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University of Mumbai 2007-4th Sem B.E Electrical and Electronics Engineering Electrical Networks-II - emr - Question Paper

Monday, 15 July 2013 04:10Web



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CD-5782 [Total Marks : 100

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Cou: 5124-07.

(3 Hours)

N.JJ. t (1) Question No. 1 is compulsory.

(2)    Attempt any four questions out of remaining six questions.

(3)    Assume any suitable data if necessary.

1. (a) Find whether the following polynomial is Hurwitz or not

S4h 7SJi4Szf IOS-l-6

(b)    1 vxplain odd function and even function as regards to Fourier Scries.

(c)    Obtain ABCD parameters if the following two networks are connected in cascade.

5--

5-


(d)    State an important properties of LC network functions.

(e)    Stale and explain following theorems for Laplace transform.

(i) Initial value theorem (ii) Final value theorem.



10


I


T

V a-i


T

V

I



O '5si-


2. (a) Find /-parameters for the following network.

S    I *

VWVT~VW


2.V,


S2


5'(TZ)\5rfa>AJ    rtUrfhA-jr mjiijfy

3. (a) A transfer function is given by F(s)

(S+5-jl5)(S + S + j!5)

1ind the time domain response. Use graphical methods to determine lhc residues.

(b) The circuit is initially under steady state. The switch is moved from position to position at t 0. 10 Find the current i(t) after switching. Use Laplace transform.

S3 + S + 6

S4 +3S3 +S2 i S + 2


4. (a) Check the positive realness ofthe following functions.


10

5

5

10


10


SJ I S + I    SJ + S* + S + I

(b)    State the properties of positive real function.

(c)    State the properties of Hurwitz polynomial.


(i)


5. (a) Kind the lime response of the voltage shown below. Use Fourier transform method.

(b)r )*'tnd trignometric Fourier Series for the following waveform.


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6, (a) Synthesize the RC driving point impcdancc in Caur II form-    f\fj o 7?-~ 10

(S + 1) (S + 3)

Z<s) =

S (S -- 2)

10


(b) Synthesis in Foster I form if

(S + 5) (S + 7) (S + 9)

Y(s)

(S + 6) (S + 5)S

7. (a) For the network shown determine the curTcnti(t) when the switch is closed. Assume that the network is initially relaxed. Draw the waveform ofi(t).

(b) In the circuit shown below the switch is initially open till steady slate condition is rcachcd. It is 10 elosed all 0. Determine the loop currents.







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