Question

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

Final Answer

$531 \textrm{ Hz}$

Solution Video

#### Sign up to view this solution video!

View sample solution## Calculator Screenshots

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 milli henrys. 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 two*Pi*times inductance plus 100 ohms divided by two*Pi*times 30 times tenth to the minus three Henrys which is 531 Hertz.