If a 27 mH inductor has a reactance of 5.5 $k \Omega$ , the frequency equals_____
A) 3.24 kHz
B) 32.4 kHz
C) 932 Hz
D) 324 Hz

Question

If a  27 mH  inductor has a reactance of  5.5 $k \Omega$ , the frequency equals_____ 
A)  3.24 kHz
B)  32.4 kHz
C)  932 Hz
D)  324 Hz

Quizplus · Accepted Answer

The reactance of an inductor is given by $X_L = 2\pi fL$, where $X_L$ is the reactance in ohms, $f$ is the frequency in hertz, and $L$ is the inductance in henries. Rearranging the formula to solve for $f$, we get $f = \frac{X_L}{2\pi L}$. Substituting $X_L = 5500 \Omega$ (since $5.5 k\Omega = 5500 \Omega$) and $L = 0.027 H$ (since $27 mH = 0.027 H$), we find $f = \frac{5500}{2\pi \times 0.027} \approx 32.4 kHz$.

If a 27 MH Inductor Has a Reactance kΩk \OmegakΩ

If a 27 MH Inductor Has a Reactance $k \Omega$