1 (a)
For maximum power transfer find the value of Z

(i) Z

(ii) Z

_{L}if(i) Z

_{L}is impedance(ii) Z

_{L}is pure resistance :
5 M

1 (b)
find initial value of, f(t)= 20-10t-e

verify using initial value theorem.

^{-25t}verify using initial value theorem.

5 M

1 (c)
In the network given below, initial value of I

_{L}=4A and V_{C}=100. Find I_{C}(0^{+}):
5 M

1 (d)
Current I

I

I

Obtain T and Π(pi) representation.

_{1}and I_{2}entering at 1 and port 2 respectively of two port network are given by following equation.I

_{1}=0.5V_{1}- 0.2V_{2}I

_{2}= -0.2V_{1}+V_{2}Obtain T and Π(pi) representation.

5 M

Attempt any FOUR from the following

1 (e)
For network shown, find V

_{C}/V and draw pole-zero plot.
5 M

2 (a)
Using mesh analysis find power supplied by the dependent source.

10 M

2 (b)
Find current supplied by source.

10 M

3 (a)
Write B and Q matrix for the Graph shown.

10 M

3 (b)
Draw Bode plot for the function G(s). Find gain margin, phase margin and comment on stability.

\[ G(s)= \frac{2(s+0.25)}{s^2(s+1)(s+0.5)} \]

\[ G(s)= \frac{2(s+0.25)}{s^2(s+1)(s+0.5)} \]

10 M

4 (a)
Switch is opened at t=0 with initial conditions as shown. Find

\[ v_1, \frac{dv_1}{dt}, \frac{dv_2}{dt}\ at \ time\ 0^+ \]

\[ v_1, \frac{dv_1}{dt}, \frac{dv_2}{dt}\ at \ time\ 0^+ \]

10 M

4 (b)
Find Y parameter using interconnection:

10 M

5 (a)
In the network key is closed at t=0. Find i

_{1}(0^{+}), i_{2}(0^{+}and i_{3}(0^{+}).
10 M

5 (b)
Find i(t).

10 M

6 (a)
The circuit attain steady state with switch at position (a) & is moved to position (b) at t=0. Find V(t) for t ≥ 0.

10 M

6 (b)
Find Z

_{11}, Z_{21}and G_{21}
10 M

7 (a)
Realize following functon in Foster II form

\[ Z(s)=\frac{(s^2+1)(s^2+3)}{s(s^2+2)(s^2+4)} \]

\[ Z(s)=\frac{(s^2+1)(s^2+3)}{s(s^2+2)(s^2+4)} \]

10 M

7 (b)
Check following polynomials for Hurtwitz -

\[ \ \left(i\right)\ \ p\left(s\right)=S^4+4s^2+8 \]

\[ \left(ii\right)\ \ p\left(s\right)=s^4+s^3+5s^2+3s+4 \]

\[ \ \left(i\right)\ \ p\left(s\right)=S^4+4s^2+8 \]

\[ \left(ii\right)\ \ p\left(s\right)=s^4+s^3+5s^2+3s+4 \]

10 M

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