An ac circuit has an inductor and a resistor of \( \mathrm{P} \) re...

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An ac circuit has an inductor and a resistor of
\( \mathrm{P} \)
resistance \( R \) in series, such that \( X_{L}=3 R \). Now, a
W
capacitor is added in series such that \( X_{c}=2 R \). The ratio of new power factor with the old power factor of the circuit is \( \sqrt{5}: x \). The value of \( x \) is
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