Electrostatics - Charge Density

  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:

  2. jcsd
  3. Ben Niehoff

    Ben Niehoff 1,755
    Science Advisor
    Gold Member

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

    [tex]-\nabla^2 \Phi = \rho / \epsilon_0[/tex]
  4. clem

    clem 1,276
    Science Advisor

    That's Poisson, not Laplace.
  5. Thanks, that helps a lot. :smile:

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

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