A capacitor of capacitance 100 F is connected to a 220 V , 50 Hz a.c. source. Let the capacitive reactance in the circuit be X_ C1 . If a 220 V d.c. source replaces the a.c. source in the circuit, the capacitive reactance becomes X_ C2 . The values of X_ C1 and X_ C2 respectively are:

Step-by-step solution

For an AC circuit, the capacitive reactance is given by: X_ C1 = 1 C = 1 2 f C Substituting the given values: X_ C1 = 1 2 50 ( 100 10⁻⁶ ) X_ C1 = 1 100 100 10⁻⁶ = 1 10^4 10⁻⁶ = 1 10⁻² = 100 , For a DC circuit, the frequency f = 0 . X_ C2 = 1 2 (0) C = (infinity) Thus, a capacitor blocks DC and offers infinite reactance. The correct values are 100 , and infinity. Answer: 100 , , infinity