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Question

In a series LCR circuit, the inductive reactance (XL) is 10Ωand the capacitive reactance (XC) is 4Ω. The resistance (R) in the circuit is 6Ω. Find the power factor of the circuit.


A

12

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B

32

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C

12

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D

122

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Solution

The correct option is A

12


Step 1: Given

Inductive reactance, XL=10Ω

Capacitive reactance, XC=4Ω

Resistance, R=6Ω

Step 2: Draw the circuit

The circuit is:

Step 3: Determine the impedance

The impedance is given by,

Z=R2+(XL-Xc)2=62+(10-4)2=62

Step 4: Determine the power factor

The power factor is given by,

cosφ=RZ=662=12

Therefore, option A is the correct option.


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