- #1
bishy
- 13
- 0
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?
Homework Equations
https://www.physicsforums.com/latex_images/13/1397427-0.png
Qenclosed = r^3/R^3
flux= 4pi*r^2*E
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.
Last edited by a moderator: