# Advanced Problems Involving Complex Circuit Diagram-1 MCQ’s

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 V1 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 A1, A2, A3 parallel to one another. The 1st Ammeter is in series with a resistance, the 2nd Ammeter is in series with a capacitor and the circuit is excited by a voltage V. If A1 and A3 read 5 and 13 A respectively, reading of A2 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 = (L1 + L2 + L3) didt
b) V = (L1 – L2 – L3 – M13) didt
c) V = (L1 + L2 + L3 + 2M12 – 2M23 – 2M13) didt
d) V = (L1 + L2 + L3 – 2M12 + 2M23 + 2M13) 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 V1 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 VL and VC are twice that of VK. 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 VAB 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, R1 = R2 = R3 = 1 Ω, L1 = L2 = L3 = 1 H, C1 = C2 = 1 F. The current through R3 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, R1 = R2 = R3 = 1 Ω, L1 = L2 = L3 = 1 H, C1 = C2 = 1 F. The current through the voltage source V is _________

a) 1 A
b) 3 A
c) 2 A
d) 4 A