Answer any one question from Q1 and Q2

1 (a)
Calculate the current I through 6Ω resistor by applying principle of superposition.

6 M

1 (b)
The reduced incidence matrix of an oriented graph is: \[A=\begin{bmatrix}
0 &-1 &1 &0 &0 \\0
&0 &-1 &-1 &-1 \\-1
&0 &0 &0 &1
\end{bmatrix} \] Draw the oriented graph. Also calculate the number of trees
possible for this graph.

6 M

2 (a)
Find the value of load impedance Z

_{L}, so that maximum power can be transferred to it in the circuit shown below. Draw Thevenin's equivalent circuit.

6 M

2 (b)
Write the incidence matrix, tieset matrix and f-cutset matrix for the graph of a network given below. Select tree {4, 5, 6}.

6 M

Answer any one question from Q3 and Q4

3 (a)
For the network shown below, find the current expression i.e. i(t) when the switch is changed from the position 1 to 2 at t = 0.

6 M

3 (b)
In a series RLC circuit, a maximum current of 0.1 A flows through the circuit when the capacitor is of 5 ?F with a fixed frequency and a voltage of 5 V. Determine the frequency at which the circuit resonates, the quality factor, the value of resistance and the bandwidth.

6 M

4 (a)
In the figure given below, the switch is closed at t = 0. Find:

\[ i, \dfrac {di}{dt} \ and \ \dfrac {d^2i}{dt^2} \ at \ t=o^+ \]

\[ i, \dfrac {di}{dt} \ and \ \dfrac {d^2i}{dt^2} \ at \ t=o^+ \]

6 M

4 (b)
Derive the expression for bandwidth of a series RLC resonance circuit.

6 M

Answer any one question from Q5 and Q6

5 (a)
Explain the following terms used in filter theory:

(i) Attenuation constant,

(ii) Phase constant, and

(iii) Characteristic impedance

(i) Attenuation constant,

(ii) Phase constant, and

(iii) Characteristic impedance

6 M

5 (b)
Write a short note on attenuators. Also derive the relation between decibel and Neper.

7 M

6 (a)
A π section filter network consists of a series arm inductor of 20 mH and two shunt-arm capacitors of 0.16 μF each. Calculate the cut-off frequency, attenuation and phase shift
at 15 kHz.

6 M

6 (b)
Design a T-section band-pass, constant K type filter with cut-
off frequency of 4 kHz and 10 kHz and nominal characteristic impedance of 500 Ω.

7 M

Answer any one question from Q7 and Q8

7 (a)
Find Y-parameters of the network shown below:

6 M

7 (b)
Explain the following:

i) Network functions for one and two port networks.

ii) Pole-zeros of network functions. Also state its significance.

i) Network functions for one and two port networks.

ii) Pole-zeros of network functions. Also state its significance.

7 M

8 (a)
Calculate the open-circuit impedance parameters for the network shown below and also check for symmetry and reciprocity of the network.

6 M

8 (b)
Determine the voltage transfer function \[ \dfrac {V_2}{V_1},\] for the network shown below.

7 M

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