A Sphere in a Sphere. A solid conducting sphere carrying charge q has radius a.

Question

A Sphere in a Sphere. A solid conducting sphere carrying charge q has radius a. It is inside a concentric hollow conducting sphere with inner radius b and outer radius c. The hollow sphere has no net charge. Derive expressions for the electric field magnitude in terms of the distance r from the center for each of the following regions. (Use any variable or symbol stated above along with the following as necessary) Graph the magnitude of the electric field as a function of r from r = 0 to r = 2c. (Do this on paper. Your instructor may ask you to turn in this work.) What is the charge on the inner surface of the hollow sphere? What is the charge on the outer surface?

Explanation / Answer

a) at r<a

E = 0
===============

at a < r < b

E = k*q/r^2

===================

at b < r < c

E = 0

==========================

at r > c

E = k*q/r^2

b)

c) Qi = -q

d) Qout = +q

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