Answer any one question from Q1 and Q2

1 (a)
Obtain Thevenin and Norton equivalent circuits for the network shown in fig. 1

6 M

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 I

_{2}using superposition theorem.

6 M

2 (b)
For the given incidence matrix, draw oriented graph and determine number of possible trees. \[ A=\begin{bmatrix}
-1&\ 1 &\ 1 &\ 0 &\ 0 &\ 0 \\ \ 0
&-1 &\ 0&-1 &\ 1 & \ 0 \\ \ 0
&\ 0 &-1 &\ 1 &\ 0 &\ 1
\end{bmatrix} \]

6 M

Answer any one question from Q3 and Q4

3 (a)
Find the expression for V

_{c}(t) in the network shown in Fig .4.

6 M

3 (b)
A series resonant circuit consists of R=10Ω, L=100 mH and C=10 nF. Find resonant frequency ω

_{r}, F_{r}, quality factor Q_{r}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 i

_{L}(t).

6 M

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 Z

_{π}at f=0 and f=f_{c}.
7 M

5 (b)
For a T-section symmetrical network derive the expression for Z

_{oc}, Z_{sc}and characteristic impedance Z_{o}.
6 M

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

6 M

Answer any one question from Q7 and Q8

7 (a)
Explain different network functions for one port and two port networks.

7 M

7 (b)
Determine Z parameters for the network shown in Fig 6.

6 M

8 (a)
Determine the impedance function Z(s) for the network shown Fig. 7. Also draw its pole zero plot.

7 M

8 (b)
Determine Y parameters of the network shown in Fig. 8

6 M

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