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Question: consider an infinitely long cylinder of radius r with two...

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Consider an infinitely long cylinder of radius R with two spherical cavities, also of radius R. The cylinder carries a uniform volume charge density of ρ. There are two point charges at the center of the spherical cavities both of charge q.
Hint: Just as the previous hint, superposition is your friend. A suggestion is to find the contributions from the cylinder and spheres separately.

(a) Find the electric field at the points A, B, and C in the diagram below.
(b) Suppose that the point charges have a magnitude q = 4πR3ρ. Find the energy density of the field outside the cylinder.3R 2. drawing shows the central crossection of the cylinder 3R 3R

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