Using Gauss’ Law, find an expression in terms R1, R2, and ρ of the magnitude (measured in N/C) and the direction (away from or towards the center) of the electric field at a distance r from the center of the sphere, for values R1 < r < R2? (Do all this work symbolically - don't use the values of part (b) for this part.) (b) The inner radius is R1 = 1.00 cm, and the outer radius is R2 = 4.00 cm. The material is charged uniformly ρ = -1.70 nC/m3

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter25: Gauss’s Law
Section: Chapter Questions
Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...
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A hollow sphere made from a non-conducting material is shown below in cross-section. The inner radius is R1, and the outer radius is R2. The material is charged uniformly -ρ.
(a) Using Gauss’ Law, find an expression in terms R1, R2, and ρ of the magnitude
(measured in N/C) and the direction (away from or towards the center) of the electric
field at a distance r from the center of the sphere, for values R1 < r < R2? (Do all this
work symbolically - don't use the values of part (b) for this part.)

(b) The inner radius is R1 = 1.00 cm, and the outer radius is R2 = 4.00 cm. The
material is charged uniformly ρ = -1.70 nC/m3
. If the electric potential is 0V infinitely far
away, what is the electric potential at the outer surface (r = R2) of the sphere?

 

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