What is the capacitance of a capacitor with a reactance of 20.0 Ω at a frequency of 60.0 Hz?
A) 50.0 mF
B) 50.0 μF
C) 133 mF
D) 133 μF
E) 833 μF

Question

Quizplus · Accepted Answer

Reactance (X) of a capacitor can be calculated using the formula: 
X = 1 / (2πfC)

Where f is the frequency and C is the capacitance.

We are given X = 20.0 Ω and f = 60.0 Hz. 
Substituting these values in the above formula, we can calculate C as:
C = 1 / (2πfX) = 1 / (2π * 60.0 * 20.0) = 133 μF

Therefore, the capacitance of the capacitor is 133 μF. Hence, the correct answer is D) 133 μF.

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