Question: Electric field of a nonconducting sphere with a spherical cavity

Sunday, 21 of October , 2007 at 10:45 pm

I got this question a couple times on E&M assignments. The solution to this problem is really elegant.

Question: A sphere of radius a is made of a nonconducting material that has a uniform volume charge density . A spherical cavity of radius b is removed from sphere which is a distance z from the center of the sphere. Assume that a > z + b. What is the electric field in the cavity?

Note: You should only need Gauss’s Law to solve this problem.

Category: Electricity and Magnetism, Questions

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