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Electrostatics - Charge Density

  1. Nov 5, 2008 #1
    Hi,

    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 :confused: :redface:

    thanks
    greetings
     
  2. jcsd
  3. Nov 5, 2008 #2

    Ben Niehoff

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    Gold Member

    Use Laplace's equation (derived from Gauss's Law):

    [tex]-\nabla^2 \Phi = \rho / \epsilon_0[/tex]
     
  4. Nov 5, 2008 #3

    clem

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    That's Poisson, not Laplace.
     
  5. Nov 6, 2008 #4
    Thanks, that helps a lot. :smile:

    I knew Poissons equation, but I forgot it. :redface: Damn... :grumpy:

    Greetings
     
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