At what frequency would the reactance of a 10-µF capacitor be 100 $\Omega$
A)318 Hz
B)159 Hz
C)79.6 Hz
D)39.8 Hz
E)25.4 Hz

Question

Quizplus · Accepted Answer

Reactance of a capacitor is given by the formula Xc = 1/(2πfC), where Xc is the reactance in ohms, f is the frequency in Hertz, and C is the capacitance in Farads.

Given Xc = 100 Ω, C = 10 μF = 10 × 10^-6 F.

Substituting these values in the formula, we get:

100 = 1/(2πf × 10 × 10^-6)

Solving for f, we get:

f = 1/(2π × 10 × 10^-6 × 100)

f ≈ 159 Hz

Therefore, the answer is B) 159 Hz.

At What Frequency Would the Reactance of a 10-µF Capacitor Ω\OmegaΩ

At What Frequency Would the Reactance of a 10-µF Capacitor $\Omega$