In an AC series circuit the capacitive reactance is 253 $\Omega$ and frequency is 100 Hz. What is the capacitance?
A) 6.29 $\mu$F
B) 8.0 $\mu$F
C) 50.0 $\mu$F
D) 3.2$\mu$F

Question

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 $X_c = 253 \, \Omega$ and $f = 100 \, \text{Hz}$, we find $C \approx 6.29 \, \mu\text{F}$.

In an AC Series Circuit the Capacitive Reactance Is 253 Ω\OmegaΩ

In an AC Series Circuit the Capacitive Reactance Is 253 $\Omega$