A 13.7-μF capacitor is connected to an AC source with an rms voltage of 148 V and a frequency of 40.0 Hz.What is the rms current in the capacitor?
A)0.162 A
B)0.255 A
C)0.509 A
D)0.360 A
E)0.720 A

Question

Quizplus · Accepted Answer

The rms current in a capacitor can be calculated using the formula:

Irms = Vrms / Xc

where Xc is the capacitive reactance given by:

Xc = 1 / (2πfC)

Substituting the given values, we get:

Xc = 1 / (2π(40.0 Hz)(13.7×10^-6 F)) = 292.3 Ω

And:

Irms = Vrms / Xc = (148 V) / (292.3 Ω) = 0.509 A

Therefore, the answer is choice C, 0.509 A.

A 137-μF Capacitor Is Connected to an AC Source with an an Rms