An ac source of angular frequency ω 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 ω/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 ω.
At angular frequency ω, the current in RC circuit is given by
.........(1)
.......... (2)
From equation (i) and (ii) we get