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Consider the spherical shell and point charge q > 0 in figure A. Assume that the outer shell consists of conducting material and that it carries a net charge of -3q.

1189_The spherical shell and point charge.png

(a) Derive expressions for the magnitude E(r) of the electric field in the three regions r < a, a < r < b and r > b.

(b) What are the surface charge densities on the inner and outer surfaces of the shell?

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