MU Electronics Engineering (Semester 3)
Circuit Theory
December 2011
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

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
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 d2i/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)=s4 s3 5s2 3s 4
(ii) P(s)=s4 s3 2s2 3s 2
10 M
5 (b) Test wheather the following functions are positive real function :-
$F\left(s\right)=\frac{2s^3+2s^2+3s+2}{s^2+1}$
$F\left(s\right)=\frac{s^2+1}{s^3+4s}$
10 M

6 (a) Obtain the Cauer forms of the following RC impedance function :-
$Z\left(s\right)=\frac{\left(s+2\right)\left(s+6\right)}{2\left(s+1\right)\left(s+3\right)}$
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 d2i/dt at t=0+
10 M
7 (b) For the network shown in figure below find the response V0(t)
10 M

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