Inductors in AC Circuits Video Lessons

Concept

# Problem: An inductor is connected to an AC power supply having a maximum output voltage of 4.00 V at a frequency of 300 Hz. What inductance is needed to keep the rms current less than 2.00 mA?

###### FREE Expert Solution

In this problem, we'll need various equations. We'll begin by identifying the necessary equations.

Rms current:

$\overline{){{\mathbf{i}}}_{\mathbf{r}\mathbf{m}\mathbf{s}}{\mathbf{=}}\frac{{\mathbf{V}}_{\mathbf{r}\mathbf{m}\mathbf{s}}}{{\mathbf{X}}_{\mathbf{L}}}}$ where Vrms is the rms voltage and XL is the inductive reactance

Rms Voltage:

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###### Problem Details

An inductor is connected to an AC power supply having a maximum output voltage of 4.00 V at a frequency of 300 Hz. What inductance is needed to keep the rms current less than 2.00 mA?