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University of Mumbai 2009-3rd Sem B.E Electrical and Electronics Engineering Electrical Networks - Question Paper

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Electrical Networks Sem III June 2009

zr    41-09.

(REVISED COURSE)    v.

(3 Hours)    [Total Marks : 100

N.B.:(1) Question No. 1 is compulsory.

(2)    Answer any four questions out of remaining six questions

(3)    Figures to the right indicates full mafks.

1r*(a]


t of remaining six uwwuvi    a

3) Rguresto jherlghlI indlcates_full rts.

*(a) Draw the dual of the network shown :


5H

1<w

(b)    Test whether P(s) =* sa + 8s5 + 3s4 + 15s3 + 17s2 + 12s + 4s Is Hurwitz.

(c)    Apply waveform synthesis and find Laplace transform for the following wave form.

(d) Find Thevenin's equivalent voltage across a and b.

loov

3.0 JV \/| --* b

O'OlV.


10


2. (a) Use Superposition to find the value of Vx in the circuit shown.

lOvfV

TJi+<zv

10


j"-


lw=


4,

L


(b) Find i(0+) and V(2ms) for circuit in the figure below :

e    trr o

oojv w    500

kma.


It.


V T


[TURN OVER

i r-- '

Co

3


10


2.JL

<b) Define step, ramp, impulse functions and find their Laplace Transforms. 10

5s


and find the time domain response. 8


(s+1){s+3)


12


4. (a) Draw pole-zero plot of I(s) (b) Find Vj/V, and V/I2.


5. (a) Find i (0+), ( 0+ ) f ( 0+), tor the circuit shown. Vc(0) = 0.

10


10


(b) Realize .the Foster form of the following function

(s2+l)(s2 + 3)

s(sz + 2)(s2 +4)

Con. 2641 -VR-3267-09.

cm

mrrv


ryrn


r

Ml

V


t

V

i


or

I


10


(I)


(II)


s3 + 2s2 + s + 2


(b) Test whether following functions are Positive real.

2s2 +2s+1    s3 + 5s2+9s + 3


s3 + 4s + 7s + 9


7, (a) Use nodal analysis to determine Vr

10


0. o\i)


(b) Write short notes on any two :    10

(a)    Z- parameters in terms of y parameters

(b)    Tellegens and Millmans theorem.

(c)    Properties of RC function

(d)    Cut set matrix.


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