Question

If you want a characteristic RL time constant of 1.00 s, and you have a $500 \Omega$ resistor, what value of self- inductance is needed?

Final Answer

$500 \textrm{ H}$

### Solution video

# OpenStax College Physics for AP® Courses, Chapter 23, Problem 69 (Problems & Exercises)

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Video Transcript

This is College Physics Answers with Shaun Dychko. The characteristic time constant of an LR circuit is inductance divided by resistance and we can solve for

*L*by multiplying both sides by*R*and we have*L*equals tau times*R*. So, that’s 1 second times 500 ohms which is 500 henrys.