A resistor and a capacitor are connected to an ac supply of \( 200 ...

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A resistor and a capacitor are connected to an ac supply of \( 200 \mathrm{~V}, 50 \mathrm{~Hz} \) in series. The current in the
\( \mathrm{P} \) circuit is \( 2 \mathrm{~A} \). If the power consumed in the circuit is

W \( 100 \mathrm{~W} \) then the capacitance in the circuit is:
(1) \( \frac{100}{100 \pi} F \)
(2) \( \frac{25}{100 \pi} F \)
(3) \( \frac{\sqrt{125 \times 75}}{100 \pi} F \)
(4) \( \frac{1}{100 \pi \sqrt{125 \times 75}} F \)
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