3) Increased system reliability due to elimination of soldered joints

4) Improved functional performance

5) Increasing operating speeds

6) Reduction in power consumption

3. Why are inductors difficult to fabricate in IC’s? (M/J-13)

IC devices are essentially two dimensional as the depth dimension is very small

compared to the lateral dimensions. IC inductors can be made in the form of flat metallic thin

films spirals by successive deposition of conduction patterns. Very small values of

inductance of the order of nano-henry with low quality factor can only be obtained. For any

reasonable inductance value, a three dimensional coil structure is needed to obtain a large

number of turns.

4. What is the purpose of oxidation process in IC fabrication? (A/M-10)

The two main purposes of oxidation process in IC fabrication are

1. SiO2 is an extremely hard protective coating and is unaffected by almost

all reagents except hydrochloric acid. Thus it stands against any

contamination.

2. By selective etching of SiO2, diffusion of impurities through carefully

defined windows in the SiO2 can be accomplished to fabricate various

components.

5. What is meant by parasitic capacitance? (A/M-10)

In p-n junction isolation technique, there is presence of transition capacitance at the

isolating p-n junctions, resulting in an inevitable capacitor coupling between the components

and the substrate. These parasitic capacitances limit the performance of the circuit at high

frequencies.

Page 83: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

122

6. Compare monolithic IC with hybrid IC. (N/D-10)

Monolithic ICs Hybrid ICs

All circuit components and their

interconnections are manufactured on top

of a single silicon chip

All circuit components are attached to a

ceramic substrate and interconnected by

means of either metallization pattern or

wire bonds.

Ideal for applications where identical

circuits are required in very large

quantities.

More adaptable to small quantity custom

circuits

Provides lowest per-unit cost and highest

order of reliability

Provides highest per-unit cost and lowest

order of reliability

7. What is meant by lithography? (N/D-10)

Lithography is a process by which the pattern appearing on the mask is

transferred to the wafer. It involves two steps:

i. The first step requires applying few drops of photo resist to the surface of the

wafer

ii. The second step is spinning the surface to get an even coating of the photo

resist across the surface of the wafer.

8. List out the basic processes used in IC Fabrication. (N/D-11)

The basic processes used in IC Fabrication are

1) Silicon wafer (substrate) preparation

2) Epitaxial growth

3) Oxidation

4) Photolithography

5) Diffusion

6) Ion implantation

7) Isolation technique

8) Metallization

9) Assembly processing & packaging

9. What is meant by ion implantation? (N/D-11)

Ion implantation is a technique used to introduce impurities into a silicon wafer. In

this process, silicon wafers are placed in a vacuum chamber and are scanned by a beam of

high energy dopant ions.

Page 84: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

123

10. List out the various isolation techniques used in IC’s.

The various isolation techniques used in IC‟s are

1) p-n junction isolation

2) Dielectric isolation

11. List out the steps involved in the preparation of silicon wafers.

The steps involved in the preparation of silicon wafer are

1) Crystal growth &doping

2) Ingot trimming & grinding

3) Ingot slicing

4) Wafer policing & etching

5) Wafer cleaning

12. What is meant by metallization?

The process of producing a thin metal film layer that will serve to make interconnection

of the various components on the chip is called metallization.

UNIT II - CHARACTERISTICS OF OP-AMP

1. List out the characteristics of an ideal op-amp. (A/M-10)

The characteristics of an ideal op-amp are

1. Open loop voltage gain is infinite

2. Input impedance is infinite

3. Output impedance is zero

4. Bandwidth is infinite

2. Design an amplifier with a gain of –10 and input resistance of 10 kΩ. (A/M-10)

Since the gain of the amplifier is negative, an inverting amplifier has to be designed,

R1 = 10 kΩ

Rf = - ACLR1

Rf = - (-10) * 10 kΩ = 100 kΩ

3. What are the different kinds of packages of IC741? (A/M-11)

The different kinds of packages of IC741 are

1) Metal can (TO) package

2) Dual-in-line package

3) Flat package

4. What is meant by thermal drift? (N/D-11)

The bias current, offset current and offset voltage change with temperature. A

circuit carefully nulled at 25oC may not remain so when the temperature rises to 35

oC. This

Page 85: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

124

is called thermal drift. Often, offset current drift is expressed in nA / oC and offset voltage

drift in mV/ oC. These indicate the change in offset for each degree Celsius change in

temperature.

5. Define – Input Offset Voltage. (N/D-11)

A small voltage applied to the input terminals to make the output voltage as zero

when the two input terminals are grounded is called input offset voltage.

6. What is the input impedance of a non-inverting amplifier? (M/J-13)

Input impedance of a non-inverting amplifier is very high and the output voltage

follows the input voltage exactly. Hence the non-inverting circuit is also called voltage

follower.

7. Define – Slew Rate

The slew rate is defined as the maximum rate of change of output voltage caused by

a step input voltage and is usually specified in V / µs. An ideal slew rate is infinite which

means that op-amp‟s output voltage should change instantaneously in response to input step

voltage. Slew rate is an important parameter to be considered for selecting an op-amp for

high frequency applications.

8. Define – Common Mode Rejection Ratio (CMRR) of an op-amp

It is defined as the ratio of the differential mode voltage gain to common mode

voltage gain.

CMRR= ρ = Ad/Ac

9. Draw the pin configuration of IC741.

11. What are the DC characteristics of op-amp?

1) Input Bias current.

2) Input offset current.

3) Input offset voltage.

4) Thermal Drift.

Page 86: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

125

12. What are the AC characteristics of op-amp?

1) Slew rate.

2) Frequency response.

13. What are the features of IC 741?

1) No frequency compensation required.

2) Short circuit protection provided.

3) Offset voltage null capability.

4) No latch up.

5) Large common mode and differential voltage range.

UNIT III - APPLICATIONS OF OPAMP

1. What is the need for an instrumentation amplifier? (A/M-11)

In a number of industrial and consumer applications, the measurement of physical

quantities is usually done with the help of transducers. The output of transducer has to be

amplified so that it can drive the indicator or display system. This function is performed by

an instrumentation amplifier.

2. Define – Conversion Time of ADC. (A/M-11)

Conversion time of ADC is defined as the total time required for converting an

analog signal into its digital output. It depends on the conversion technique used and the

propagation delay of circuit components. The conversion time of a successive approximation

type ADC is given by

Tc = T (n+1)

where

Tc conversion time

T clock period

n no. of bits.

3. Draw the circuit diagram of an op-amp based positive clipper. (N/D-10)

Page 87: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

126

4. Which is the fastest ADC and why? (N/D-10)

The parallel or flash type ADC is the fastest ADC because it has high speed, as the

conversion takes place simultaneously rather than sequentially.

5. Draw the circuit of first order active filter. (N/D-11)

6. Draw the circuit diagram of sample and hold circuit. (N/D-11)

Page 88: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

127

7. List out the applications of analog multipliers. (M/J-13)

1) In communication circuits for angle, phase or frequency modulation

2) In instrumentation and control for the measurement of velocity, position etc.

3) For voltage controlled attenuators

4) For frequency converters, frequency doublers and frequency shifters

5) For squaring and square-root calculations

6) In oscillators and various waveform generators

8. Write the significance of lock in range of Phase Locked Loop (PLL). (M/J-13)

Once the PLL is locked, it can track the frequency changes in the incoming signals.

The range of frequencies over which the PLL can maintain lock with the incoming signal is

called lock in range.

9. An 8 bit DAC has a resolution of 20mV/bit. What is the analog output voltage for the

digital input code 00010110 (the MSB is the left most bit)? (A/M-10)

Vo= Resolution * D

Given:

Resolution = 20mV/bit

D = equivalent of 00010110 = 22

Solution:

Vo= (20 * 10 ^ (-3)) * 22 = 0.44 V

UNIT IV

1. Why Vco is called voltage to frequency converter. (N-12)

` The VCO provides the linear relationship between the applied voltage & the

output frequency. So it is known as voltage to frequency converter.

2. In an astable multivibrator using 555 timer, RA = 6.8 kΩ, RB = 3.3 kΩ, C=0.1 μF.

Calculate the free running frequency. (N-12)

Time for one cycle, T=0.693(RA+2RB) C

RA=6.8kΩ

RB=3.3kΩ

C=0.1µF

T=0.693(6.8*103+2*3.3*10

3)*0.1*10

-6

=1.157msec

f = = 864.07Hz

Page 89: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

128

3. List out the applications of 555 timer. (M-12)

The applications of 555 timer are:

(1) Astable multivibrator

(2) Monostable multivibrator

(3) Frequency divider

(4) Pulse width modulation

4. Draw the pin diagram of IC 555 timer. (M-10)

5. Draw the basic block diagram of a PLL IC? (M-10)

6. What is meant by lock range in a PLL? (M-09)

When PLL is in lock, it can trap frequency changes in the incoming signal. The range

of frequencies over which the PLL can maintain lock with the incoming signal is called as

lock range.

7. List out the applications of VCO. (M-11)

The applications of VCO are:

(1) FM Modulation

(2) Signal generation

(3) In frequency multipliers

(4) Tone generation

Page 90: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

129

8. List out the features of 555 timer circuit. (N-09)

The features of 555 timer are:

(1) It has two operating modes – monostable and astable.

(2) It has a high temperature stability.

9. List out the applications of Analog multiplier. (N-08)

It is used in the following applications:

(1) In frequency converters

(2) In communication, in amplitude modulation and in frequency modulation.

10. Define – Pull-in Time

Pull-in time is defined as the total time taken by the PLL to establish lock.

UNIT V - APPLICATION IC’s

1. List out the important parts of regulated power supply. (A/M-10)

The important parts of regulated power supply are:

(1) Transformer

(2) Rectifier

(3) Filter

(4) Regulator

2. What are the advantages of switch mode power supplies? (A/M-10)

The advantages of switched mode power supply are

(1) Low power dissipation

(2) High efficiency

(3) Small size

(4) High power handling capacity

3. Define – Line Regulation.

Line regulation is defined as the percentage change in the output voltage for a change

in the input voltage. It is expressed in milli volts or as a percentage of the output voltage.

4. List out the important advantages of opto-couplers. (A/M-11)

The important advantages of opto-coupler are:

1) Better isolation between the two stages.

2) Impedance problem between the stages is eliminated

3) Wide Frequency response

4) Easily interfaced with digital circuit

Page 91: EE6301 DIGITAL LOGIC CIRCUITS UNIT I BOOLEAN ALGEBRA …dceeee.weebly.com/uploads/3/1/2/0/31202753/eee_ii_year_part_2.pdf · unit i – boolean algebra and cominational circuits part

130

5. What are the advantages of LM 317 regulator over fixed voltage regulator?

The advantages of LM 317 regulator over fixed voltage regulator are:

1) Improved line & load regulation by a factor of 10 or more

2) Improved reliability for the power supply

3) Improved overload protection i.e., greater load current can be drawn over the given

operating temperature range

6. Using LM380 draw the circuit for audio power amplifier. (N/D-10)

7. What are the disadvantages of linear voltage regulators? (N/D-11)

The disadvantage of linear voltage regulators are:

(1) The efficiency of linear regulators are very low of the order of 40-50%.

(2) Large heat sink for the power transistor is required that makes the regulator bulky.

(3) Bulky transformers are required.

8. What is meant by isolation amplifier? 0 (N/D-11)

An isolation amplifier is an amplifier that offers electrical isolation between its input

and output terminals.

9. What is the function of voltage regulator? (M/J-13)

The function of voltage regulator is to provide stable DC voltage for powering other

electronic circuits.

10. What is the principle of switched mode power supplies? (M/J-13)

The SMPS is a series regulator where a pulse generator generates rectangular pulses

which are applied to the control terminal of an electronic switch. This switch is turned on and

off with the help of the rectangular pulses. Here the average output voltage is dependent on

the duty cycle D.