A series LCR circuit driven by \( 300 \mathrm{~V} \) at a frequency...

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A series LCR circuit driven by \( 300 \mathrm{~V} \) at a frequency
\( \mathrm{P} \)
of \( 50 \mathrm{~Hz} \) contains a resistance \( R=3 \mathrm{k} \Omega \), an
W
inductor of inductive reactance \( X_{L}=250 \pi \Omega \) and an unknown capacitor. The value of capacitance to maximize the average power should be \( \left(\right. \) take \( \left.\pi^{2}=10\right) \)
(1) \( 400 \mu \mathrm{F} \)
(2) \( 4 \mu \mathrm{F} \)
(3) \( 40 \mu \mathrm{F} \)
(4) \( 25 \mu \mathrm{F} \)
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