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INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1(a) Using source transformation find current through RL in the circuit shown in Fig. Q1(a).
6 M
1(a) Using source transformation find current through RL in the circuit shown in Fig. Q1(a).
6 M
1(a) Using source transformation find current through RL in the circuit shown in Fig. Q1(a).
6 M
1(b) Using mesh current method find current through 10Ω resistor in the circuit shown in Fig. Q1(b).
7 M
1(b) Using mesh current method find current through 10Ω resistor in the circuit shown in Fig. Q1(b).
7 M
1(b) Using mesh current method find current through 10Ω resistor in the circuit shown in Fig. Q1(b).
7 M
1(c) Find all the nodal voltages in the circuit shown in Fig. Q1(c).
:!mage
7 M
1(c) Find all the nodal voltages in the circuit shown in Fig. Q1(c).
:!mage
7 M
1(c) Find all the nodal voltages in the circuit shown in Fig Q1(c).
:!mage
7 M

2(a) With neat illustrations, distinguish between
i) Oriented and Non-oriented graphs
ii) Connected and un-connected graphs
iii) Tree and co-tree.
6 M
With neat illustration, distinguish between
2(a)(i) Oriented and Non-oriented graphs
2 M
With neat illustration, distinguish between
2(a)(i) Oriented and Non-oriented graphs
2 M
2(a)(ii) Connected and non-connected graphs
2 M
2(a)(ii) Connected and non-connected graphs
2 M
2(a)(iii) Tree and co-tree.
2 M
2(a)(iii) Tree and co-tree.
2 M
2(b) For the network shown in Fig. Q2(b), draw the oriented graph. By selecting braches 4, 5 and 6 as twigs, write down tie-set schedule. Using this tie-set schedule, find all the branch currents and branch voltages.
:!mage
14 M
2(b) For the network shown in Fig. Q2(b), draw the oriented graph. By selecting braches 4, 5 and 6 as twigs, write down tie-set schedule. Using this tie-set schedule, find all the branch currents and branch voltages.
:!mage
14 M
2(b) For the network shown in Fig. Q2(b), draw the oriented graph. By selecting branches 4, 5 and 6 as twigs, write down tie-set schedule. Using this tie-set schedule, find all the branch currents and branch voltages.
:!mage
14 M

3(a) State and illustrate superposition theorem.
5 M
3(a) State and illustrate superposition theorem.
5 M
3(a) State and illustrate superposition theorem.
5 M
3(b) Using superposition theorem, find value of i in the circuit shown in Fig. Q3(b).
8 M
3(b) Using superposition theorem, find value of i in the circuit shown in Fig. Q3(b).
8 M
3(b) Using superposition theorem, find value of i in the circuit shown in Fig.Q3(b).
8 M
3(c) Find the value of Vx in the circuit shown in Fig. Q3(c). Verify it using Reciprocity theorem.
:!mage
7 M
3(c) Find the value of Vx in the circuit shown in Fig. Q3(c). Verify it using Reciprocity theorem.
:!mage
7 M
3(c) Find the value of Vx in the circuit shown in Fig. Q3(c). Verify it using Reciprocity theorem.
:!mage
7 M

4(a) Show that the power delivered to load, when the load impedance consists of variable resistance and variable reactance is maximum when the load impedance (ZL) is equal to complex conjugate of source impedance (Zg.
10 M
4(a) Show that the power delivered to load, when the load impedance consists of variable resistance and variable reactance is maximum when the load impedance (ZL) is equal to complex conjugate of source impedance (Zg.
10 M
4(a) Show that the power delivered to load, when the load impedance consists of variable resistance and variable reactance is maximum when the load impedance (ZL) is equal to complex conjugate of source impedance (Zg).
10 M
4(b) Obtain Thevenin's equivalent network of the circuit shown in Fig. Q4(b) and thereby find current through 5Ω resistor connected between terminals A and B.
:!mage
10 M
4(b) Obtain Thevenin's equivalent network of the circuit shown in Fig. Q4(b) and thereby find current through 5Ω resistor connected between terminals A and B.
:!mage
10 M
4(b) Obtain Thevenin's equivalent network of the circuit shown in Fig. Q4(b) and thereby find current through 5Ω resistor connected between terminals A and B.
:!mage
10 M

5(a) With respect to series resonant circuit, define resonant frequency (fr) and half power frequencies (f1 and f2). Also show that the resonant frequency is equal to the geometric mean of half power frequencies.
10 M
5(a) With respect to series resonant circuit, define resonant frequency (fr) and half power frequencies (f1 and f2). Also show that the resonant frequency is equal to the geometric mean of half power frequencies.
10 M
5(a) With respect to series resonant circuit, define resonant frequency (fr and half power frequencies (f1 and f2). Also show that the resonant frequency is equal to the geometric mean of half power frequencies.
10 M
5(b) A series circuit is energized by a constant voltage and constant frequency supply. Resonance takes place due to variation of inductance and the supply frequency is 300Hz. The capacitance in the circuit is 10μF. Determine the value of resistance in the circuit if the quality factor is 5. Also find the value of the inductance at half power frequencies.
10 M
5(b) A series circuit is energized by a constant voltage and constant frequency supply. Resonance takes place due to variation of inductance and the supply frequency is 300Hz. The capacitance in the circuit is 10μF. Determine the value of resistance in the circuit if the quality factor is 5. Also find the value of the inductance at half power frequencies.
10 M
5(b) A series circuit is energized by a voltage and constant voltage and constant frequency supply. Resonance takes place due to variation of inductance and the supply frequency is 300Hz. The capacitance in the circuit is 10μF. Determine the value of resistance in the circuit if the quality factor is 5. Also find the value of the inductance at half power frequencies.
10 M

6(a) In the circuit shown in Fig. Q6(a), the switch K is changed from position A to B t = 0. After having reached steady state in position A. $$\text{Find i},\dfrac{\mathrm{d} i}{\mathrm{d} i},\dfrac{\mathrm{d} ^2 i}{\mathrm{d} t^3}\ \text{and}\ \dfrac{\mathrm{d} ^3 t}{\mathrm{d} t^3}\ \text{at }t=0^+.$$
10 M
6(a) In the circuit shown in Fig. Q6(a), the switch K is changed from position A to B t = 0. After having reached steady state in position A. $$\text{Find i},\dfrac{\mathrm{d} i}{\mathrm{d} i},\dfrac{\mathrm{d} ^2 i}{\mathrm{d} t^3}\ \text{and}\ \dfrac{\mathrm{d} ^3 t}{\mathrm{d} t^3}\ \text{at }t=0^+.$$
10 M
6(a) In the circuit shown in Fig. Q6(a), the switch K is changed fro position A to B t = 0. After having reached steady state in position A. $\text{Find i,}\frac{di}{di},\frac{d^2 i}{dt^2}\text{and}\frac{d^3 i}{dt^3}\text{at}\ t=0^{+}.$
10 M
6(b) In the circuit shown in Fig. Q6(b) switch K is opened at t = 0. $$\text{Find i},\dfrac{\mathrm{d} i}{\mathrm{d} t},V_3\ \text{and}\ \dfrac{\mathrm{d} V_3}{\mathrm{d} t}\ \text{at }t=0^+.$$
:!mage
10 M
6(b) In the circuit shown in Fig. Q6(b) switch K is opened at t = 0. $$\text{Find i},\dfrac{\mathrm{d} i}{\mathrm{d} t},V_3\ \text{and}\ \dfrac{\mathrm{d} V_3}{\mathrm{d} t}\ \text{at }t=0^+.$$
:!mage
10 M
6(b) In the circuit shown in Fig. Q6(b) switch K is opened at t = 0. $\text{Find i,}\frac{di}{dt},V_3 \ \text{and}\ \frac{dV_3}{dt}\text{at}\ t=0^{+}.$
:!mage
10 M

7(a) Using convolution theorem find the inverse Laplace transform of following functions. $i)F(s)=\dfrac{1}{(s-a)^2}\ \ \text{and}\ \ ii)F(s)=\dfrac{1}{s(s+1)}$
10 M
7(a) Using convolution theorem find the inverse Laplace transform of following functions. $i)F(s)=\dfrac{1}{(s-a)^2}\ \ \text{and}\ \ ii)F(s)=\dfrac{1}{s(s+1)}$
10 M
7(a) Using convolution theorem find the inverse Laplace transform of following functions $i)F(s)=\frac{1}{(s-a)^2}\ \text{and}\ \ ii)F(s)=\frac{1}{s(s+1)}$
10 M
7(b) Obtain the Laplace transform of the triangular waveform shown in Fig Q7(b).
:!mage
10 M
7(b) Obtain the Laplace transform of the triangular waveform shown in Fig Q7(b).
:!mage
10 M
7(b) Obtain the Laplace transform of the triangular waveform shown in Fig Q7(b).
:!mage
10 M

8(a) Define h and T parameters of two - port network. Also, derive the expressions for h parameters in terms of T parameters.
10 M
8(a) Define h and T parameters of two - port network. Also, derive the expressions for h parameters in terms of T parameters.
10 M
8(a) Define h and T parameters of a two - port network. Also, derive the expressions for h parameters in terms of T parameters.
10 M
8(b) Find Y and Z parameters for the network shown in Fig. Q8(b).
:!mage
10 M
8(b) Find Y and Z parameters for the network shown in Fig. Q8(b).
:!mage
10 M
8(b) Find Y and Z parameters for the network in Fig. Q8(b).
:!mage
10 M

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