STUPIDSID
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 ZL, 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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