A 10.0-$\mu$F capacitor is plugged into a 110 V-rms 60.0-Hz voltage source, with an ammeter in series.What is the rms value of the current through the capacitor?
A)0.202 A (rms)
B)0.415 A (rms)
C)0.626 A (rms)
D)0.838 A (rms)
E)0.066 A (rms)

Question

Quizplus · Accepted Answer

The current through a capacitor in an AC circuit is given by:
$I_C = \frac{V_{rms}}{X_C}$, where $X_C=\frac{1}{2\pi fC}$ is the capacitive reactance.

Substituting the given values, we get:

$X_C=\frac{1}{2\pi fC}=\frac{1}{2\pi 	imes 60 	imes 10^{-6}}=265.26$ ohms

$I_C = \frac{V_{rms}}{X_C}=\frac{110}{265.26}=0.415$ A (rms)

Therefore, the answer is B.

A 100- μ\muμ F Capacitor Is Plugged into a 110 V-Rms 60

A 100- $\mu$ F Capacitor Is Plugged into a 110 V-Rms 60