In a series LR circuit \( X_{L}=R \) and power factor of \( \mathrm{P} \) the circuit is \( P_{1...

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In a series LR circuit \( X_{L}=R \) and power factor of
\( \mathrm{P} \)
the circuit is \( P_{1} \). When capacitor with capacitance
W
\( C \) such that \( X_{L}=X_{C} \) is put in series, the power factor becomes \( P_{2} \). The ratio \( \frac{P_{1}}{P_{2}} \) is
(1) \( \frac{1}{2} \)
(2) \( \frac{1}{\sqrt{2}} \)
(3) \( \frac{\sqrt{3}}{\sqrt{2}} \)
(4) \( 2: 1 \)
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