A solid, insulating sphere of radius a has a uniform charge density ρ and a total charge Q
Guided Problem 4 -Gauss's Law
A solid, insulating sphere of radius a has a uniform charge density ρ and a total charge Q. Concentric with this sphere is an uncharged, conducting hollow sphere whose inner and outer radii are b and c as shown in the following figure. (a) Find the magnitude of the electric field in the regions: r<a, a<r<b, and r>c. (b) Determine the induced charge per unit area on the inner and outer surfaces of the hollow sphere.
Solution scheme: (a) Choose a spherical gaussian surface for each region and find the electric field on each surface using Gauss's law. (b) Use Gauss's law and the fact that the electric field in a conductor in electrostatic equilibrium is zero.
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