A simple ac circuit is composed of a capacitor connected across the terminals of an ac power source. If the frequency of the source is doubled, what happens to the reactance of the capacitor?
A)It increases by a factor of 4.
B)It increases by a factor of 2.
C)It increases by a factor of $\sqrt { 2 }$
D)It decreases by a factor of 2.
E)It decreases by a factor of 4.

Question

Quizplus · Accepted Answer

The capacitive reactance $X_C$ is given by $X_C = \frac{1}{2\pi fC}$. If the frequency $f$ is doubled, the reactance $X_C$ is halved, meaning it decreases by a factor of 2.

A Simple Ac Circuit Is Composed of a Capacitor Connected 2\sqrt { 2 }2​

A Simple Ac Circuit Is Composed of a Capacitor Connected $\sqrt { 2 }$