To light, a \( 50 \mathrm{~W}, 100 \mathrm{~V} \) lamp is to be connected, in P series with a ca...

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To light, a \( 50 \mathrm{~W}, 100 \mathrm{~V} \) lamp is to be connected, in
P
series with a capacitor of capacitance \( \frac{50}{\pi \sqrt{x}} \mu \mathrm{F} \) with
W
\( 200 \mathrm{~V}, 50 \mathrm{~Hz} \) AC source. The value of \( x \) will be
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