1 (a)
State the properties of Hurwitz polynomial

5 M

1 (b)
Find the voltage at mode 2 for the figure shown below

5 M

1 (c)
State the condition for receiprocity of h-parameter and prove it

5 M

1 (d)
Draw the dual of the network shown in figure below :

5 M

2 (a)
Find the voltage across the 5Ωresistor for the circuit shown below :-

10 M

2 (b)
Find the current through the 30Ω resistor for the circuit shown below :-

10 M

3 (a)
The graph of network is shown in figure below, write the -

(i) Incidence matrix

(ii) F-cutset matrix

(iii) Tie set matrix

(i) Incidence matrix

(ii) F-cutset matrix

(iii) Tie set matrix

10 M

3 (b)
In the network shown in figure below the switch is closed at t=0, the steady-state being reached before t=0. determine current through inductor of 3H

10 M

4 (a)
Find the values of I, di/dt and d

^{2}i/dt at t=0^{+}for the network shown in figure below, when switch is changed from the position 1 to be the position 2 at t=0. steady condition having reached before switching
10 M

4 (b)
Determine Y parameter for the network, shown in figure below :-

10 M

5 (a)
Test whether following polynomial are Hurwitz :-

(i) P(s)=s

(ii) P(s)=s

(i) P(s)=s

^{4}s^{3}5s^{2}3s 4(ii) P(s)=s

^{4}s^{3}2s^{2}3s 2
10 M

5 (b)
Test wheather the following functions are positive real function :-

\[F\left(s\right)=\frac{2s^3+2s^2+3s+2}{s^2+1}\]

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

\[F\left(s\right)=\frac{2s^3+2s^2+3s+2}{s^2+1}\]

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

10 M

6 (a)
Obtain the Cauer forms of the following RC impedance function :-

\[Z\left(s\right)=\frac{\left(s+2\right)\left(s+6\right)}{2\left(s+1\right)\left(s+3\right)}\]

\[Z\left(s\right)=\frac{\left(s+2\right)\left(s+6\right)}{2\left(s+1\right)\left(s+3\right)}\]

10 M

6 (b)
For the network shown in figure below find. Z and Y parameter

10 M

7 (a)
In the network shown in figure below the switch is changed from the position '1' to position '2' at t=0. steady condition having reached before switching.

find the values of I, di/dt and d

find the values of I, di/dt and d

^{2}i/dt at t=0^{+}
10 M

7 (b)
For the network shown in figure below find the response V

_{0}(t)
10 M

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