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Q.

The power factor of an AC circuit having resistance R and inductance L connected in series and an angular velocity $ω$ is

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a

$R / ωL$

b

$R / {(R^{2} + ω^{2} L^{2})}^{1 / 2}$

c

$ωL / R$

d

$R / {(R^{2} - ω^{2} L^{2})}^{1 / 2}$

answer is B.

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Detailed Solution

$cosϕ = \frac{R}{Z} = \frac{R}{{(R^{2} + ω^{2} L^{2})}^{1 / 2}}$

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The power factor of an AC circuit having resistance R and inductance L connected in series and an angular velocity ω is