A uniformly charged non-conducting sphere of radius a is placed at the center of a spherical...

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A uniformly charged non-conducting sphere of radius a is placed at the center of a spherical...

A uniformly charged non-conducting sphere of radius a is placed at the center of a spherical conducting shell of inner radius b and outer radius c. A charge +Q is distributed uniformly throughout the inner sphere. The outer shell has charge -Q.

Using Gauss' Law:

a) Determine the electric field in the region r< a

b) Determine the electric field in the region a < r < b

c) Determine the electric field in the region r > c

d) What is the charge on the inside and outside surface of the spherical conducting shell? why?

You must use Gauss' Law and be clear in your steps including sketching the Gaussian surfaces used when deriving the equations for E in (a), (b) and (c).

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