Solve any one question from Q1 and Q2
1 (a)
For the network shown below, find the current through the 10 Ω resistor using Thevenin's theorem.
6 M
1 (b)
A reduced incidence matrix of a graph is given by: \[ [A]= \begin{bmatrix}
1 &1 &0 &0 &0 &1 \\0
&-1 &1 &-1 &0 &0 \\-1
&0 &-1 &0 &-1 &0
\end{bmatrix} \] Obtain the number of possible trees.
6 M
2 (a)
Find the Norton's equivalent circuit across a-b for the network shown:
6 M
2 (b)
Explain the following terms with example:
i) Directed graph
ii) Incidence Matrix
iii) Fundamental Tie-set matrix.
i) Directed graph
ii) Incidence Matrix
iii) Fundamental Tie-set matrix.
6 M
Solve any one question from Q3 and Q4
3 (a)
For the network shown, initially switch is kept open for a long time and closed at t=0. Find expression for VC(t).
6 M
3 (b)
Define figure of merit. Prove that the bandwidth of a series resonant circuit is given by: \[ BW= (f_2 - f_1) = \dfrac {R}{2πL} \]
6 M
4 (a)
Derive the expression for current i(t) for the series RL circuit shown below.
6 M
4 (b)
For the network shown, determine:
i) Resonance frequency
ii) Quality factor
iii) Half power frequencies
i) Resonance frequency
ii) Quality factor
iii) Half power frequencies
6 M
Solve any one question from Q5 and Q6
5 (a)
Sketch the reactance curves for a constant K-T section HPF. Also obtain the expression for cut-off frequency.
7 M
5 (b)
Derive expression for Z0T in terms of open and short circuit impedances.
6 M
6 (a)
What are low pass filter? Derive expression for the cut-off frequency of prototype low pass filter in terms of L and C.
7 M
6 (b)
Define decibel and neper units. How are they related to each other? Derive the expression for the same.
6 M
Solve any one question from Q7 and Q8
7 (a)
For the network shown, derive the open-circuit impedance parameters and draw its equivalent circuit.
7 M
7 (b)
Define Y-parameters and draw its equivalent circuit.
6 M
8 (a)
Determine the voltage transfer function \( \dfrac {v_2}{v_1} \) for the network shown below.
7 M
8 (b)
Find out the driving point impedance function and voltage ratio transfer function for the given two port N/W.
6 M
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