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Integral from an electric field calculation

  1. Jul 30, 2013 #1
    Hi all,

    Any ideas how to solve this integral?

    $$ \int_{0}^{\pi} \frac{(z-R\cos{\theta})\sin{\theta}d\theta}{R^2+z^2-2zr\cos{\theta}}$$

    It crops up in a calculation of the electric field for a spherical charged shell. It has a uniform charge smear

    Thanks ahead of time
  2. jcsd
  3. Jul 30, 2013 #2
    The lower case r in the denominator should be a large R for the radius of the shell.
  4. Jul 30, 2013 #3
    Well, I figured out that when z=R you recover the expected field of an infinite plane.

    $$ E_z=\sigma/2\epsilon_0 $$
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