Potential on the inside of a hollow insulating sphere

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SUMMARY

The discussion focuses on calculating the electric potential on the inner surface of a hollow insulating spherical shell with inner radius 'a' and outer radius 'b'. The relevant equation for electric potential is given as φ = k_e(q/r). The solution involves using Gauss' law to determine the charge distribution on the shell, which simplifies the calculation of the electric potential. A triple integral approach is suggested for more complex scenarios, particularly when considering points on the inner surface.

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  • Understanding of electric potential and Gauss' law
  • Familiarity with spherical coordinates and triple integrals
  • Knowledge of charge distribution in insulating materials
  • Basic concepts of electrostatics
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Homework Statement


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.


Homework Equations


[tex]\phi = k_e\frac{q}{r}[/tex]


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?
 
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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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