How Do You Calculate the Potential Energy of a Uniformly Charged Sphere?

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Homework Help Overview

The discussion revolves around calculating the potential energy of a uniformly charged sphere, specifically focusing on the work done in assembling the charge distribution. The original poster describes a scenario involving a spherical volume filled with charge of uniform density and seeks to express the potential energy in terms of the total charge.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants inquire about the original poster's progress on the problem and emphasize the importance of showing work or thoughts before seeking assistance. There is a focus on understanding the method of building the sphere layer by layer and the implications of the electric field outside the sphere.

Discussion Status

The conversation is ongoing, with some participants questioning the original poster's engagement with the problem. There is a mix of encouragement and requests for clarification on the original poster's current understanding and approach to the question.

Contextual Notes

The original poster mentions working independently from a textbook and expresses frustration at being stuck, while also noting the informal nature of the inquiry as it is outside of a school context.

ffdbzathf
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A spherical volume of radius, a, is filled with charge of uniform density, p. We want to know the potential energy, U, of this sphere of charge, that is, the work done in assembling it. Calculate it by building the sphere up layer by layer, making use of the fact that the field outside a spherical distribution of charge is the same as if all the charge were at the center. Express the result in terms of the total charge, Q, in the sphere.
 
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That was a nice rendition of your exercise question!

Now, going over to the really big issue:
Have you done anything at all?
 
Exercise question? This is not for school dude...it's june, school is over. I'm working out of a book called Electricity and Magnetism by Purcell, by myself, and have gotten stuck on this question. Thank you so much for being helpful.
 
ffdbzathf said:
Exercise question? This is not for school dude...it's june, school is over. I'm working out of a book called Electricity and Magnetism by Purcell, by myself, and have gotten stuck on this question. Thank you so much for being helpful.

The forum rules require you to show your work (or thoughts/ideas) before you get help.

Also, if you drop the sarcasm, people might be more tempted to help :smile:
 

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