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
2√5
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Solution
The correct option is D2√5 Given:
XC=2XL and R=XL
∴XC=2XL=2R
The impedance of the circuit is given by:
Z=1√1R2+(1XL−1XC)2
=1√1R2+(1R−12R)2=2R√5
Therefore, the power factor of the circuit is given by,