# A 100 ?F capacitor is given a chargeQ0 . After 4 ...

A 100 ?F capacitor is given a chargeQ

_{0}. After 4 s, the capacitor's charge isQ_{0}/4. What is the resistance across thecapacitor?Comments

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A 100 ?F capacitor is given a chargeQ_{0} . After 4 s, the capacitor's charge isQ_{0}/4. What is the resistance across thecapacitor?

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## Answers ( 1 )

The discharge of the capacitor is given byV = ? e^{-t / RC}Q_{o}/ 4C = Q_{o}/ C e^{-t /RC}0r 1/4 = 1e^{-t / RC}0re^{t / RC}= 40rt / RC = ln 40r R = RC ln 40r R = 29 k?