Solved: Griffiths Problem 3.1: Calculating Average Potential on Sphere

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The discussion centers on solving Griffiths Problem 3.1, which involves calculating the average potential on a sphere due to an enclosed charge. Participants note the relevance of Gauss's Law in this context but express confusion about deriving the average potential from it. The integral mentioned is identified as similar to that used for calculating the average potential for a point charge within the sphere. Clarifications on the application of these concepts are sought to resolve the problem. The conversation highlights the connection between Gauss's Law and potential calculations in electrostatics.
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[SOLVED] Griffiths Problem 3.1

Homework Statement


This question refers to Griffith's E and M textbook.

I am stuck trying to calculate the average potential on the sphere due to the enclosed charge. It seems like he used something like Gauss's Law but I don't see how to get the average potential from Gauss's Law.


Homework Equations





The Attempt at a Solution

 
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The integral G does on the preceding page is the same integral as for the average V on the sphere for a point charge within the sphere.
 

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