Question

At what frequency will a 30.0 mH inductor have a reactance of $100 \textrm{ }\Omega$?

Final Answer

$531 \textrm{ Hz}$

### Solution video

# OpenStax College Physics for AP® Courses, Chapter 23, Problem 79 (Problems & Exercises)

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Video Transcript

This is College Physics Answers with Shaun Dychko. We want to know at what frequency an inductor will have a given reactance. So the reactance is meant to be 100 ohms and the inductor has an inductance of 30 millihenrys. So the reactance for an inductor is 2

*Pi*times the frequency times the self-inductance and we will divide both sides by 2*Pi L*to solve for*F*. So the frequency is reactance divided by 2*Pi*times inductance plus 100 ohms divided by 2*Pi*times 30 times 10 to the minus 3 Henrys which is 531 Hertz.