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where does 1/2 come from in capacitor energy calculation

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brownt:
Hi,

where does 1/2 come from with the 1/2CV2 calculation for energy in a capacitor?

Bassman59:

--- Quote from: brownt on July 12, 2018, 05:12:02 am ---Hi,

where does 1/2 come from with the 1/2CV2 calculation for energy in a capacitor?

--- End quote ---

integration!

GregDunn:
When you integrate C*V wrt V you get 1/2 CV2.  Simple as that.

intabits:
(similar for kinetic energy: E=1/2MV^2, And I think I've seen another one for some other form of energy)

see here: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/capeng2.html#c3
(You may need to click the "show more" hypertext)

EEVblog:
The more interesting question is, where does half the energy go when charging a capacitor ;D

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