An ac source of angular frequency \( \omega \) is fed across a P resistor \( r \) and a capacito...
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0An ac source of angular frequency \( \omega \) is fed across a
P resistor \( r \) and a capacitor \( C \) in series. The current
W registered is \( I \). If now the frequency of source is changed to \( \omega / 3 \) (but maintaining the same voltage), the current in then circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency \( \omega \).
(1) \( \sqrt{\frac{3}{5}} \)
(2) \( \sqrt{\frac{2}{5}} \)
(3) \( \sqrt{\frac{1}{5}} \)
(4) \( \sqrt{\frac{4}{5}} \)
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