An AC source of angular frequency is fed across a resistor R and a capacitor C in series. The current registered is I. If now the frequency of source is changed to /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.
At angular frequency , the current in RC circuit is given by
….(i)
Also, …(ii)
From equations (i) and (ii), we get