Finding Potential Inside a Conducting Sphere

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To find the potential inside a conducting sphere, one should consider the general solution of the Helmholtz equation in spherical polar coordinates, specifically using Bessel's functions. A conducting sphere does not imply that there is no potential outside; rather, it indicates that the potential is constant throughout the conductor's volume. The discussion highlights the intersection of mathematical theory and physics in solving potential problems. Clarifications on the nature of the problem suggest it involves both mathematical and physical principles. Overall, understanding the implications of a conducting sphere is crucial for accurately determining the potential.
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Homework Statement



If I wanted to find the potential inside a sphere, would I be looking for the general solution (in terms of Bessel's expression) for the helmholtz equation, in spherical polar coordinates?

Also, does a 'conducting' sphere imply that there is no potential outside the sphere?



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The Attempt at a Solution



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Can no one verify this for me? Have I been too ambiguous?
 
It's not really a math problem is it? Try physics.
 
Well, it is a topic addressed in the mathematical literature. But I will try your suggestion anyways. Thanks.
 

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