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A conducting spherical shell with inner radius a and outerradius b has a positive point...

A conducting spherical shell with inner radius a and outer radius b has a positive point charge Q located at its center. The total charge on the shell is - 3Q, and it is insulated from its surroundings.

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(a) Derive expressions for the electric-field magnitude E in terms of the distance r from the center for r < a, a < r < b, and r > b.

(b) Sketch the electric field lines.

(c) Plot Ể as a function of r.


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