Solved: Griffiths Problem 3.1: Calculating Average Potential on Sphere

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SUMMARY

The discussion focuses on solving Griffith's Problem 3.1 from the textbook "Introduction to Electrodynamics" by David J. Griffiths, specifically calculating the average electric potential on a sphere due to an enclosed charge. The solution involves applying Gauss's Law to derive the average potential, which is equivalent to the integral used for a point charge within the sphere. Participants clarify that the average potential can be computed using the established integral method, confirming the relationship between Gauss's Law and the average potential calculation.

PREREQUISITES
  • Understanding of Gauss's Law in electrostatics
  • Familiarity with electric potential concepts
  • Knowledge of integral calculus
  • Basic principles of electrostatics from Griffith's E and M textbook
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  • Review Gauss's Law applications in electrostatics
  • Study the derivation of electric potential from point charges
  • Explore integral calculus techniques for calculating averages
  • Examine related problems in Griffith's E and M textbook for further practice
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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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