This set of Network Theory Multiple Choice Questions & Answers (MCQs) focuses on “Problems of Parallel Resonance Involving Quality Factor”.

1. For the parallel resonant circuit given below, the value of the inductive and capacitive reactance is _________

a) X_{L} = 654.289 Ω; X_{C} = 458.216 Ω

b) X_{L} = 985.457 Ω; X_{C} = 875.245 Ω

c) X_{L} = 785.394 Ω; X_{C} = 785.417 Ω

d) X_{L} = 125.354 Ω; X_{C} = 657.215 Ω

2. For the parallel resonant circuit given below, the current through the capacitor and inductor are _________

a) I_{C} = 10.892 mA; I_{L} = 12.732 mA

b) I_{C} = 12.732 mA; I_{L} = 10.892 mA

c) I_{C} = 10.892 mA; I_{L} = 10.892 mA

d) I_{C} = 12.732 mA; I_{L} = 12.732 mA

3. For the parallel resonant circuit shown below, the value of the resonant frequency is _________

a) 1.25 MHz

b) 2.5 MHz

c) 5 MHz

d) 1.5 MHz

4. For the parallel resonant circuit given below, the value of the equivalent impedance of the circuit is ________

a) 56.48 kΩ

b) 78.58 kΩ

c) 89.12 kΩ

d) 26.35 kΩ

5. For the parallel resonant circuit given below, the cut-off frequencies are ____________

a) ∆f_{1} = 2.389 MHz; ∆f_{2} = 441.124 MHz

b) ∆f_{1} = 1.256 MHz; ∆f_{2} = 1.244 MHz

c) ∆f_{1} = 5.658 MHz; ∆f_{2} = 6.282 MHz

d) ∆f_{1} = 3.656 MHz; ∆f_{2} = 8.596 MHz

6. For the series resonant circuit given below, the value of the inductive and capacitive reactance is _________

a) X_{L} = 5.826 kΩ; X_{C} = 5.826 kΩ

b) X_{L} = 2.168 kΩ; X_{C} = 2.168 kΩ

c) X_{L} = 6.282 kΩ; X_{C} = 6.282 kΩ

d) X_{L} = 10.682 kΩ; X_{C} = 10.682 kΩ

7. For the parallel resonant circuit, the bandwidth of the circuit is ____________

a) ±6.25 kHz

b) ±8.56 kHz

c) ±10.35 kHz

d) ±6.37 kHz

8. For the series resonant circuit shown below, the value of the resonant frequency is _________

a) 10.262 kHz

b) 44.631 kHz

c) 50.288 kHz

d) 73.412 kHz

9. For the series resonant circuit given below, the value of the equivalent impedance of the circuit is ________

a) 55 Ω

b) 47 Ω

c) 64 Ω

d) 10 Ω

10. For the series circuit given below, the value of the voltage across the capacitor and inductor are _____________

a) V_{C} = 16.306 V; V_{L} = 16.306 V

b) V_{C} = 11.268 V; V_{L} = 11.268 V

c) V_{C} = 16.306 V; V_{L} = 16.306 V

d) V_{C} = 14.441 V; V_{L} = 14.441 V

11. For a parallel RLC circuit, the incorrect statement among the following is _____________

a) The bandwidth of the circuit decreases if R is increased

b) The bandwidth of the circuit remains same if L is increased

c) At resonance, input impedance is a real quantity

d) At resonance, the magnitude of input impedance attains its minimum value

12. For the series resonant circuit given below, the value of the total current flowing through the circuit is ____________

a) 7.521 mA

b) 6.327 mA

c) 2.168 mA

d) 9.136 mA

13. For the series resonant circuit given below, the value of the quality factor is ___________

a) 35.156

b) 56.118

c) 50.294

d) 46.128

14. 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

15. For the circuit given below, the nature of the circuit is ____________

a) Inductive

b) Capacitive

c) Resistive

d) Both inductive as well as capacitive