Question

What value of inductance should be used if a $20.0\textrm{ k}\Omega$ reactance is needed at a frequency of 500 Hz?

Final Answer

$6.37\textrm{ H}$

### Solution video

# OpenStax College Physics for AP® Courses, Chapter 23, Problem 80 (Problems & Exercises)

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Video Transcript

This is College Physics Answers with Shaun Dychko. With an inductive reactance of 20.0 kiloohms, which is 20.0 times 10 to the 3 ohms and a frequency of 500 hertz, what inductance should we have? So the inductive reactance is 2

*π*times frequency times inductance and we can solve for*L*by dividing both sides by 2*πf*. So the inductance then is the reactance— 20.0 times 10 to the 3 ohms— divided by 2*π*times the frequency of 500 hertz, which is 6.37 henries.