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Question

A coil of inductive reactance 31Ω has a resistance of 8Ω. It is placed in series with a condenser of capacitive reactance 25Ω. The combination is connected to an a.c.. source of 110 volts. The power factor of the circuit is.


A

0.80

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B

0.33

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C

0.56

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D

0.64

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Solution

The correct option is A

0.80


Step1: Given data.

Inductive reactance, XL=31Ω

Resistance, R=8Ω

Capacitive reactance, XC=25Ω

Step2: Finding impedance of the circuit.

We know that,

Z=R2+XC-XL2

Where, Z is the impedance of the circuit.

Since,

Z=82+25-312

Z=10Ω ….i

Step3: Finding power factor of the circuit.

Also, we know that.

Power factor =cosϕ=RZ=810=0.80

Hence, option A is correct.


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