# Advanced Problems Involving Complex Circuit Diagram-2 MCQ’s

This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Advanced Problems Involving Complex Circuit Diagram-2″.

1. In a parallel RL circuit, 12 A current enters into the resistor R and 16 A current enters into the Inductor L. The total current I the sinusoidal source is ___________
a) 25 A
b) 4 A
c) 20 A
d) Cannot be determined

2. Consider a series RLC circuit having resistance = 1Ω, capacitance = 1 F, considering that the capacitor gets charged to 10 V. At t = 0 the switch is closed so that i = e-2t. When i = 0.37 A, the voltage across capacitor is _____________
a) 1 V
b) 6.7 V
c) 0.37 V
d) 0.185 V

3. In the circuit given below, the KVL for first loop is ___________

a) V (t) = R1i1 + L1 di1dt + M di2dt
b) V (t) = R1i1 – L1 di1dt – M di2dt
c) V (t) = R1i1 + L1 di1dt – M di2dt
d) V (t) = R1i1 – L1 di1dt + M di2dt

4. A waveform is of the form of a trapezium, which increases linearly with the linear slope till θ = π3, constant till θ = π2 and again linearly decreases to 0 till θ = π. The average value of this waveform is ______________
a) 2 V
b) 0 V
c) 4 V
d) 3 V

5. In the circuit given below, a dc circuit fed by a current source. With respect to terminals AB, Thevenin’s voltage and Thevenin’s resistance are ____________

a) VTH = 5 V, RTH = 0.75 Ω
b) VTH = 0.5 V, RTH = 0.75 Ω
c) VTH = 2.5 V, RTH = 1 Ω
d) VTH = 5 V, RTH = 1 Ω

6. A circuit consists of an excitation voltage VS, a resistor network and a resistor R. For different values of R, the values of V and I are as given, R = ∞, V = 5 volt; R = 0, I = 2.5 A; when R = 3 Ω, the value of V is __________
a) 1 V
b) 2 V
c) 3 V
d) 5 V

7. For a series RLC circuit excited by a unit step voltage, Vc is __________
a) 1 – e-t/RC
b) e-t/RC
c) et/RC
d) 1

8. In the circuit given below, the value of R is ____________

a) 12 Ω
b) 6 Ω
c) 3 Ω
d) 1.5 Ω

9. Three inductors each 30 mH are connected in delta. The value of inductance or each arm of equivalent star is _____________
a) 10 mH
b) 15 mH
c) 30 mH
d) 90 mH

10. In the circuit given below, the equivalent capacitance is _________________

a) 1.6 F
b) 3.1 F
c) 0.5 F
d) 4.6 F

11. In the circuit given below, the voltage across AB is _______________

a) 250 V
b) 150 V
c) 325 V
d) 100 V

12. In a series RLC circuit having resistance R = 2 Ω, and excited by voltage V = 1 V, the average power is 250 mW. The phase angle between voltage and current is ___________
a) 75°
b) 60°
c) 15°
d) 45°

13. In the circuit given below, the equivalent capacitance is ______________

a) 5.43 μF
b) 4.23 μF
c) 3.65 μF
d) 5.50 μF

14. The number of non-planar graph of independent loop equations is ______________

a) 8
b) 12
c) 3
d) 5

15. In the circuit given below, M = 20. The resonant frequency is _______________

a) 4.1 Hz
b) 41 Hz
c) 0.41 Hz
d) 0.041 Hz