Voltage in Capacitive Circuit MCQ [Free PDF] – Objective Question Answer for Voltage in Capacitive Circuit Quiz

11. If in an alternating current circuit, capacitance C is connected to a supply of 200V,50Hz. The current in the circuit is 1.89 A. Find the capacitance C.

A. 30 µF
B. 20 µF
C. 10 µF
D. 15 µF

Answer: A

XC = V/I

= 200/1.89 = 106.1 Ω.

XC = 1/(2πfC).

Substituting the values we get C = 30 µF.

 

12. In an ac circuit, the resistance of 5 ohms is connected with a capacitor having capacitive reactance of 12 ohms. A supply of 260 V is connected to the circuit. Calculate the current in the circuit.

A. 40 A
B. 10 A
C. 20 A
D. 30 A

Answer: C

Z2 = R2+XC2

Substituting the values we get

Z2  = 52 + 122

Z2  = 169

Z = 13 Ω.

I = V/Z = 260/13 = 20 A.

 

13. In an ac circuit, the resistance of 5 ohms is connected with a capacitor having capacitive reactance of 12 ohms. A supply of 260 V is connected to the circuit. Calculate the voltage across resistance.

A. 300 V
B. 200 V
C. 240 V
D. 100 V

Answer: D

Z2 = R2+XC2

Substituting the values we get

Z2  = 52 + 122

Z2  = 169

Z = 13 Ω.

I = V/Z = 260/13 = 20 A.

VR = iR = 20 × 5 = 100 V.

 

14. In an ac circuit, resistance 5 ohm is connected with a capacitor having capacitive reactance 12 ohm. A supply of 260 V is connected to the circuit. Calculate the voltage across a capacitor.

A. 300 V
B. 200 V
C. 240 V
D. 100 V

Answer: C

Z2 = R2+XC2

Substituting the values we get

Z2  = 52 + 122

Z2  = 169

Z = 13 Ω.

I = V/Z = 260/13 = 20 A.

VC = iXC = 20 × 12 = 240 V.

 

15. Find the total voltage applied in a series RLC circuit when i = 3mA, VL = 30V, VC = 18V, and R = 1000 ohms.

A. 3.95V
B. 51V
C. 32.67V
D. 6.67V

Answer: B

Total voltage = VR+VL+VC.

VR = 1000 × 3 × 10-3 = 3V.

Therefore, total voltage = 30+18+3 = 51V.

 

16. In an RLC circuit, which of the following is always used as a vector reference?

A. Voltage
B. Resistance
C. Impedance
D. Current

Answer: A

In an RLC circuit, the voltage is always used as a reference and according to the phase of the voltage, the phase of the other parameters is decided.

 

17. In an RLC circuit, the power factor is always ____________

A. Positive
B. Negative
C. Depends on the circuit
D. Zero

Answer: C

In an RLC series circuit, the power factor depends on the number of resistors and inductors in the circuit, hence it depends on the circuit.

 

18. In an RLC series phasor, we start drawing the phasor from which quantity?

A. Voltage
B. Resistance
C. Impedance
D. Current

Answer: D

In an RLC series phasor diagram, we start drawing the phasor from the quantity which is common to all three components, that is the current.

 

19. What is the correct expression for the phase angle in an RLC series circuit?

A. φ = tan-1(XL-XC)/R
B. φ = tan-1 (XL+XC)/R
C. φ = tan(XL-XC)/R
D. φ = tan-1 (XL-XC)

Answer: A

From the impedance triangle, we get

tanφ = (XL-XC)/R.

Hence φ = tan-1 (XL-XC)/R.

 

20. When is tanφ positive?

A. When inductive reactance is less than the capacitive reactance
B. When inductive reactance is greater than the capacitive reactance
C. When inductive reactance is equal to capacitive reactance
D. When inductive reactance is zero

Answer: B

tanφ is positive when inductive reactance is greater than capacitive reactance because current will lag the voltage.

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