At what frequency would the reactance ) of a 1.0-mH inductor be twice the reactance ) of a 10-μF capacitor?
A) 10 kHz
B) 3.2 kHz
C) 2.2 kHz
D) 1.6 kHz
E) 1.1 kHz

Question

Quizplus · Accepted Answer

The reactance of an inductor is given by $X_L = 2\pi f L$ and the reactance of a capacitor is $X_C = \frac{1}{2\pi f C}$. Setting $X_L = 2X_C$ and solving for $f$ with $L = 1.0 \times 10^{-3}$ H and $C = 10 \times 10^{-6}$ F gives $f \approx 2.2$ kHz.

At What Frequency Would the Reactance ) of a 1