Potential Energy of a Finite Proton

AI Thread Summary
The discussion revolves around deriving the potential energy of a finite-sized proton in a hydrogen atom, modeled as a uniform spherical charge distribution with a specific radius. Participants emphasize the importance of applying Gauss's law and the definition of electric potential in the derivation process. One user expresses difficulty in solving the problem and seeks assistance. The conversation highlights the need for initial effort from the person asking for help to facilitate guidance. Overall, the thread focuses on the application of fundamental physics principles to a specific problem in electrostatics.
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Homework Statement


This was in a problem set I found. Suppose that the proton in a hydrogen atom is not a pointlike object, but instead described by a uniform spherical charge distribution with charge e and radius R = 8.7 x 10^-16 m. Using Gauss's law and the definition for the electric potential, derive an expression for the potential energy of this finite sized proton.

Homework Equations


CodeCogsEqn (1).gif

CodeCogsEqn (1).gif

The Attempt at a Solution


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I tried to solve this but got lost in it. Any help?
 

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