At what frequency is a 2000 $p \mathrm {~F}$ capacitor operating if its reactance is 745 $\Omega$ ?
A) 107 kHz
B) 1.01 kHz
C) 10.1 kHz
D) 1010 Hz

Question

At what frequency is a  2000 $p \mathrm {~F}$ capacitor operating if its reactance is  745 $\Omega$ ?
A)  107 kHz 
B)  1.01 kHz
C)  10.1 kHz
D)  1010 Hz

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 this formula to solve for $f$, we get $f = \frac{1}{2\pi X_C C}$. Substituting $X_C = 745 \Omega$ and $C = 2000 pF = 2000 \times 10^{-12} F$, we find $f \approx 107 kHz$.

At What Frequency Is a 2000 p Fp \mathrm {~F}p F Capacitor Operating If Its Reactance Is 745

At What Frequency Is a 2000 $p \mathrm {~F}$ Capacitor Operating If Its Reactance Is 745