Potential on the inside of a hollow insulating sphere

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To find the electric potential on the inner surface of a hollow insulating spherical shell, the charge distribution and its uniformity are crucial. The potential can be calculated using the formula φ = k_e(q/r), where r is the distance from the charge. Setting up a triple integral is suggested, but Gauss' law may simplify the process if the charge is uniformly distributed. The challenge lies in calculating the potential from the inner surface rather than the center. Understanding the charge distribution will be key to solving the problem effectively.
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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


\phi = k_e\frac{q}{r}


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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