What is the rms current through a 0.0010-µF capacitor at 1000 Hz and 5.0 V?
A) 5.4 µA
B) 3.1 mA
C) 31 µA
D) 10 mA

Question

Quizplus · Accepted Answer

The rms current through a capacitor is given by the formula I = VωC, where V is the rms voltage, ω is the angular frequency (ω = 2πf, with f being the frequency), and C is the capacitance. Here, V = 5.0 V, f = 1000 Hz, and C = 0.0010 µF = 0.0010 × 10^-6 F. Thus, ω = 2π × 1000 = 2000π rad/s. Plugging these values into the formula gives I = 5.0 × 2000π × 0.0010 × 10^-6 = 31.4 × 10^-6 A = 31 µA.

What Is the Rms Current Through a 0