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The rms current in an AC circuit is 2 A. If the wattless current be √3 A,

The rms current in an AC circuit is 2 A. If the wattless current be √3 A, what is the power factor of the circuit?

Options

(a) (1/2)
(b) (1/3)
(c) 1/√3
(d) 1/√2

Correct Answer:

(1/2)

Explanation:

We know that, Iwʟ = I(rms) sin ɸ

⇒ √3 = 2 sin ɸ or, sin ɸ = √3 / 2 ⇒ ɸ = 60°

So, power factor = cos ɸ = cos 60° = 1 / 2

JC2012
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