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Question

If for the given circuit capacitive reactance is two times of inductive reactance, and resistance R is equal to inductive reactance then, the power factor of the circuit is,


A
1
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B
0
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C
12
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D
25
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Solution

The correct option is D 25
Given:

XC=2XL and R=XL

XC=2XL=2R

The impedance of the circuit is given by:

Z=11R2+(1XL1XC)2

=11R2+(1R12R)2=2R5

Therefore, the power factor of the circuit is given by,

cosϕ=ZR=2R5×1R=25

Hence, option (D) is correct.

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