If you connect a 12-V rms AC power supply that operates at 5.0 kHz to a 20-$\mu$F capACitor,what is the rms current in the circuit? (neglect any resistance)
A)1.2 A
B)7.5 A
C)19 A
D)8.4 A
E)11 A

Question

Quizplus · Accepted Answer

The rms current in the circuit can be calculated using the formula $I = V \times \omega C$, where $I$ is the rms current, $V$ is the rms voltage (12 V), $\omega$ is the angular frequency ($2\pi f$, with $f = 5000$ Hz), and $C$ is the capacitance (20 $\mu$F or $20 \times 10^{-6}$ F). Plugging in the values, we get $I = 12 \times 2\pi \times 5000 \times 20 \times 10^{-6} = 7.54$ A, which rounds to 7.5 A, making option B the correct choice.

If You Connect a 12-V Rms AC Power Supply That μ\muμ

If You Connect a 12-V Rms AC Power Supply That $\mu$