If a 22 $\mu F$ capacitor is connected to a 15 V 400 Hz source, its current equals______
A) 55 mA
B) 829 mA
C) 18.1 mA
D) 1.81 A

Question

If a 22 $\mu F$ capacitor is connected to a  15 V 400 Hz source, its current equals______
A)  55 mA
B)  829 mA
C)  18.1  mA
D)  1.81  A

Quizplus · Accepted Answer

The current in a capacitor can be calculated using the formula $I = V\omega C$, where $I$ is the current, $V$ is the voltage, $\omega$ is the angular frequency (which is $2\pi f$, with $f$ being the frequency), and $C$ is the capacitance. For a 22 $\mu F$ capacitor connected to a 15 V, 400 Hz source, $\omega = 2\pi \times 400$, and $C = 22 \times 10^{-6} F$. Plugging these values into the formula gives $I = 15 \times 2\pi \times 400 \times 22 \times 10^{-6} = 0.829 A$ or 829 mA.

If a 22 μF\mu FμF Capacitor Is Connected to a 15 V 400 Hz

If a 22 $\mu F$ Capacitor Is Connected to a 15 V 400 Hz