Electromagnetism, Electricity

And Digital Electronics

By

Engr. Jorge P. Bautista

Course Outline

I. Theory of Electrons and Electricity

II. Resistor and other passive elements

III. Ohm’s Law and Electric Circuits

IV. Theory of Magnetism

V. Diode and other Electronic Devices

VI. Logic Gates and flip-flops

VII. Combinational and sequential circuits

Text and References

• Digital Design by Mano

• Electronic Devices by Floyd

• Engineering Circuit Analysis by Hayt

• Introduction to Electric Circuits by Dorf

• Introduction to Digital Circuits by Bogart

Theory of Electrons

Principles of Electrons:

Electrons orbit the nucleus of an atom at certain distances from the nucleus. Electrons near the nucleus have less energy than those in more distant orbits.

Bohr’s Atomic Theory of an atom

An atom consist of a nucleus in which it consist of a neutron and a proton in which electrons orbit around it.

Shells of an Atom

In an atom, orbits are group into energy bands know as shells. Each shell has a fixed maximum number of electrons at permissible energy levels. The shells are designated as K,L,M,N, and so on. The outermost shell is know as valence shell and the electrons in this shell are called valence electrons. These valence electrons contribute to chemical reactions and bonding.

Shells of orbital Electrons in an Atom

s p d f g Total

K 2 2

L 2 6 8

M 2 6 10 18

N 2 6 10 14 32

O 2 6 10 14 18 50

Parts of an Atom

Proton – positively charge particle

Electron – negatively charge particle

Neutron – neutral charge particle or no charge at all.

Ionization

Ionization – the process of losing a valence electrons.

Ion – the resulting positively charge atom

Free electrons – the escaped valence electron.

Positive ion – ions that loses an electron

Negative ion – ions that gained an electron

What are insulators, conductors and semi-conductors?

Insulator – name given to materials that do not conduct electricity. They have less than 8 free electrons

Conductor – name given to materials that is a good conductor of electricity. They have many free electrons

Semiconductor – materials having 8 valence electrons.

Some insulators and conductors

*Insulator *ConductorGlass GoldPorcelain SilverMica CopperRubber AluminumAsbestos ZincParaffin TinPaper LeadAir iron

WIRE SIZES

AWG gauge

Diameter, mm

Ohms per Km

Ampacity

0 8.2524 0.3224 245A

1 7.3482 0.4063 211A

22 0.6451 52.9392 7A

24 0.5105 84.1976 3.5A

28 0.3200 212.872 1.4A

What is Electricity?Electricity is• the flow of electrons from an area high in electron

excess to one of lower electron content.• the flow of energy in a wire (similar to the flow of

water in a pipe) that is invisible, that causes the wire to become hot , causes a magnetic field to develop around the wire and can be put to work driving pumps, blowers, fans and so forth.

• Electricity cannot be generated. It can neither be created nor destroyed. It can, however, be forced to move and thus transmit power or produce electrical phenomena.

Two types of electricity:• Static electricity – electricity at rest• Dynamic electricity – electricity in motion

Common Sources of Electrical energy or Power.

1. Battery – a single unit capable of producing DC voltage by converting chemical energy into electrical energy.

2. Dynamo – a machine that converts mechanical energy to electrical energy and vice versa.

3. Motor – transformation from electrical energy to mechanical energy.

4. Generator – transformation from mechanical energy to electrical energy.

5. Solar energy – it converts solar energy from the sun through the use of solar cells.

Alternating Current (AC) and Direct Current (DC)

Direct current or DC is the first type of current because it is easy to produce. This current always flows in one direction. Its disadvantage is that it has an excessive voltage drop and power loss in the power lines for a long distance. Batteries are common sources of direct current.

Alternating current is the solution to the problem of DC. AC allows the flow of current in two directions. Today, it is possible to step up electricity to a power station, transmit it to any distant place and step it down for consumption. A transformer is the device used for stepping up and stepping down AC voltage.

Graphical Representation of a DC

Graphical Representation of an AC

How Electricity is Delivered to a Customer

What is electrical energy and power?

• Electrical Energy – the capacity to do electrical work

• Unit: watt-sec, kilowatt-hour, joule • W = P x t• Where: W = energy• P = power• t = time

• Conversion factor: 1 joule = 107 ergs

• Electric Power – the rate of doing electrical work or it is the rate at which electrical energy is converted to other forms of energy.

• Unit: joule/sec, watt

• P = work/time = EI = E2/R = I2R

• Where E = voltage

• I = current

• R = resistance

What is voltage?

Voltage - (potential Difference) or (electromotive force) – the force or pressure which makes electrons moves or tends to move from atom to atom along the wire.

Unit: volts

What are current and resistance?

Current – the rate of flow of electrons per unit of time. It can be direct current or alternating current.

Unit: Ampere

Resistance– the capability of the resistor to limit the flow of current and reduce the amount of voltage in a circuit.

Unit: ohms,

Ohm’s Law

The current is directly proportional to the voltage across the resistance and inversely proportional to the resistance.

V

I = -----

R

Power Relationship: P = VI

Mathematical PrefixesGiga = x109

Mega = x106

Kilo = x103

milli = x10-3

micro = x10-6

nano = x10-9

pico = x10-12

Conversion to Prefixes and Scientific Notations

1. 25000000V 2. 0.0000067A3. 1250000 meters4. 0.005 liters5. 2.4x103 meters6. 33x10-6watts7. 0.00045 A8. 6.6x106 Ω

EXERCISES

VOLTAGE CURRENT RESISTANCE POWER

24A 10Ω

30V 3Ω

10A 260W

1.2Ω 120W

12V 300W

Basic Electrical Variables

Variable Symbol Unit

Time t sec

Charge Q Coulomb

Current I Ampere

Voltage V Volts

Power P Watts

Energy W Joule

Resistance R Ohms

Conductance G Seimens, mho

Examples

1. A simple circuit has 12V and a resistance of 4.7K. Determine the current and power of the circuit.

2. The output current of a certain integrated circuit is 6mA and it is flowing into a resistance of 5K. Determine the voltage across the resistance.

3. Determine the hot resistance of a 60watts bulb operated from an effective voltage of 120V.

4. The power dissipated in a certain resistance is 100watts and the current is 4A. Determine the resistance.

5. Assume that a family leaves a 60watts light bulb on for a duration of a two weeks trip. If electricity cost 9 cents per kilowatt-hour, determine the cost incurred.

Assignment no. 1I. Research on the following scientist and state

what invention he contributed in the field of electronics

1. Cuneus and Muschenbrock

2. Benjamin Franklin

3. Charles Augustus Coulomb

4. Luigi Galvani

5. Alessandro Volta

6. Hans Christian Oersted

7. Andre Marie Ampere

8. Georg Simon Ohm9. Michael Faraday10. Karl Friedrich Gauss and Wilhelm Eduard Weber11. Joseph Henry12. Heinrich Lenz13. Samuel Finley Breese Morse14. Gustav Robert Kirchhoff15. James Clerk Maxwell16. Joseph Wilson Swan17. Thomas Alva Edison18. Heinrich Rudolf Hertz19. Nikola Tesla20. Guglielmo Marconi

21. Albert Einstein

22. Shockley, Bardeen and Brattain

23. Jack Kilby

24. Robert Norton Noyce

25. Seymour Cray

II. Complete the Table below, show your solutionsresistance current voltage power

2.4A 220W

22Ω 13.75V

10mA 12V

100Ω 3W

III. Problem Solving1. What is the power in a circuit if the

secondary transformer rated at 12V, 2A?2. How much is the power loss of 100Ω

resistance, which consumes current of 10A?

3. How much current is flowing in a 1KΩ resistor with an input voltage of 12V?

4. How much resistance is needed to absorbed a current of 2.5mA with a voltage of 3V?

Resistor Color Codedesignation 4 bands 5 bands 6 bands

1st band Significant figure

Significant figure

Significant figure

2nd band Significant figure

Significant figure

Significant figure

3rd band Multiplier Significant figure

Significant figure

4th band tolerance Multiplier Multiplier

5th band tolerance tolerance

6th band Temp coef

Resistor Color CodeColor SF multiplier TOL TC

Black 0 1

Brown 1 10 +/- 1% 100

Red 2 100 +/- 2% 50

Orange 3 1000 15

Yellow 4 10000 25

Green 5 100000 +/- 0.5%

Blue 6 10 6 +/- 0.25% 10

Violet 7 10 7 +/- 0.1% 5

Grey 8 10 8 +/- 0.05%

White 9 10 9 1

Gold 10 -1 +/- 5%

Silver 10 -2 +/- 10%

Exercises Decode the following resistor color.1. red, blue, violet, green2. Blue, black, red, red3. Yellow, red, orange, silver4. Blue, black, black, red, red5. Green, red, red, green, blue6. Grey, green, silver, green7. Yellow, green, black, white, gold8. Blue, green, violet, red, orange, red

Assignment no. 1I. Research on the life of at list 10 scientist who

contributed in the field of electrical, electronics, computer science and information technology.

II. Decode the following color coded resistor.

1. red, green, blue, violet

2. Yellow, green, silver, blue

3. Blue, yellow, orange, green, red

4. Red, blue, blue, red, orange

5. Violet, black, white, blue

III. Problem Solving:

1. Convert 2.5x10 7 ergs to joules.

2. Convert 1.2kw-hr to watt-sec

3. Convert 4 joules to ergs

4. A lamp operating at 120 volts has a resistance of 200, what is the power used?

5. An electric flat iron draws 11A at a source of 120V. What is the power?

6. A simple machine operates at 210watts at 240 volts, what is its resistance and power?

Resistivity FACTORS GOVERNING THE RESISTANCE OF

MATERIALS OR ELECTRIC CONDUCTORS:• The resistance of different materials varies

greatly. Some such as the metals conducts electricity very readily and hence called conductors. Others, such as wood or plates, at least when moist, are partial conductors. Still others, such as glass, porcelain and paraffin, are called insulators because they are practically non-conducting.

The resistance of an electric conductor depends upon the following:

• Type of conductor material• Length of the conductor• Cross sectional area of the conductor• Temperature• Distributing of current

Series Parallel ResistorsSeries Resistors:Conditions:1. The total resistance of a series resistors

is the sum of the individual resistances.2. The total voltage of a series resistors is

the sum of individual voltages or voltage drops in each resistor.

3. The total current of a series resistors is equal to the individual current in each resistors.

R1 1kR2 1k

R3 1k

V1

5

R1 R2 R3

I1 I2 I3

+VR1- +VR2- +VR3-

It Vt

Equations:

Vt = VR1 + VR2 + VR3

= I1R1 + I2R2 + I3R3

Rt = R1 + R2 + R3

It = I1 = I2 = I3

Power Equation

Pt = P1 + P2 + P3

The total power in a series resistors is equal to the sum of the individual power in each resistor.

Example 1. Determine the total resistance, total current and

current and voltage in each resistor of the circuit below

R1

1k

R2

1k

V1 5

15V

5 ohms

8 ohms

2. Find Rx for the circuit shown below

R3

1k

R4

1k

R5

1k

TP

1

TP

2

Rt

Rx

= 33K ohms12K ohms

7.5K ohms

3. Determine the voltage and power in each resistor below. Find the input voltage.

R3

1

k

R4

1

k

R5

1

k

V2 5

2.5K ohms

1.75K ohms

5K ohms

It = 1.6mA

Assignment no. 34. Find Vt,P1, R1, V2, P2, R3, V3 and Pt for the

circuit shown.

R6 1k

R7

1k

R8 1k

V3 5

Vt

V1 = 2.2V

R1, P1

V2,P2R2 = 4.8 ohms

R3,V3

P3 = 3.12W

2A

Parallel Resistors:

Conditions:

1. The total resistance is equal to the sum of the inverse of the resistances.

2. The total current is equal to the sum of the current in each resistor.

3. The voltages in each parallel resistor are equal.

R4

1kR

5 1k

R6

1k

V2 5

Vt R1 R2 R3+VR1-

+VR2-

+VR3-

It I1 I2 I3

Equations

Vt = VR1 = VR2 = VR3

1 1 1 1

---- = ------ + ------ + -------

Rt R1 R2 R3

It = I1 + I2 + I3

Exercises

1. Find the total resistance of the given parallel resistors.

R1 1k

R2 1k

TP1TP2

Rt 5K 8.75K

2. Determine the total resistance of the given parallel resistors

R1 1

kR2

1kTP1

TP2

R3 1

k

Rt 5K8.75K 10K

3. Find Rx for the parallel resistor below

R7

1kR

8 1k

R9

1k

V2 5

Vt1.5K Rx 2K

20V

4.1mA6.8mA

Assignment no. 4 4. Find the total resistance and current, voltage and power

in each resistor below

R4

1k R5

1k

R6

1k

V1 5

30V16 ohms 12 ohms 18 ohms

Series-parallel resistor

1. Find the total resistance of the circuit below:

R10 1k

R11

1k

R12

1k

R13

1k

TP3TP4R14 1kRt

12

8

7

3

10

2. Find the total resistance of the circuit below. Determine the total current and power. R1 1k R

2 1

kR

3 1

k

R4 1kR5

1k

V1 5R6 1k

15

10

8 4

2

224V

3. Find the total resistance of the circuit below.

R7 1k

R8

1k

R9 1k R10

1k R11 1k

R12

1k

V3 5

2 2

13

1.5

310V

4. Find the total resistance of the circuit below.

R1

3 1

k

R1

4 1

kT

P1 TP

2R

15

1k

R1

6 1

k

Rt10 10

4

8

Assignment no. 51. Find the total current and resistance of the

circuit below.

V1 5

R1 1k

R2

1k

R3

1k

R4

1k

R5 1k

R6

1k

R8 1k

4

2

3

36

4

4

20V

Series Parallel Capacitor

For series capacitor:

1/Ct = 1/C1 + 1/C2 + 1/C3

C1 1uC2 1uC3 1u

TP3TP4

Ct

C1 C2 C3

For parallel capacitor:

Ct = C1 + C2 + C3 C4

1uC

5 1u C6

1u

TP5

TP6

CtC1 C2 C3

Series Parallel InductorFor series inductor

Lt = L1 + L2 + L3L1 1mL2 1m

L3 1mTP7TP8

L1 L2 L3

Lt

For parallel inductor1/Lt = 1/L1 + 1/L2 + 1/L3 L1

1m

L2 1

m L3 1

m

TP1TP2

Lt L1 L2 L3

ExercisesDetermine the total capacitance or inductance of

the circuit below1.

C1 1u

C2

1u

C3 1u C4 1u

C5

1u

C6 1uTP3

TP44uF 10uF

12uF

15uF

4uF

12uF

Ct

2. Find the total inductance.

L4 1m L5 1m

L6 1

m

L7 1

m

L8 1mL9 1mTP5TP6

10mH

5mH

10mH

25mH

12.5mH

5mH

Lt

Assignment no. 61. Find the total inductance of the circuit below

L1

1m

L2

1m

L3 1mL4 1m

L5 1mL6 1m

L7

1m

L8

1mL9

1m

L1

0 1

m

TP

1TP

2

4H 4H

4H 4H

2H 2H 2H 2HLt

1H

1H

2. Change the inductor in problem 1 with Farad and determine the total capacitance.

Magnetism• What is a magnet?• A magnet is an object made of certain materials which

create a magnetic field. Every magnet has at least one north pole and one south pole. By convention, we say that the magnetic field lines leave the North end of a magnet and enter the South end of a magnet. This is an example of a magnetic dipole ("di" means two, thus two poles). If you take a bar magnet and break it into two pieces, each piece will again have a North pole and a South pole. If you take one of those pieces and break it into two, each of the smaller pieces will have a North pole and a South pole. No matter how small the pieces of the magnet become, each piece will have a North pole and a South pole.

The ancient Greeks and Chinese discovered that certain rare stones, called lodestones, were naturally magnetized. These stones could attract small pieces of iron in a magical way, and were found to always point in the same direction when allowed to swing freely suspended by a piece of string. The name comes from Magnesia, a district in Thessaly, Greece

Things that uses magnet:

Headphones, stereo speakers, telephone receivers, phone ringers, microwave tubes, doorbell ringer solenoid, floppy disk recording and reading head, credit card, computer monitor deflection coil, computer hard drive recording, TV deflection coil, clothes washer and dryer, DVD spinner and head positioner, hard disk spinner, starter motor, A/C clutch, etc.

Ten facts about magnet• 1. North poles point north, south poles point south. • 2. Like poles repel, unlike poles attract. • 3. Magnetic forces attract only magnetic materials. • 4. Magnetic forces act at a distance. • 5. While magnetized, temporary magnets act like permanent

magnets. • 6. A coil of wire with an electric current flowing through it

becomes a magnet. • 7. Putting iron inside a current-carrying coil increases the

strength of the electromagnet. • 8. A changing magnetic field induces an electric current in a

conductor. • 9. A charged particle experiences no magnetic force when

moving parallel to a magnetic field, but when it is moving perpendicular to the field it experiences a force perpendicular to both the field and the direction of motion.

• 10. A current-carrying wire in a perpendicular magnetic field experiences a force in a direction perpendicular to both the wire and the field.

Types of magnets

Permanent magnet

Temporary magnets

Electromagnets

• Permanent Magnets• Permanent magnets are those we are most

familiar with, such as the magnets hanging onto our refrigerator doors. They are permanent in the sense that once they are magnetized, they retain a level of magnetism. As we will see, different types of permanent magnets have different characteristics or properties concerning how easily they can be demagnetized, how strong they can be, how their strength varies with temperature, and so on.

• Temporary Magnets• Temporary magnets are those which act like a

permanent magnet when they are within a strong magnetic field, but lose their magnetism when the magnetic field disappears. Examples would be paperclips and nails and other soft iron items.

• Electromagnets• An electromagnet is a tightly wound helical coil

of wire, usually with an iron core, which acts like a permanent magnet when current is flowing in the wire. The strength and polarity of the magnetic field created by the electromagnet are adjustable by changing the magnitude of the current flowing through the wire and by changing the direction of the current flow.

• Neodymium Iron Boron magnet = Nd2Fe14B or Nd15Fe77B8.

Coulomb’s law

The magnitude of the electrostatic force between two point electric charges is directly proportional to the product of the magnitudes of each of the charges and inversely proportional to the square of the total distance between the two charges.

k Q1Q2

F = -------------- where k = 8.99E9 Nm2/C2

r2

K = 1 / 4o

But = 8.854x10E-12

Examples1. Two charges of +1C each is separated at

a distance of 1meter. Determine the force of repulsion of the two charge.

2. Two balloons are charge with identical quantity of -6.25uC. They are separated with a distance of 66.67cm. Determine the force of repulsion of the two balloons.

3. Two charges +1.2uC and -2.4uC are separated with a distance of 2m. Determine the force of attraction of the two charges.

4. The force of attraction between a +2.2uC and an unknown charge is 1.2N. They are separated by 120cm distance. Find the charge of the other electron.

5. Given the figure below:

Find the total force of the two charges on charge -3.3uC. Which has greater force of attraction?

+2.2uC -3.3uC +4.5uC

21cm

45cm

Assignment no. 71. Two charges, -10uC and +15uC, are

acting on a force of attraction of 4.5N. Determine their distances.

2. Two point charges, +25nC and -75nC, are 10cm apart. Determine the force of attraction between them.

3. Determine the force of attraction of two negatively charge particle to the positively charge particle. Determine total force.

+12uC

-20uC-20uC

4cm

3cm

4. Find the total force develop by three positive charge to the negative charge particle in the figure

-20uC +10uC

+20uC+40uC

12in

10in

Semiconductor Materials• Semiconductors conduct less than metal

conductors but more than insulators.• Some common semiconductor materials

are silicon (Si), germanium (Ge), and carbon (C).

• Silicon is the most widely used semiconductor material in the electronics industry.

• Almost all diodes, transistors, and ICs manufactured today are made from silicon.

• Intrinsic semiconductors are semiconductors in their purest form.

• Extrinsic semiconductors are semiconductors with other atoms mixed in.

• These other atoms are called impurity atoms.

• The process of adding impurity atoms is called doping.

The figure below illustrates a bonding diagram of a silicon crystal.

• Thermal energy is the main cause for the creation of an electron-hole pair, as shown in Figure

• As temperature increases, more thermally generated electron-hole pairs are created.

• In the figure, the hole acts like a positive charge because it attracts a free electron passing through the crystal.

• The figure shows the doping of a silicon crystal with a pentavalent impurity.(N type)

• Arsenic (As) is shown in this figure, but other pentavalent impurities such as antimony (Sb) or phosphorous (P) could also be used.

• The figure shows the doping of a silicon crystal with a trivalent impurity.(P type)

• Aluminum (Al) is shown in this figure, but other trivalent impurities such as boron (B) or gallium (Ga) could also be used.

• A popular semiconductor device called a diode is made by joining p- and n-type semiconductor materials, as shown in Fig. a.

• The doped regions meet to form a p-n junction.

• Diodes are unidirectional devices that allow current to flow in one direction.

• The schematic symbol for a diode is shown in Fig. b.

The PN junction

Biasing of Diodes

1. Forward bias

2. Reverse bias

Volt-Ampere Characteristic Curve

• Previous slide is a graph of diode current versus diode voltage for a silicon diode.

• The graph includes the diode current for both forward- and reverse-bias voltages.

• The upper right quadrant of the graph represents the forward-bias condition.

• Beyond 0.6 V of forward bias the diode current increases sharply.

• The lower left quadrant of the graph represents the reverse-bias condition.

• Only a small current flows until breakdown is reached.

Diode Approximations

1. First approximation(switch)

2. Second approximation(voltage Ge=0.3V, Si=0.7V)

3. Third approximation(with internal resistance called bulk resistance)

Polarity of Diodes

Diodes

Cathode Lead

Anode Lead

Diodes

Cathode LeadCathode Lead

Anode LeadAnode Lead

Diode ApplicationDetermine whether the diode is forward or reverse

bias.

1.

V1 5D1 1N1183

R1

1k

Si

10V1K

I

2.

V2 5D2 1N1183

R2

1k

Si

1K10V

I

3. Find the current and the voltage across the load if possible.

D3 1N1183D4 1N1183V3 5

R3

1k

Si Ge

12V1.5K

4.

D3 1N1183V3 5

R3

1k

D4 1N1183

Si Ge

12V1.5K

Si Si

5. Find the voltage and current in 1KΩ

V4 5

D5 1N1183 R4

1k

Ge

1K10V

6.Determine the current and voltage across 1.5KΩ

V5 5D6 1N1183 D7 1N1183

D8 1N1183 R5

1k

Si

Si

Si

1.5K12V

7. Determine which switch will turn “ON” the LED.(all diode are silicon)

V1 5D1 1N1183

D2 1N1183

D3 1N1183

D4 1N1183

D5 1N1183

LED

1 C

QX

35A

SW1

SW2

SW3

SW4

SW5

12V

8. Find the output voltage

D6

1N

118

3

R1

1k

D7 1N1183

V2 5

12V

Si

Si

0.9K

Vo

Assignment no. 8

1. Determine whether the diode is in forward or reverse bias. Why?

V3 5D8 1N1183R2 1k R

3 1k

Ge

2. Identify the switches that will make the LED to “ON” D9 1N1183D10 1N1183D11 1N1183

D12 1N1183

D1

3 1

N11

83

D1

4 1

N11

83

LE

D2

CQ

X3

5A

V4 5SW6SW7SW8

SW9

SW10

SW

11

SW

12

A

B

C

D

E F G

3. Find the output voltage VoD15 1N1183D16 1N1183

D17

1N

1183

V5 5

V6 5

6.8V

Si Si

Si

1.4V

Vo

4. Find the current and voltage across 2KΩ

V7 5

R4 1k

D1

8 1

N11

83

V8 5

R5

1k

15V

2K

3V

0.5K

Si

Special types of diodes

1. Zener diode – a silicon pn junction device that differs from rectifier diode because it is designed for operation in the reverse breakdown region.

Symbol:

Z1 1N2804

2. LED(light emitting diode) – it is made of gallium arsenide or gallium arsenide phosphide.

Operation: when the device is forward bias, electrons cross the pn junction from the n type material to p type material. When recombination takes place, the electrons release energy in the form of heat and light. LED1 CQX35A

3. photodiode- a pn junction that operates in reverse bias. It has a small transparent window that allows light to strike the pn junction.

Z1 1N2804

4. Current regulator diode - it maintain a constant current as the zener diode maintain constant voltage.

K

5. Varicap (variable capacitor)

VD1 BA102

Transistor- a three terminal device used for signal amplification.

Three parts: collector, base and emitter

Two types: bipolar junction transistor

field effect transistor

Types of transistor: pnp and npn

Symbol:

NPN PNP

T1 !NPN

T2 !PNP

Construction:

nn p

p n p

e

b

c

e

b

c

npn transistor

pnp transistor

Diode equivalent

D1

1N

11

83

D2

1N

11

83

N

P

N

D1

1N

11

83

D2

1N

11

83

P

N

P

Transistor configuration:

Common base

Common collector

Common emitter

Current consideration: Ic + Ib = Ie

Transistor parameters:

Alpha and beta

BJT proper biasing

Mode e-b jct. c-b jct. Use

Active forward reverse amplifier

Cutoff reverse reverse switch, off pos.

Saturation forward forward switch, on pos.

Transistor characteristics curve:

Simple transistor circuit:

T4 !NPN

R3

1k

R4 1kV1 5

V2 5

Vcc

Rc

Rb

VbbSi

Vcc

RcRb

Vbb

= 10V=100= 10K

= 5VB = 150

Logic gates and Boolean Algebra

Boolean algebra(logic operation)

1+1=1

1+0=1

0+0=0

1x1=1

1x0=0

1’ = 0

Binary addition : 1+1 = 10

Perform binary addition for the following:

1. 11101101

+ 1011101

2. 101011111

+ 111101101

Use truth table to simplify the given expression.

1. Y = A’ + BC’

2. Y = (AB)’(A+C)’

3. Y = A + A’(A)

4. Y = B’