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\begin{figure}\centerline{
\psfig{file=problems/prob_3_4.eps,height=2.5in}
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Two spherical shells with radii $R_1$ and $R_2$ respectively concentrically surround a point charge. The central point charge has magnitude $2Q$. Both the spherical shells have a charge of $-Q$ (each) distributed uniformly upon the shells.

Find the field and potential at all points in space. Show your work - even if you can just write the answer(s) down for each region, briefly sketch the methodology used to get the answers.


Robert G. Brown 2003-02-09