In a series \( L R \) circuit, power of \( 400 \mathrm{~W} \) is di...

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In a series \( L R \) circuit, power of \( 400 \mathrm{~W} \) is dissipated
\( \mathrm{P} \)
from a source of \( 250 \mathrm{~V}, 50 \mathrm{~Hz} \). The power factor of
W
the circuit is 0.8 . In order to bring the power factor to unity, a capacitor of value \( C \) is added in series to the \( L \) and \( R \). Taking the value of \( C \) as \( \left(\frac{n}{3 \pi}\right) \mu \mathrm{F} \), then value of \( n \) is
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