If the frequency of the AC voltage across a capacitor is doubled, the capacitive reactance of that capacitor
A) becomes zero.
B) increases to twice its original value.
C) increases to 4 times its original value.
D) decreases to one-fourth its original value.
E) decreases to one-half its original value.

Question

Quizplus · Accepted Answer

The capacitive reactance (Xc) of a capacitor is inversely proportional to the frequency (f) of the AC voltage across it, as given by the formula Xc = 1/(2πfC), where C is the capacitance. Therefore, if the frequency is doubled, the capacitive reactance decreases to one-half its original value.

If the Frequency of the AC Voltage Across a Capacitor