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An a.c. of frequency \( f \) is flowing in a circuit
\( \mathrm{P} \) containing only an ideal choke coil of inductance \( L \).

W If \( V_{0} \) and \( i_{0} \) represent peak values of the voltage and the current respectively, the average power given by the source to the choke coil is equal to
(1) \( \frac{1}{2} i_{0} V_{0} \)
(2) \( \frac{1}{2} i_{0}^{2}(2 \pi f L) \)
(3) Zero
(4) \( \frac{1}{2} V_{0}(2 \pi f L) \)
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