This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems Involving Complex Circuit Diagram-1″.

1. An infinite ladder is constructed with 1 Ω and 2 Ω resistor shown below. The current I flowing through the circuit is ___________

a) 8.18 A

b) 0 A

c) 9 A

d) 10 A

2. In the circuit given below, the phase angle of the current I with respect to the voltage V_{1} is __________

a) 0°

b) +45°

c) -45°

d) -90°

3. The current wave shape is in the form of a square terminating at t = 4sec. The voltage across the element increases linearly till t = 4 sec and then becomes constant. The element is ____________

a) Resistance

b) Inductance

c) Capacitance

d) Semi-conductor

4. Consider a circuit having 3 identical Ammeters A_{1}, A_{2}, A_{3} parallel to one another. The 1^{st} Ammeter is in series with a resistance, the 2^{nd} Ammeter is in series with a capacitor and the circuit is excited by a voltage V. If A_{1} and A_{3} read 5 and 13 A respectively, reading of A_{2} will be?

a) 8 A

b) 13 A

c) 18 A

d) 12 A

5. For the three coupled coils shown in figure, KVL equation is ____________

a) V = (L_{1} + L_{2} + L_{3}) didt

b) V = (L_{1} – L_{2} – L_{3} – M_{13}) didt

c) V = (L_{1} + L_{2} + L_{3} + 2M_{12} – 2M_{23} – 2M_{13}) didt

d) V = (L_{1} + L_{2} + L_{3} – 2M_{12} + 2M_{23} + 2M_{13}) didt

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

a) 10 Ω

b) 18 Ω

c) 24 Ω

d) 12 Ω

7. In the circuit given below, the value of V_{1} is __________

a) 32.2 V

b) -25.23 V

c) 29.25 V

d) -29.25 V

8. A circuit excited by voltage V has a resistance R which is in series with an inductor and capacitor, which are connected in parallel. The voltage across the resistor at the resonant frequency is ___________

a) 0

b) V2

c) V3

d) V

9. The current flowing through the resistance R in the circuit in the figure has the form 2 cos 4t, where R is ____________

a) (0.18 + j0.72)

b) (0.46 + j1.90)

c) – (0.18 + j1.90)

d) (0.23 – 0.35 j)

10. In the circuit given below, the magnitudes of V_{L} and V_{C} are twice that of V_{K}. Calculate the inductance of the coil, given that f = 50.50 Hz.

a) 6.41 mH

b) 5.30 mH

c) 3.18 mH

d) 2.31 mH

11. In the circuit given below, the capacitor is initially having a charge of 10 C. 1 second after the switch is closed, the current in the circuit is ________

a) 14.7 A

b) 18.5 A

c) 40.0 A

d) 50.0 A

12. In the circuit given below, the voltage V_{AB} is _________

a) 6 V

b) 25 V

c) 10 V

d) 40 V

13. In the circuit given below, the current source is 1 A, voltage source is 5 V, R_{1} = R_{2} = R_{3} = 1 Ω, L_{1} = L_{2} = L_{3} = 1 H, C_{1} = C_{2} = 1 F. The current through R_{3} is _________

a) 1 A

b) 5 A

c) 6 A

d) 8 A

14. A circuit is given in the figure below. The Norton equivalent as viewed from terminals x and x’ is ___________

a) 6 Ω and 1.333 A

b) 6 Ω and 0.833 A

c) 32 Ω and 0.156 A

d) 32 Ω and 0.25 A

15. In the circuit given below, the current source is 1 A, voltage source is 5 V, R_{1} = R_{2} = R_{3} = 1 Ω, L_{1} = L_{2} = L_{3} = 1 H, C_{1} = C_{2} = 1 F. The current through the voltage source V is _________

a) 1 A

b) 3 A

c) 2 A

d) 4 A