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Potential on the inside of a hollow insulating sphere

  1. Mar 2, 2009 #1
    1. The problem statement, all variables and given/known data
    We have a hollow insulating spherical shell of inner radius a and outer radius b. While it can be treated as a point for r > b, find the electric potential on the inner surface of the shell.

    2. Relevant equations
    [tex]\phi = k_e\frac{q}{r}[/tex]

    3. The attempt at a solution
    My best idea is that I'm going to need to set up a triple integral. If this was from any point in the center it would be trivial, but it's a little harder from the inner surface. Any suggestions on where to start with this integral?
  2. jcsd
  3. Mar 2, 2009 #2


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    Homework Helper

    You'll need to know the charge on the shell and how it is distributed.
    If uniformly, you should be able to get it with Gauss' law.
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