An a.c. source of angular frequency ω is connected across a resistor R and a capacitor C in series. The current is observed as I. Now the frequency…

An a.c. source of angular frequency $\displaystyle \omega$ is connected across a resistor $\displaystyle R$ and a capacitor $\displaystyle C$ in series. The current is observed as $\displaystyle I$. Now the frequency of the source is changed to $\displaystyle \omega / 4$, (keeping the voltage unchanged) the current is found to be $\displaystyle I / 3$. The ratio of resistance to reactance at frequency $\displaystyle \omega$ is