The frequency in an AC series circuit is quadrupled.By what factor does this change the capacitive reactance?
A)1/4
B)1/16
C)4
D)16
E)1

Question

The frequency in an AC series circuit is quadrupled.By what factor does this change the capacitive reactance?
A)1/4
B)1/16
C)4
D)16
E)​1

Quizplus · Accepted Answer

The capacitive reactance (Xc) in an AC circuit is given by the formula Xc = 1/(2πfC), where f is the frequency and C is the capacitance. If the frequency is quadrupled, the new capacitive reactance becomes 1/(4*2πfC) = 1/4 * 1/(2πfC), which means the capacitive reactance is reduced to one-fourth of its original value.

The Frequency in an AC Series Circuit Is Quadrupled