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A thick spherical shell of charge ? and uniform volume charge density ? > 0 is...

A thick spherical shell of charge ? and uniform volume charge density ? > 0 is bounded by radii ?1 and ?2 > ?1. Assume that ? = 0 at infinity.

(a) Find the electric potential ?(r) as a function of distance ? from the centre of the distribution for ? > ?2.

(b) Find the electric potential ? (?) as a function of distance ? for ?1 < ? < ?2.

(c) Find the electric potential ? ? as a function of distance ? for ? < ?1. (

d) Do these solutions agree with each other at ? = ?1 and ? = ?2 ?

Include a diagram in your solution

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