STUPIDSID
1 (a)
How many trees are possible for the graph of the network?
5 M
1 (b)
What are the conditions for a rational function f(s) with real co-efficients to be positive real function?
5 M
1 (c)
Express hybrid parameter in terms of impedance parameters
5 M
1 (d)
State the properties of Hurwitz polynomial
5 M
2 (a)
Find voltage across 5Ω resistor using mesh analysis
10 M
2 (b)
For the network shown write down the tieset matrix and obtain network equillibrium equation in matrix form using KVL. Calculate loop currents 2?
10 M
3 (a)
In the network shown what will be the RL to get maximum power delivered to it? What is the value of this power?
10 M
3 (b)
Find Thevenin equivalent network
10 M
4 (a)
In the network shown the switch closes at t=0. The capacitor is initially unchanged. Find Vc and ic
10 M
4 (b)
Calculate the twig voltage using KCL equation for the network shown
10 M
5 (a)
For the network shown, determine the current i(t) when switch is closed at t=0 with zero initial conditions
10 M
5 (b)
Find impulse response of voltage across the capacitor in the network shown. Also detemine response Vc(t) for step input
10 M
6 (a)
Test whether the following polynomial are hurwitz. Use continued fraction Expansion.
(i)s4+2s2+2
(ii) s7+2s6+2s5+s4+4s3+8s2+8s+4
(i)s4+2s2+2
(ii) s7+2s6+2s5+s4+4s3+8s2+8s+4
10 M
6 (b)
Two identical sections of the network shown are connected in cascade. Obtain the transmission parameter of overall connection
10 M
7 (a)
Find the first and second couer form of the given function :-
\[z\left(s\right)=\frac{\left(s+1\right)\left(s+3\right)}{s\left(s+2\right)}\]
\[z\left(s\right)=\frac{\left(s+1\right)\left(s+3\right)}{s\left(s+2\right)}\]
10 M
7 (b)
Test whether the following functions are positive real function :-
\[f\left(s\right)=\frac{s^2+6s+5}{s^2+9s+14}\]
\[f\left(s\right)=\frac{s^3+6s^2+7s+3}{s^2+2s+1}\]
\[f\left(s\right)=\frac{s^2+6s+5}{s^2+9s+14}\]
\[f\left(s\right)=\frac{s^3+6s^2+7s+3}{s^2+2s+1}\]
10 M
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