The capacitive reactance of a capacitor ' C ' is X . Both, the frequency of a.c. supply and capacitance of the above capacitor are doubled. The new capacitive reactance will be

Step-by-step solution

Given, X _ C = X 1 2 fC = X New Capacitance C =2 C and new frequency f ^ =2 f aligned New capacitive reactance X _ C ^ & = 1 2 (2 f )(2 C ) & = 1 (2 )(4 fC ) & = 1 4 X _ C & = X 4 aligned