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**1. Homework Statement**

A solid sphere contains a uniform volume charge density (charge Q, radius R).

(a) Use Gauss’s law to find the electric field inside the sphere.

(b) Integrate

E^2 over spherical shells over the volumes inside and outside the sphere.

(c) What fraction of the total electrostatic energy of this configuration is contained within the sphere?

**2. Homework Equations**

https://www.physicsforums.com/latex_images/13/1397427-0.png [Broken]

Qenclosed = r^3/R^3

flux= 4pi*r^2*E

**3. The Attempt at a Solution**

a) E=(Q*r)/(4*pi*(epsilon0)*R^3)

b) So I am thinking for this one that I need to integrate E^2 with upper limits being inside and lower limits being the outside of the sphere. what I'm not sure is if its intergral(E^2 dE) or if a value inside of E is being integrated. R or r would make sense to intergrate as well hence intergral(E dr)

c) since I can't solve b, I can't solve c either.

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