At what frequency will a 12-μF capacitor have a reactance XC = 300 Ω?
A)44 Hz
B)88 Hz
C)180 Hz
D)350 Hz
E)280 Hz

Name: At what frequency will a 12-μF capacitor have a reactance XC = 300 Ω? A)44 Hz B)88 Hz C)180 Hz D)350 Hz E)280 Hz
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Question

Quizplus · Accepted Answer

The capacitive reactance $X_C$ is given by the formula $X_C = \frac{1}{2\pi f C}$. Solving for frequency $f$, we have $f = \frac{1}{2\pi X_C C}$. Substituting $X_C = 300 \, \Omega$ and $C = 12 \, \mu F = 12 \times 10^{-6} \, F$, we find $f \approx 44 \, Hz$.

At What Frequency Will a 12-μF Capacitor Have a Reactance