A 120-V rms voltage is applied across a 6.0-μF capacitor.If the frequency of the generator is 60 Hz,what is the rms value of the current in the circuit?
A)0.47 A
B)0.37 A
C)0.071 A
D)0.17 A
E)0.27 A

Question

Quizplus · Accepted Answer

The rms current in a capacitive circuit is given by $I_{rms} = V_{rms} \times \omega C$, where $V_{rms}$ is the rms voltage, $\omega$ is the angular frequency ($\omega = 2\pi f$, with $f$ being the frequency), and $C$ is the capacitance. Given $V_{rms} = 120\,V$, $C = 6.0\,\mu F = 6.0 \times 10^{-6}\,F$, and $f = 60\,Hz$, we find $\omega = 2\pi \times 60$. Thus, $I_{rms} = 120 \times 2\pi \times 60 \times 6.0 \times 10^{-6} = 0.27\,A$.

A 120-V Rms Voltage Is Applied Across a 6