1 (a)
Explain the terms: (i) Linear (ii) Bilateral (iii) Passive (iv) Reciprocal (v) Time invariant (vi) Oriented graph and (vii) Tree.
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1 (b)
Justify: the current in an inductor and voltage across a capacitor cannot change instantaneously.
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2 (a)
State and explain maximum power transfer theorem. Also derive the condition for maximum power transfer to the load for DC and AC circuit.
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Answer any one question from Q2 (b) & Q2 (c)
2 (b)
Using mesh analysis determine mesh current i and the value of k which causes i=0 if V1 =10 v and V2=2 v for the network shown in figure 1.
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2 (c)
Using nodal analysis find the value of k such that V y is zero for the network shown in figure 2.
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Answer any two question from Q3 (a), (b) & Q3 (c), (d)
3 (a)
What is significance of initial condition? Write initial conditions for R, L and C at t=0 + and at t=∞.
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3 (b)
For the network shown in figure 3 the switch k is closed at t=0, also it reaches a steady state with the switch k open. Find the current i(t) for all time.
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3 (c)
What is time constant? Explain time constant in terms of RL and RC circuit.
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3 (d)
Determine Vb (0+) and Vb (∞) for the network shown in figure 4, which reaches to steady state with switch k open and at t=0, the switch k is closed.
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Answer any two question from Q4 (a), (b) & Q4 (c), (b)
4 (a)
Explain concept of poles and zeros and their significance in network functions.
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4 (b)
Find the h parameters for the network shown in figure 5.
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4 (c)
Find Laplace transform of f1(t)=cos ωt and f2(t)=e-at sin ωt.
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4 (d)
For the network shown in figure 6 determine voltage transfer gain G12 =V2/V1.
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Answer any two question from Q5(a), (b) & Q5 (c), (d)
5 (a)
Derive relationship between incidence matrix (A), fundamental cut-set matrix (Qf) and fundamental tie-set matrix (Bf).
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5 (b)
Find the Z parameters for the network shown in figure 7.
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5 (c)
Derive expression of h parameter in terms of Z and Y parameters.
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5 (d)
For the network shown in figure 8 draw the oriented graph. Also obtain incidence matrix (A), fundamental tie-set matrix (Bf) and fundamental cut-set matrix (Qf).
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