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Average electric field in spherical volume

  1. Apr 21, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that the average electric field within a spherical region, due to a single point charge, q at a distance r from the center, within the sphere is the same as the field at r due to a uniformly charged sphere with charge density p = -3q/4pi(R^3)

    2. Relevant equations


    3. The attempt at a solution

    I can set up the integral for the average electric field, but run into problems when trying to evaluate it. I don't know whether there is a better way to tackle this problem, but i would appreciate any advice on how to tackle this problem.
    This is a problem out of Griffiths Intro to Electrodynamics, problem 3.41
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 21, 2010 #2

    gabbagabbahey

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    Homework Helper
    Gold Member

    Direct integration is the only way, so show us the integral you've come up with.
     
  4. Apr 23, 2010 #3
    The integral is not particularly nice, but i found a more cunning way to solve the problem, but thanks anyway. I also don't know how to write mathematical expressions on this thing
     
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