### Author Topic: EEVblog1618 - How To Derive The Equation For Energy In A Capacitor  (Read 2010 times)

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#### EEVblog

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##### EEVblog1618 - How To Derive The Equation For Energy In A Capacitor
« on: May 22, 2024, 02:37:53 am »
How To Derive The Equation For Energy In A Capacitor, E = 1/2 C.V²

NOTE: Re-edited from an old impromptu video to remove all unrelated stuff about the dumpster whiteboard I found.

« Last Edit: May 23, 2024, 01:40:11 am by EEVblog »

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#### fzabkar

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##### Re: EEVblog1618 - How To Derive The Equation For Energy In A Capacitor
« Reply #1 on: May 28, 2024, 04:39:46 am »
Code: [Select]
I = C . dV/dtP = V . I = V . (C . dV/dt) = C . V. dV/dtEnergy acquired by capacitor during time interval dt is ...dE = P . dt = (C . V. dV/dt) . dt = C .  V . dVEnergy E acquired by capacitor as it charges from V = 0 to V = Vf is ...        _   V = Vf  | |  |  |  C .  V . dV|_|        V = 0                    V = Vf=  [ 1/2 . C . V^2 ]                    V = 0=  1/2 . C . Vf^2
« Last Edit: May 28, 2024, 04:42:21 am by fzabkar »

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