MU Electronics Engineering (Semester 3)
Circuit Theory
May 2016
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) test for following polynomial using continued fraction expansion only P(s) = s5 + 12s4 + 45s3 + 60s2 + 44s + 48
5 M
1(b) Obtain transmission parameters (ABCD) in terms of z-parameters.
5 M
1(c) List the types of damping in a series R-L-C circuit and mention the condition for each damping.
5 M
1(d) Obtain S-domain (Laplace Transform) equivalent circuit diagram of an inductor and capacitor with initial condition.
5 M

2(a) Calculate voltage across the resistor 6Ω using source shifting technique.

10 M
2(b) Compare and obtain Foster-I and Foster-II form using example of RC circuit $$Z(s)=\dfrac{(s+1)(s+6)}{s(s+4)(s+8)}$$
10 M

3(a) Design a short circuit shunt stub match for ZL=450 ' 600j(&Omega
10 M
3(b) In the circuit shown determine current I1 and I2 when switch is closed at t=0

10 M

4(a) Determine Y-parameter using interconnection of two port networks

10 M
4(b) Check for positive real function test $F(s)=\dfrac{2s^2+2s+1}{s^3+2s^2+s+2}$
5 M
4(c) Compare Cauer-I and Cauer-II form of LC network $Z(s)=\dfrac{2(s^2+1)(s^2+4)}{s(s^2+2)}$
5 M

5(a) Obtain i(t) for t>0
where r(t) is a ramp signal

10 M
5(b) Derive an expression for charateristics euqation of a transmission line. Also obtain 'α', 'β' and γ' of the line.
10 M

6(a) Find Thevenin's equivalent of following n/w

8 M
6(b) Explain various types of filters.
4 M
6(c) Obtain Z11 (s), Z21 (s), G21 (s) for the ladders n/w.

8 M

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