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Identify the value of the power factor of a parallel resonant circuit at resonance.
Question

Identify the value of the power factor of a parallel resonant circuit at resonance.

A.

0.5

B.

1

C.

0.75

D.

0

Correct option is B

The power factor of a circuit is defined as:

Power Factor (PF)=cosϕ=Real Power(P)Apparent Power(S)\text{Power Factor (PF)} = \cos \phi = \frac{\text{Real Power} (P)}{\text{Apparent Power} (S)}

In a parallel resonant circuit at resonance:
The inductive reactance (XL) and capacitive reactance (XC) cancel each other, resulting in the circuit behaving as a purely resistive circuit.
In a resistive circuit, the phase angle (ϕ) between the voltage and current is , making the power factor:
PF=cos0∘=1

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