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!

How to find electric-charge density distribution

  1. Sep 14, 2013 #1
    Given only an uniform electric field with unit vectors in the x, y, and z directions, how would you go about calculating the electric-charge density distribution p(r) for that electric field?
  2. jcsd
  3. Sep 14, 2013 #2
    One nice formula you might try applying is one of Maxwell's equations: [tex]\nabla \cdot \mathbf{E} = \frac {\rho} {\varepsilon_0}[/tex] The symbol [itex]\rho[/itex] is the charge density that generates the electric field [itex]\mathbf{E}[/itex], and [itex]\varepsilon_0[/itex] is a proportionality constant called the permittivity of free space.
  4. Sep 14, 2013 #3
    Thanks, I will try that.
  5. Sep 15, 2013 #4
    The divergence of a uniform field is zero. There are no charges, at least where the field is uniform.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook