Griffiths Problem 3.17: I Don't Know the Answer

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SUMMARY

The discussion centers on Griffiths Problem 3.17 from the textbook "Introduction to Electrodynamics." The participant expresses confusion regarding the requirement to know the answer in advance for part a of the problem. They clarify that the absence of higher-order terms in the Legendre Polynomial indicates that the solution must be consistent with the potential outside the surface, relying on the ratios of the radii.

PREREQUISITES
  • Understanding of Legendre Polynomials
  • Familiarity with electrostatics concepts
  • Knowledge of potential theory in physics
  • Experience with Griffiths' "Introduction to Electrodynamics" textbook
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  • Study the properties and applications of Legendre Polynomials in electrostatics
  • Review the concept of electric potential and its relationship to charge distributions
  • Explore advanced topics in potential theory
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Students of electromagnetism, physics educators, and anyone tackling Griffiths' problems in electrodynamics will benefit from this discussion.

ehrenfest
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Homework Statement


Please stop reading unless you have Griffiths.

In part a, he says that I know the answer in advance. I actually don't. Why should I?


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The Attempt at a Solution

 
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Because there are no higher order terms in the Legendre Polynomial it has to be same as on the surface and just the ratios of the radii times the potential outside
 

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