GTU Electrical and Electronic Engineering (Semester 3)
Circuits And Networks
December 2014
Total marks: --
Total time: --
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 Charge, Current, Potential difference, Lumped parameter, Time invariant, Branch and Tree.
7 M
1 (b) Calculate the node voltages for all the nodes shown in figure: 1 using nodal analysis.

7 M

2 (a) State and explain the Maximum Power Transfer Theorem. Drive the condition for maximum power transfer to the load for DC and AC circuit.
7 M
Answer any one question from Q2 (b) & Q2 (c)
2 (b) Draw the dual network shown in figure : 2.

7 M
2 (c) Explain the dot convention rule for the magnetically coupled Network shown in figure: 3. Also formulates KVL equations.

7 M

Answer any two question from Q3 (a), (b) & Q3 (c), (d)
3 (a) For the circuit shown in figure: 4 find the voltages and currents for all circuit elements using mesh analysis.

7 M
3 (b) State and explain (1) Norton's theorem (2) Milllman's theorem.
7 M
3 (c) Find current in 20 ohm resistance in the circuit shown in figure: 5 using superposition theorem.

7 M
3 (d) State Thevenin's theorem. Calculate current passing through 60Ω resistance in the circuit shown in figure: 6, using thevenin's theorem.

7 M

Answer any two question from Q4 (a), (b) & Q4 (c), (b)
4 (a) In the circuit shown in figure: 7, the switch "K" is closed at t=0. Assuming no initial current through inductor. Find current at t = 0.3 sec. Also find instant of time at which voltage across R equals voltage across L.

7 M
4 (b) Find laplace transform of f1(t)=sin ωt f2(t)=e-at cos ωt.
7 M
4 (c) In a circuit shown in figure: 8, the switch has been at position A for a long time and is moved to position B at t = 0. Obtain current i(t) at t > 0.

7 M
4 (d) Explain the concept of Poles and zeros and their significance.
7 M

Answer any two question from Q5(a), (b) & Q5 (c), (d)
5 (a) Find h-parameters of the circuit shown in figure

7 M
5 (b) Derive expression of ABCD parameters in terms of Z and Y parameters.
7 M
5 (c) Derive relationship between incidence matrix (A), fundamental cut-set matrix (Qf) and fundamental tie-set matrix (Bf).
7 M
5 (d) For the network shown in figure: 10 draw the oriented graph and Obtain (1) the incidence matrix (2) tieset matrix and (3) f-cutset matrix.

7 M



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