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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) Define lumped and distributed networks.
2 M
1(b) Write a short note on controlled sources.
2 M
1(c) Derive the expression of coupling coefficient for two magnetically coupled coils.
3 M
Solve any one question from Q.1(d) & Q.1(e)
1(d) Two inductors having self inductances L1 and L2 and mutual inductance M are connected in parallel. Derive the expression of total inductance of the combination for:
ii) Parallel opposing
7 M
1(e) In a series RLC circuit with variable capacitance, the current is at maximum value with capacitance of 20μF and current reduces to 0.707 times maximum value with capacitance of 30μF. Find the values of R and L. What is the band width of current if supply voltage is 20 sin(6.28×103t)
7 M

2(a) Explain duality of a network.
2 M
2(b) Explain following terms with reference to network topology:
i) Tree and Co-tree
ii) Node and Branch
2 M
2(c) State an explain the Millman's theorem.
3 M
Solve any one question from Q.2(d) & Q.2(e)
2(d) Find the Thevenin's equivalent across a-b terminals of the circuit given below. !mage
7 M
2(e) For the circuit given below determine the vale of RL for maximum power transfer. !mage
7 M

3(a) Discuss the initial conditions of voltage and current in inductor and capacitor.
2 M
3(b) Explain the effect of the time constant on current i(t) in a RC series circuit
2 M
3(c) Obtain the expression of current, power factor and power consumed in the circuit having supply voltage V=100 sin(ωt-60°) and circuit impedance Z=20+j35..
3 M
Solve any one question from Q.3(d) & Q.3(e)
3(d) For the circuit given below switch is moved from 1 to 2 at t=0. Initially C2 is uncharged. Find i(t) for t>0. Image
7 M
3(e) For the circuit given below switch K is closed at t=0. Find the expression of i(t) for t>0. Image
7 M

4(a) Define even and odd function.
2 M
4(b) Write short note on quarter wave symmetry of a functionf(t).
2 M
4(c) Explain the time scaling property of Fourier transform.
3 M
Solve any one question from Q.4(d) & Q.4(e)
4(d) Obtain the Fourier transform of a unit impulse function.
7 M
4(e) Obtain the Fourier series expansion of the waveform given below. !mage
7 M

5(a) How the location of poles affects the performance of a system?
2 M
5(b) What is meant by an all pass function?
2 M
5(c) Derive the condition of symmetry for ABCD parameters.
3 M
Solve any one question from Q.5(d) & Q.5(e)
5(d) Determine the ABCD parameters of the network given below image
7 M
5(e) Derive the expression to convert h parameter to ABCD parameter in a two port network.
7 M

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