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

Question

Quizplus · Accepted Answer

The reactance of a capacitor can be calculated using 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.

We are given Xc = 100 Ω and C = 10 μF = 10 × 10^-6 F.

Substituting these values into the formula, we get:
100 = 1 / (2πf × 10 × 10^-6)

Solving for f, we get:
f = 1 / (2π × 100 × 10 × 10^-6) = 159 Hz

Therefore, the answer is B) 159 Hz.

At What Frequency Would the Reactance ) of a 10-μF