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Energy of a Capacitor

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prove that half of work done by battery get stored in inductor

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Q. The energy stored by a capacitor is half of the work done by a battery to charge the capacitor.

Q. If a battery is used to charge a capacitor, work done by the battery is

W

and energy stored in the capacitor is

E

. How these two are related ?

Q. An initially uncharged capacitor is connected across a battery, during charging work done by battery is X & energy stored in capacitor is Y, then X : Y is

Q. A simple LR circuit is connected to a battery at time

t = 0

. The energy stored in the inductor reaches half its maximum value at time

Work done by 1 V battery when switch S is closed in

μ J

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