At what frequency is a 0.001 $\mu \mathrm { F }$ capacitor operating if its reactance is 45 $\mathrm { k } \Omega$ ?
A) 3.54 MHz
B) 3.54 kHz
C) 354 kHz
D) 35.4 kHz

Question

At what frequency is a  0.001  $\mu \mathrm { F }$ capacitor operating if its reactance is 45 $\mathrm { k } \Omega$ ?
A)  3.54 MHz
B)  3.54 kHz
C)  354 kHz
D)  35.4 kHz

Quizplus · Accepted Answer

The reactance $X_C$ of a capacitor is given by $X_C = \frac{1}{{2\pi fC}}$, where $f$ is the frequency in hertz, $C$ is the capacitance in farads, and $X_C$ is the reactance in ohms. Rearranging for $f$, we get $f = \frac{1}{{2\pi X_C C}}$. Substituting $X_C = 45,000 \Omega$ and $C = 0.001 \mu F = 0.001 \times 10^{-6} F$, we find $f \approx 3.54 kHz$.

At What Frequency Is a 0 μF\mu \mathrm { F }μF

At What Frequency Is a 0 $\mu \mathrm { F }$