If you want a characteristic RL time constant of 1.00 s, and you have a 500Ω500 \Omega resistor, what value of self- inductance is needed?
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Final Answer

500 H500 \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.