A nonconducting solid sphere of radius R has a volume charge density that is proportional to the distance from the center. That is, ρ = Ar for r R, where A is a constant. (Use the following as necessary: ε0, A, r, and R, as necessary.) (a) Find the total charge on the sphere. (b) Find the expressions for the electric field inside the sphere (r < R) and outside the sphere (r > R).

A nonconducting solid sphere of radius R has a volume charge density that is proportional to the distance from the center. That is, ρ = Ar for r R, where A is a constant. (Use the following as necessary: ε0, A, r, and R, as necessary.) (a) Find the total charge on the sphere. (b) Find the expressions for the electric field inside the sphere (r < R) and outside the sphere (r > R).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

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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