In the circuit shown in Fig. \( \mathrm{R} \) is a pure resistor, \( \mathrm{L} \) is
\( \mathrm{P} \) an inductor of negligible resistance (as compared to
W. \( \mathrm{R}), \mathrm{S} \) is a \( 100 \mathrm{~V}, 50 \mathrm{~Hz} \) ac source of negligible resistance. With either key \( \mathrm{K}_{1} \) alone or \( \mathrm{K}_{2} \) alone closed, the current is \( I_{0} \). If the source is changed to \( 100 \mathrm{~V}, 100 \mathrm{~Hz} \) the current with \( \mathrm{K}_{1} \) alone closed and with \( \mathrm{K}_{2} \) alone closed will be, respectively,
(1) \( I_{0}, \frac{I_{0}}{2} \)
(2) \( I_{0}, 2 I_{0} \)
(3) \( 2 I_{0}, I_{0} \)
(4) \( 2 I_{0}, \frac{I_{0}}{2} \)
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