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E-field above square

  1. Oct 8, 2007 #1


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    1. The problem statement, all variables and given/known data
    Find the electric field a height z above a square of side length [tex]a[/tex] with uniform surface charge [tex]\sigma[/tex]

    2. Relevant equations

    3. The attempt at a solution
    [tex]E=\frac{z\sigma}{4\pi\epsilon_0}\int^{a/2}_{-a/2}\int^{a/2}_{-a/2}\frac{dx dy}{(x^2+y^2+z^2)^{3/2}}[/tex]
    (in the z direction). However, unless I maple'd wrong, this gives the wrong answer. Can you anyone see a problem with the way the integral is set up?
  2. jcsd
  3. Oct 8, 2007 #2


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    Looks right to me.
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