A charge, q, is uniformly distributed through a sphere of radius R. Surrounding the sphere is...
A charge, q, is uniformly distributed through a sphere of radius R. Surrounding the sphere is a conducting shell having inner radius 2R and outer radius 3R. The shell has a charge of -4q placed on it.
a. What is the electric field and electric potential, relative to V = 0 at infinity at r for r > 3R?
b. What is the electric field and electric potential at r for 3R > r > 2R?
c. What is the electric field and electric potential at r for 2R> r > R?
d. What is the electric field and electric potential at r for R > r ≥ 0?
e. Sketch a graph of the magnitude of the electric field (let fields pointing inward toward the sphere’s center have a negative magnitude) and the electric potential for all of the regions calculated above. Comment on anything unusual about the graph.
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