1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Electrostatics - Charge Density

  1. Nov 5, 2008 #1

    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. Nov 5, 2008 #2

    Ben Niehoff

    User Avatar
    Science Advisor
    Gold Member

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

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


    User Avatar
    Science Advisor

    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:

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook