This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems on Network Theory – 2″.

1. In the circuit given below, the resistance between terminals A and B is 7Ω, between terminals B and C is 12Ω and between terminals C and A is 10Ω. The remaining one terminal in each case is assumed to be open. Then the value of R_{A} and R_{B} are _________

a) R_{A} = 9 Ω and R_{B} = 7 Ω

b) R_{A} = 2.5 Ω and R_{B} = 4.5 Ω

c) R_{A} = 3 Ω and R_{B} = 3 Ω

d) R_{A} = 5 Ω and R_{B} = 1 Ω

2. Currents I_{1}, I_{2} and I_{3} meet at a junction in a circuit. All currents are marked as entering the node. If I_{1} = -6sin(ωt) mA and I_{2} = 8 cos(ωt) mA, the I_{3} is ________

a) 10 cos(ωt + 36.87) mA

b) 14 cos(ωt + 36.87) mA

c) -14 sin(ωt + 36.87) mA

d) -10 cos(ωt + 36.87) mA

3. In the circuit given below, the value of R is _________

a) 10 Ω

b) 18 Ω

c) 24 Ω

d) 12 Ω

4. Viewed from the terminals A and B the circuit given below can be reduced to an equivalent circuit with a single voltage source in series with a resistor with ________

a) 5 V source in series with 10 Ω resistor

b) 1 V source in series with 2.4 Ω resistor

c) 15 V source in series with 2.4 Ω resistor

d) 1 V source in series with 10 Ω resistor

5. In the circuit given below, the value of I_{X} using nodal analysis is _______

a) -2.5 A

b) 2.5 A

c) 5 A

d) -5 A

6. In the circuit given below, the voltage across the 18 Ω resistor is 90 V. The voltage across the combined circuit is _________

a) 125 V

b) 16 V

c) 24 V

d) 40 V

7. In the circuit given below, the voltage across the 2Ω resistor is ________

a) 3.41 V

b) -3.41 V

c) 3.8 V

d) -3.8 V

8. In the circuit given below, the values of V_{1} and V_{2} respectively are _________

a) 0 and 5V

b) 5 and 0 V

c) 5 and 5 V

d) 2.5 and 2.5 V

9. In the circuit given below, the value of R in the circuit, when the current is zero in the branch CD is _________

a) 10 Ω

b) 20 Ω

c) 30 Ω

d) 40 Ω

10. Consider a circuit having resistances 2 Ω and 2 Ω in series with an inductor of inductance 2 H. The circuit is excited by a voltage of 12 V. A switch S is placed across the first resistance. Battery has remained switched on for a long time. The current i(t) after switch is closed at t=0 is _____________

a) 6

b) 6 – 3e^{-t}

c) 6 + 3e^{-t}

d) 3 – 6e^{-t}

11. When a lead acid battery is being charged, the specific gravity of the electrolyte will ___________

a) Decrease

b) Increase

c) Either Increase or Decrease

d) Neither Increase nor Decrease

12. Two capacitors of 0.5 μF and 1.5 μF capacitance are connected in parallel across a 110 V dc battery. The charges across the two capacitors after getting charged is ___________

a) 55 μC each

b) 275 μC each

c) 55 μC and 275 μC respectively

d) 275 μC and 55 μC respectively

13. A resistance R is connected to a voltage source V having internal resistance R_{I}. A voltmeter of resistance R_{2} is used to measure the voltage across R. The reading of the voltmeter is _____________

a) VSR1R2R2R1+R1R+RR2

b) VsRR+Rs

c) VR1R2R1R2–R1R–RR2

d) VSRR2R1R2+R1R+RR2

14. A series RLC circuit has a resonant frequency of 550 Hz. The maximum voltage across C is likely to occur at a frequency of ___________

a) 1000 Hz

b) 2000 Hz

c) 1025 Hz

d) 500 Hz