The capacitive reactance of an RLC circuit is 64 $\Omega$.If the frequency is doubled,what is the new capacitive reactance?
A) 18 $\Omega$
B) 64 $\Omega$
C) 32 $\Omega$
D) 8.0 $\Omega$
E) 4.0 $\Omega$

Question

Quizplus · Accepted Answer

Capacitive reactance $X_C$ is inversely proportional to frequency $f$, given by $X_C = \frac{1}{2\pi fC}$. Doubling the frequency halves the capacitive reactance, so the new reactance is $32 \, \varOmega$.

The Capacitive Reactance of an RLC Circuit Is 64 Ω\OmegaΩ If the Frequency Is Doubled,what Is the New Capacitive Reactance

The Capacitive Reactance of an RLC Circuit Is 64 $\Omega$ If the Frequency Is Doubled,what Is the New Capacitive Reactance