A circuit element \( X \) when connected to an a.c. supply of peak voltage \( 100\,V \) gives a peak current of \( 5\,A \) which is in phase with the voltage. A second element \( Y \) when connected to the same a.c. supply also gives the same value of peak current which lags behind the voltage by \( \dfrac{\pi}{2} \). If \( X \) and \( Y \) are connected in series to the same supply, what will be the rms value of the current in ampere?
