Solving Physics Homework: Question Redirected

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Homework Help Overview

The discussion revolves around solving a physics problem related to potential in spherical coordinates, specifically focusing on boundary conditions and the implications of conducting surfaces.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the necessity of specifying boundary conditions to determine the potential. Questions arise regarding the assumptions about potential outside the spheroid and how boundary conditions influence the specific solution.

Discussion Status

Some participants have provided references and suggested checking specific resources for examples. There is an ongoing exploration of different interpretations regarding boundary conditions and their role in the solution process.

Contextual Notes

There is mention of a lack of specified boundary conditions, which is critical for solving the problem. The original poster's approach involves considering the potential and its relationship to the conducting nature of the sphere.

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You use spherical coordinates, but without boundary conditions, you will not be able to find the potential, so you need to specify them.

Barring time-dependent boundary conditions, "conducting" means that the entire sphere is an equipotential.
 
So, my solution will satisfy:

\nabla^{2}\Psi = 0

\Psi = \sum a \Psi

Should I assume there will be no potential outside the spheroid (or whatever)? And do the boundary conditions determine what particular solution (there is a table of different ones) it will be?
 

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