Finding electric potential from a charged sphere

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asi123
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Homework Statement



Hey guys.
Look at this question, I already did the first part.
I have no idea how to do the second one, even with the clue...

Can Someone please help me with that?
10x.

Homework Equations





The Attempt at a Solution

 
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  • Two-part physics problem: 1. Calculate the energy to build a uniformly charged sphere of radius R and total charge Q using U = (1/2) integral of rho(r) V(r) d^3x. 2. Derive from the previous formula U = (eps0/2) integral of E^2(r) d^3x, with hint: use integration by parts and explain why the boundary term vanishes.
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Well, the HINT suggests using integration by parts, have you tried that?

You should note that integration by parts for vector equations is not the same as for scalar equations. If you're not familiar with using integration by parts on vector equations, it is also possible to use Green's formula.
 
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Also, you will probably find one of Maxwell's equations fairly useful... The one that relates charge density to electric field.