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EEVblog1618  How To Derive The Equation For Energy In A Capacitor
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EEVblog:
How To Derive The Equation For Energy In A Capacitor, E = 1/2 C.V²
NOTE: Reedited from an old impromptu video to remove all unrelated stuff about the dumpster whiteboard I found.
fzabkar:
 Code: I = C . dV/dt
P = V . I = V . (C . dV/dt) = C . V. dV/dt
Energy acquired by capacitor during time interval dt is ...
dE = P . dt = (C . V. dV/dt) . dt = C . V . dV
Energy 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
 End code 
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