An Ac source of angular frequency ω is fed across a resistor R and a capacitor C in series. The

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An Ac source of angular frequency &#969; is fed across a resistor R and a capacitor C in series. The current registered is I. If now the frequency of source is change to &#969;/3 (but maintaining the same voltage), the current in the circuit is found to be halved. Calculate the ratio of reactance to resistance at the original frequency &#969;

Accepted Answer

At angular frequency &#969; ,frequency current through RC circuit is given by Irms = ......(1) whena angular frequency is changed to , than the curent becomes, ...... (2) Dividing (i) by (ii) or 4 3R2 = &#8658;

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