A 25 nH inductor is connected to a 12 V rms ac source. At what frequency must the source drive the circuit if the rms current is to be 2.0 mA?
A) 38 GHz
B) 240 GHz
C) 0.15 MHz
D) 0.96 MHz

Question

Quizplus · Accepted Answer

The inductive reactance $X_L$ is given by $X_L = 2\pi f L$. The rms current $I$ is given by $I = \frac{V}{X_L}$. Solving for frequency $f$, we have $f = \frac{V}{2\pi L I}$. Substituting $V = 12 \, \text{V}$, $L = 25 \, \text{nH}$, and $I = 2.0 \, \text{mA}$, we find $f \approx 38 \, \text{GHz}$.

A 25 NH Inductor Is Connected to a 12 V