MU Electronics and Telecom Engineering (Semester 3)
Circuits and Transmission Lines
May 2012
Total marks: --
Total time: --
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Attempt any FOUR from the following
1 (a) How many trees are possible for the given graph :
5 M
1 (b) By mesh analysis determine the current through 2Ω resistor :
5 M
1 (c) Find the condition of reciprocity for Z parameters
5 M
1 (d) Find I, in the circuit if dependent voltage source is
(i) 2V2
(ii) 1.5V3
5 M

2 (a) Find the current through 5Ω resistor. :
10 M
2 (b) Find the Network function \[ \frac{V_1}{I_1}, \frac{V_2}{V_1} \ and \ \frac{V_2}{I_1} \]
10 M

3 (a) The switch is changed from position 1 to position 2 at t=0, Steady state having reached before switching. Find values of
\[ i, \frac{di}{dt} \ and \ \frac{d^2i}{dt^2} \ and \ t=0^+ \]
10 M
3 (b) In the network, the switch is opened at t=0. Find i(t).
10 M

4 (a) Write down the tieset matrix & obtain the network equilibrium equation in matrix form using KVL. Calculate loop currents:
10 M
4 (b) Determine Y & Z parameters for the network
10 M

5 (a) Synthesize the following function \[ Z\left(s \right)= \frac{6\left(s+2 \right)\left(s+4 \right)}{s\left(s+3 \right)}\]
Use Foster -II Method.
8 M
5 (b) A driving point R-L admittance function is given by-
\[ y_{RL}\left(s \right)= \frac{s^2+6s+8}{s^2+4s+3} \]
Use cauer - I Method
6 M
5 (c) Synthesize the following YRL(s) using cauer II from
\[ Y_{RL}\left(s \right)= \frac{\left(s+1 \right)\left(s+4 \right)}{s\left(3s+4 \right)} \]
6 M

6 (a) Find the current I in the network, using superposition theorem.
10 M
6 (b) (i) Check the given polynomial for Hurwitz
\[ P\left(s \right)=s^5+8s^4+24s^3+28s^2+23s+6 \]
5 M
6 (b) (ii) Test whether \[ F\left(s \right)= \frac{{5(s+1)}^2}{s^3+2s^2+2s+40} \] is positive real function.
5 M

7 (a) Find the current through 10Ω resistor (Thevenin's theorem).

(b) Determine the hybrid parameter of the network.
20 M

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