1 (a)
The node equations of a network are \[ \left [ \dfrac {1}{5}+ \dfrac {1}{2}j + \dfrac {1}{4} \right ]V_1 - \dfrac {1}{4}V_2 = \dfrac {50 \angle 06^\circ}{5} \ and \ -\dfrac {1}{4} V_1 + \left [ \dfrac {1}{4}- \dfrac {1}{2j}+ \dfrac {1}{2} \right ]v_2 = \dfrac {50 \angle 906^\circ}{2} \]

10 M

1 (b)
Find the current 1 in 28Ω resistor by mesh analysis in Fig. Q1 (b)

5 M

1 (c)
Using source transformation find power delivered by 50 V source in given network of Fig Q1 (c).

5 M

2 (a)
Define the following terms with respect to network topology and give example:

i) Oriented and unoriented graphs.

ii) Isomorphic graphs

iii) Fundamental cut set.

i) Oriented and unoriented graphs.

ii) Isomorphic graphs

iii) Fundamental cut set.

6 M

2 (b)
For the network shown in Fig Q2(b), write the tie set schedule selecting centre star as tree and find all the branch currents by solving equilibrium equations.

10 M

2 (c)
For the network shown in Fig Q2(c) draw the dual network.

4 M

3 (a)
State and prove superposition theorem.

6 M

3 (b)
Find i

_{8}and hence verify reciprocity theorem for the network in Fig Q3 (b).

8 M

3 (c)
Using Millman's theorem find I

_{L}through R_{L}for the network of Fig. Q3 (c).

6 M

4 (a)
State and prove Thevenin's theorem.

6 M

4 (b)
Find the value of load resistance when maximum power is transfered across it and also find the value of maximum power transferred for the network of Fig. Q4(b).

8 M

4 (c)
Find the current through 16Ω resistor using Norton's theorem in Fig. Q4(c).

6 M

5 (a)
Define the following terms i) Resonance

ii) Q-Factor

iii) Selectivity of series RIC circuit

iv) Bandwidth

ii) Q-Factor

iii) Selectivity of series RIC circuit

iv) Bandwidth

4 M

5 (b)
Prove that \[ f_0 = \sqrt{f_1, f_2} \] where f

_{1}and f_{2}are the two half power frequencies of a resonant circuits.
8 M

5 (c)
A series RLC circuit has R=4Ω, L=1mH and C=10 μF. Calculate Q factor, band width resonant frequency and the half power frequencies f

_{1}and f_{2}.
8 M

6 (a)
For the circuit shown in Fig Q6 (a), determine complete solution for current when switch K is closed at t=0. Applied voltage is y(t) which is given as \[ 100\cos \left (10^3 t + \dfrac {\pi}{2} \right ) \]

10 M

6 (b)
For the given circuit of Fig. Q 6(b) switch K is changed from position 1 to position 2 at t=0, the steady having been reached before switching. Find the value of\[ i, \dfrac {di}{dt} \ and \ \dfrac {d^2i}{dt^2} \] at t=0^- \]

10 M

7 (a)
State and prove initial value and final value theorem.

8 M

7 (b)
Obtain the Laplace transform of the saw tooth waveform shown in Fig. Q7(b).

8 M

7 (c)
Find the Laplace transform of (i) t (ii) Δ (t)

4 M

8 (a)
Obtain the relationship between h and y parameters of a two port network.

8 M

8 (b)
Determine the transmission parameters for the network shown in fig Q8 (b).

8 M

8 (c)
Define z parameter and draw the equivalent network in terms of z parameters.

4 M

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