MU Electronics Engineering (Semester 3)
Circuit Theory
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) Test for following polynomial using continued fraction expansion only P(s)=s6+2s5+3s4+4s3+3s2+2s+1
5 M
1 (b) Obtains domain equivalent model at inductor and capacitor with non-zero initial conditions.
5 M
1 (c) The paranelex of a transmission line are G=2.25 m Ω /km, R=65Ω/km, L=1.6mH/km, C=1 μF/km, find characteristics impedance and the propagation constant of the line at a frequency of 1 Khz.
5 M
1 (d) The pole-zero diagram of driving point impedance function is shown At d.c. input impedance is resistive and equal to 2 Ω. Determine value of R.L and C.

5 M

2 (a) Determine voltage Vx by Source shifting and Source transformation.

8 M
2 (b) Find i1(t), i2(t) and i3(t) at t=0

8 M
2 (c) Compare Foster form I and Foster Form II of an LC N/W \[ \z(s) = \dfrac {6s(s^2+4)}{(s^2+1)(s^2+64)} \]
4 M

3 (a) Design a short circuit shunt stub match for ZL=150-200j(Ω) for a line of z0=100Ω and frequency at f=20 MHz use Smith chart.
8 M
3 (b) Obtain Power associated with dependent voltage source by using Nodal analysis.

8 M
3 (c) Explain various types of filter's
4 M

4 (a) Obtain hybrid parameter of the inter connected network.

10 M
4 (b) Obtain v(t) for t?0 Use Laplace Transform method.

10 M

5 (a) Check for p.r.f. \[ a) \ F(s) = \dfrac {2s^2 + 2s+1}{s^3 + 2s^2 - s+2} \\ b) \ F(s) = \dfrac {s^2 +2s+1}{s^3 + 2s^2 + 2s +3} \]
8 M
5 (b) Find current flowing in both coils. If applied input voltage is v(t)=230 √2 sin [5000 t-30°]

8 M
5 (c) Obtain pole-zero plot for \[ \dfrac {I}{I_1} \]

4 M

6 (a) For the Network shown below determine RL for maximum power transfer and also determine PL.

8 M
6 (b) Find \[ i_1 (i), \ i_2(t) \dfrac {di_1 (t)}{dt}\ and \ \dfrac {di_1 (t)}{dt} \ and \ \dfrac {di_2 (t)}{dt} at t=0^+ \] if switch k is opened at t=0.

8 M
6 (c) Compare Cauer form I and Causer form II for RC N/W. \[ z(s) = \dfrac {4(s+1)(s+3)}{s(s+2)} \]
4 M



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