A solid insulating plastic sphere of radius a carries a total net positive charge 3Q uniformly distributed throughout its interior. The insulating sphere is coated with a metallic layer of inner radius a and outer radius 2a. The conducting metallic layer carries a net charge of -2Q. Apply Gauss’s law to find the magnitude of the electric field in the region r < a. In the figure, draw the Gaussian surface you are using, and indicate on that surface the direction of any vectors which appear in the mathematical expression of Gauss’s law. Express your answer in terms of a, Q, r, and ε0. (If you get an expression involving ρ, substitute it from above to re-express your answer in terms of the stated variables.)
A solid insulating plastic sphere of radius a carries a
total net positive charge 3Q uniformly distributed throughout its interior.
The insulating sphere is coated with a metallic layer of inner radius a and
outer radius 2a. The
Apply Gauss’s law to find the magnitude of the electric field in the region r < a. In
the figure, draw the Gaussian surface you are using, and indicate on that surface the direction of any
vectors which appear in the mathematical expression of Gauss’s law. Express your answer in terms of
a, Q, r, and ε0. (If you get an expression involving ρ, substitute it from above to re-express your
answer in terms of the stated variables.)
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