In an AC series circuit the capacitive reactance is 389 Ω and frequency is 65 Hz.What is the capacitance?
A) 12.6 μF
B) 39.5 μF
C) 6.30 μF
D) 8.91 μF
E) 17.8 μF

Question

In an AC series circuit the capacitive reactance is 389 Ω and frequency is 65 Hz.What is the capacitance?
A) 12.6 μF
B) 39.5 μF
C) 6.30 μF
D) 8.91 μF
E) ​17.8 μF

Quizplus · Accepted Answer

The formula for capacitive reactance is $X_c = \frac{1}{2\pi f C}$. Rearranging for capacitance $C$, we get $C = \frac{1}{2\pi f X_c}$. Substituting $f = 65$ Hz and $X_c = 389$ Ω, we find $C \approx 6.30$ μF.

In an AC Series Circuit the Capacitive Reactance Is 389