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?

Name: If you want a characteristic RL time constant of 1.00 s, and you have… | College Physics Answers
Uploaded: 2018-10-18T04:18:15.000Z
Duration: 20 s
Description: 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?

Problem69

Section 23.10: RL Circuits

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Question

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

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Final Answer

500 \textrm{ H}

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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.