University of Mumbai 2008-4th Sem B.E Electrical and Electronics Engineering Electrical Networks - Question Paper

Electrical Networks Sem IV May 2008

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

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

(3)    Figures to the right indicate full marks.    -

c, trutO    cnof-    vi/J)'⁰

1. "(a) Find the Laplace transform of non-periodic function shown in figures -    20

fct)

*t

(o) Find the z-parameters in terms of h-parameters.

(c)    Test whether the following function is Hurwitz Polynomial.

(d)    Using Laplace transform find the expression for i(t) In the netwoifc given if switch is closed at t s 0.

2. (a) Two networks are shown in diagram. Obtain the transmission parameters of the resulting 10 circuit when both the circuits are cascade.

(To

(b) In the circuit shown in figure below, switch K is opened at t = 0. Find the expression 10 for the o/p voltage V₀(t). Use Laplace transform.

IP \(0

I

Con. 3270-C0-9709-08.

,T*trxe? firz-'U^/r tn-cV'- rr~-r

3. (a) Check whether the following functions are positive real -    ? M

s + 3

0) F(S)

S + 5s + 6

2s^a + 2s² + 3a + 2 s² + 1

(} Derive the conditions for reciprocity and symmetry of the circuit in terms of z-parameters. 10

4. (a) Find the network functions rrr t. t* and for the network shown in figure. 10

^vt *1    S

A. p    I.

t oi n.rzrv,<x>

I

ip

- _

(b) The network shown has zero initial conditions. A voltage Vt) - 6(1) applied to two 10

[-21 -311 e + e" J, What should be V,(t) to give

v₀(t) = 1 e-.

5. (a) Find the Fourier series of the wavelorm shown -    10

t CO

(b) Determine V_c(t) use Fourier transform -

t

T '

cC

I

6. (a) Realise the Foster forms of the foilowing RC impedance function -

2(s + 2)(sf4)

^M ' (8f1) (St3)

(b) Find the Caver forms ol the following RL impedance function -

2(s + 1) (s + 3)

z(s)

<8 + 2) (s * 6)

7. Write short notes on (any two)

(a)    Odd function and Even function as regards to Fourier series

(b)    The complex Treavency plane

i*a uuui    ii..i ._____

20

Attachment: university-of-mumbai-2008-b-e-electrical-and-electronics-engineering-51161-1.pdf

Earning:   Approval pending.