Total marks: --
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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) Explain the terms ( i ) Linear (ii) Bilateral ( iii) Passive (iv) Reciprocal (v) Time invariant (vi) Lumped parameter and (vii) Dual with reference to Network.
7 M
1 (b) Derive formulae to convert given "Y" parameters into "h" parameters.
7 M

2 (a) Calculate VX in the circuit of Figure 1 using
(a) nodal analysis and
(b) Superposition.
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7 M
2 (b) Describe Laplace transformation method for solving differential equations; state its advantage over the classical method.
7 M
2 (c) (i) Derive Laplace transform of derivatives and integrals.
(ii) Find Laplace transform of sinoot.
7 M

3 (a) Explain incident matrix of a linear oriented graph with example.
7 M
3 (b) State and explain (i) Reciprocity theorm (ii)Nortons Theorm.
7 M
3 (c) The incidence matrix of a graph is as shown in Fig 2 Obtain the corresponding graph.
IMAGE
7 M
3 (d) Prepare the circuit graph, graph tree and hence cut set matrix for circuit shown in figure 3.
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7 M

4 (a) Using Nodal Analysis find Vo in the circuit of figure 4
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7 M
4 (b) Find Vo in the circuit of figure 5 using principle of superposition.
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7 M
4 (c) Using loop Analysis find Vo in the circuit of figure 6.
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7 M
4 (d) Determine the impedance seen by the source in the circuit in Fig 7.
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7 M

5 (a) Use the differential equation approach to find i(t) for t > 0 in the circuit in Fig. 8 and plot the response including the time interval just prior to opening the switch.
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7 M
5 (b) Explain the dual network and concept of duality with suitable Example.
7 M
5 (c) Discuss concept of poles and zeros in a network function.
7 M
5 (d) Discuss substitution theorem and steps for solution of a network using this theorem.
7 M



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