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deathsink
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Homework Statement
Imagine a solid, annular sphere. At the center of the hollow is a point charge +Q. The inner radius of the sphere is r0, and the outer radius is R. Assume the charge density p = p0/r (for r0 < r < R). Calculate using the integral form of Gauss's Law the electric field in all three regions:
0< r < r0
r0< r < R
R < r < infinity
Homework Equations
[PLAIN]http://www.forkosh.dreamhost.com/mimetex.cgi?%5Coint_S%5Cmathbf%7BE%7D%5Ccdot%7Bd%7D%5Cmathbf%7BA%7D=%5Cfrac%7BQ%7D%7B%5Cepsilon_0%7D=%5Cfrac%7B1%7D%7B%5Cepsilon_0%7D%5Cint_V%5Crho(%5Cmathbf%7Br%7D)%5C,dV
The Attempt at a Solution
for 0 < r < r0
E(4 Pi r^2) = 1/e0 (p0/r)(4/3 pi r^3)
=> E = (1/3e0)p0
But this can't be right for because all of the r's cancel out. And since I can't do this one, I know I can't do the rest.
Thank you.
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