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Electrostatics - Charge Density

by Herbststurm
Tags: charge, density, electrostatics
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Nov5-08, 02:14 PM
Herbststurm's Avatar
P: 24

if we only have an electrostatic potential given. How to calculate the charge density?

I know of course Maxwell equation, here without any time dependence, but I missed always some further specifications, or I forget something important

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Ben Niehoff
Nov5-08, 02:59 PM
Sci Advisor
PF Gold
P: 1,594
Use Laplace's equation (derived from Gauss's Law):

[tex]-\nabla^2 \Phi = \rho / \epsilon_0[/tex]
Nov5-08, 03:54 PM
Sci Advisor
P: 1,266
That's Poisson, not Laplace.

Nov6-08, 11:38 AM
Herbststurm's Avatar
P: 24
Electrostatics - Charge Density

Thanks, that helps a lot.

I knew Poissons equation, but I forgot it. Damn...


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