Answer any one question from Q1 and Q2
1 (a)
Obtain Thevenin and Norton equivalent circuits for the network shown in fig. 1
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1 (b)
For the graph and tree given in Fig. 2. find complete incidence matrix, tieset matrix and F-cutset matrix:
6 M
2 (a)
For the network shown in Fig. 3, determine the current I2 using superposition theorem.
6 M
2 (b)
For the given incidence matrix, draw oriented graph and determine number of possible trees. \[ A=\begin{bmatrix}
-1&\ 1 &\ 1 &\ 0 &\ 0 &\ 0 \\ \ 0
&-1 &\ 0&-1 &\ 1 & \ 0 \\ \ 0
&\ 0 &-1 &\ 1 &\ 0 &\ 1
\end{bmatrix} \]
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Answer any one question from Q3 and Q4
3 (a)
Find the expression for Vc(t) in the network shown in Fig .4.
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3 (b)
A series resonant circuit consists of R=10Ω, L=100 mH and C=10 nF. Find resonant frequency ωr, Fr, quality factor Qr at resonant frequency, bandwidth. Also find current flowing through circuit at resonance if the applied voltage is 100V.
6 M
4 (a)
For the network shown in Fig. 5, obtain the expression for iL(t).
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4 (b)
A parallel resonant circuit has a coil of 100 μH with Q factor of 100 and is resonated at 1 MHz. Find:
i) Capacitance
ii)o Resistance of coil
iii) Bandwidth
iv) Impedance at parallel resonance.
i) Capacitance
ii)o Resistance of coil
iii) Bandwidth
iv) Impedance at parallel resonance.
6 M
Answer any one question from Q5 and Q6
5 (a)
A Pi-section constant K filter consists of series arm inductance of 20 mH and two shunt arm capacitors of 0.1 μF each. Calculate cut-off frequency, attenuation at 1.5 kHz. Also find nominal impedance Zπ at f=0 and f=fc.
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5 (b)
For a T-section symmetrical network derive the expression for Zoc, Zsc and characteristic impedance Zo.
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6 (a)
For the system with 500 Ω resistance design T and Pi attenuators to have 100 dB attenuation. Also draw T and Pi attenuators showing the designed component values.
7 M
6 (b)
Draw the T section and Pi section contant K Band pass filter circuits and write equations for components in series arm and shunt arm
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Answer any one question from Q7 and Q8
7 (a)
Explain different network functions for one port and two port networks.
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7 (b)
Determine Z parameters for the network shown in Fig 6.
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8 (a)
Determine the impedance function Z(s) for the network shown Fig. 7. Also draw its pole zero plot.
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8 (b)
Determine Y parameters of the network shown in Fig. 8
6 M
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