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

Question

Quizplus · Accepted Answer

The rms current through a capacitor is given by the formula I = VωC, where I is the rms current, V is the rms voltage, ω is the angular frequency (ω = 2πf, with f being the frequency), and C is the capacitance. For a 0.0010-μF (or 1.0 x 10^-9 F) capacitor at 1000 Hz and 5.0 V, ω = 2π(1000) = 2000π rad/s. Therefore, I = 5.0 x 2000π x 1.0 x 10^-9 = 31.4 x 10^-6 A, or approximately 31 μA.

What Is the Rms Current Through a 0