USN l0ES34

Third Semester B"E. Degree Examination, Dec. Z0l3lJan.2014Network Analysis

Time: 3 hrs. Max. Marks:100Note: Answer FIVEfull questions, selecting

utleast Tl4/O questions from each port,

PART _ A

1 a. Find the equivalent resistance at AB using Y - A transformation technique for the circuitshown in Fig. Ql(a). (All the resistors connected are 30 Q each). (05 Marks)

b' Find 'i"' and 'v,' lbr rhe circuit shown in Fig. \] I (b) by Mesh analysis. (05 Marks)

c. For the network given in F,g. Qi(.:), finj '19' usi;rg ni,dal analysis. (10 Marks)

UD

4tx- To ln +t24V7-r\-

(10

.Joo!

q)

()!

4o

d97r)-*1troo

nboYO-o:e

(.) =

aX

o()

;6

iaOE

6Xtrp.o'!o-j

ai= -!l>- (Fuo"io0.-c6=a:\:oYl

U<-i ..i

ooZ

1rl

2a.

b.

Write the tie - set s:hedule fbr the,retwork shorvl in Fig. Q2(a), and using the tie setschedule determine all brarch currents. {Take inner resistors as tree branch elements).

(10 Marks)For the network shown in Fig. Q2(b). draw the dual circuit. Also write the nodal equationsfor the dual circuit.

Fig. Q2(a) '+

Find the voltage 'V' across

the Fig. Q3(a).

3f) resistor using superposition theorems for the circui3a.

b.

(10 Marks)load resistor Rr-

(I0 Marks)State Millman's theorem. Using Millman's theorem tlnd current through thefbr the circuit shown in Fig .Q3(b).

:l$-rr-

a. Find the Thevenin's equivalent of the network shown in Fig. Q4(a). (10 Marks)b. State maximum power transfbr theorem. For the circuit shown in Fig. Q4(b), what should be

the value of 'R' sucir that maximum power transfbr can take place from the rest of the

Fig. Q3(a)

network to 'R'. Obtain rhe amount of this power,33- 5)_

Fig. 3(b)

(10 Marks)

Fig. Q1(a)

ldlL

Irig. Ql(b) Fig. Q1(c)

m*"{ l<

./g

(.*zt;l (

w

\*

ti ?Yt'

Fig.Qa(a) Fig.Qa(b)

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10ES34

PART - B

5 a. A220 V, 100 Hz AC souice supplies a series RLC cil'cuit with a capacitor and a coil. If thecoil has 50 m O resistance and 5 mH inductance, find at a resonance frequency of 100 Hzwhat is the value of capacitor. Also cal,:ulate the Q factor and half power frequencies of thecircuit.Find the value of Rr such that the circuit given in Fig. Q5(b) is resonant.

(10 Marks)(06 Marks)

(10 Marks)

(10 Marks)

(10 Marks)(10 Marks)

5rt

iu's=En* Fig.e7(b)

(10 Marks)

c.

6a.

la.

b.

Fig. Qs(b) Fig. Qs(c)Determine Rl and Rc- that causes the circuit to be resonant at all frequencies for the circuitshown in Fig. Q5(c). (04 Marks)

In the network shown in Fig. Q6(a) the switch is closed at t : 0. Determine

b. For the circuit shown in Fig. Q6(b), the switch 'K' is changed from position - I to position -2 at t: 0 steady - state condition having been reached at position - 1. Find the values of i,

. di ,d2it, Jand-;at t:o.dt dt'

d, d2i -+-r-.-at t:0dt'6,2

Fig. Q6(a) Fie. Q6(b)

Inthe Fig. Q7(a), the battery voltage'10'V is applied fbr a steady state period with switch'K' open. Obtain the cornplete expression lbr the current after closing the switch K. UseLaplace transforms.Referring to the Fig. Q7(b), solve lbr i;(t ). using Laplace transtbrmation.

ig ta^AA

Io-a-

2 su.(*-4

Fig.Q7(a)

8 a. Find the 'z' parameters of the circuit shown in Fig. Q8(a).T ILJL-\ .-

lbr a network

network.the

r(a)

lme

fbr

Q8(paral

ers fi

Following are the nrbl,T

[n, ' n,rl: [, 21

Lt , rrrr]-L3 6]

Determine the Y paramet

4-

(10 Marks)

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