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A conducting shell concentrically surrounds a point charge of magnitude $Q$ located at the origin. The inner radius of the shell is $R_1$ and the outer radius $R_2$.

a) Find the electric field $\vec{E}$ at all points in space (you should have three answers for three distinct regions).

b) Find the surface charge density $\sigma$ on the inner surface of the conductor. Justify your answer with Gauss's law.



Robert G. Brown 2003-02-09