STUPIDSID
Attempt any four:
1 (a)
Find Vs
5 M
1 (b)
Switch is closed at t=0. Assuming all initial conditions as zero, find i and di/dt at t=0* for the following network.
5 M
1 (c)
Determine Z(s) in the network. Find poles and zeros of Z(s) and plot them on s-plane.
5 M
1 (d)
Test whether the following polynomials are Hurwitz.
i) P(s)=s4+s3+3s2+2s+12
ii) P(s) = s4+7s3+6s2+21s+8.
i) P(s)=s4+s3+3s2+2s+12
ii) P(s) = s4+7s3+6s2+21s+8.
5 M
1 (e)
Using the relation Y=Z-1, show that \( |z| = \dfrac {1}{2} \left ( \dfrac {z_{22}}{y_{11}}+ \dfrac {z_{11}}{y_{22}} \right ) \)
5 M
2 (a)
For the network shown below, switch is opened at t=0. If steady state is attained before switching, find the current through inductor.
10 M
2 (b)
Find voltage across 5 Ω resistor using mesh anlysis.
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3 (a)
For the following graph of the network, write.
i) Incidence Matrix, ii) Tieset Matrix and iii) Cutset Matrix
i) Incidence Matrix, ii) Tieset Matrix and iii) Cutset Matrix
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3 (b)
Using Superposition theorem, determine the voltages V1 and V2.
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4 (a)
In the following network switch is changed from position 1 to 2 at t=0. Before switching, steady state condition has been attained.
Find: \( i, \dfrac {di}{dt} \ \text{and }\dfrac {d^2i}{dt^2} \ \text{at t}=0^+ \)
Find: \( i, \dfrac {di}{dt} \ \text{and }\dfrac {d^2i}{dt^2} \ \text{at t}=0^+ \)
10 M
4 (b)
Find Z parameters for the network
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5 (a)
Test whether the following functions are positive real. \[ i) \ \ F(x) = \dfrac {s^2 + 6x +5}{x^2 + 9s+14} \\
ii) \ \ f(s) = \dfrac {s^2+i}{s^3 + 4s} \]
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5 (b)
Realize Foster I and Foster II forms of the following impedance function. \[ Z(s) = \dfrac {(s^2 +1)(s^2+3)}{s(s^2+2)} \]
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6 (a)
Find the network functions \( \dfrac {V_1}{I_1} ; \dfrac {V_2}{V_1} \text{and } \dfrac {V_2}{I_1} \)
10 M
6 (b)
Find Cauer I and II forms of RL impedance function: \[ Z(s) = \dfrac {2 (s+1)(s+3)}{(s+2)(s+6)} \]
10 M
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