Attempt any four:
1 (a)
Find Vs
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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.
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1 (c)
Determine Z(s) in the network. Find poles and zeros of Z(s) and plot them on s-plane.
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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.
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1 (e)
Using the relation Y=Z-1, show that |z|=12(z22y11+z11y22)
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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.
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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,didt and d2idt2 at t=0+
Find: i,didt and d2idt2 at t=0+
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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)=s2+6x+5x2+9s+14ii) f(s)=s2+is3+4s
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5 (b)
Realize Foster I and Foster II forms of the following impedance function. Z(s)=(s2+1)(s2+3)s(s2+2)
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6 (a)
Find the network functions V1I1;V2V1and V2I1
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6 (b)
Find Cauer I and II forms of RL impedance function: Z(s)=2(s+1)(s+3)(s+2)(s+6)
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