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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?
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Final Answer

$500 \textrm{ H}$

Solution Video

OpenStax College Physics Solution, Chapter 23, Problem 69 (Problems & Exercises) (0:20)

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