A spherical insulator with radius R is centered at the origin. The volume charge density p of the insulator is non-uniform and varies with position according to p(r) = ar, where a is a constant. Derive an expression for the electric field E(r) for all points outside the sphere (r > R). Hint: finding the total charge of the sphere will require an integral.

A spherical insulator with radius R is centered at the origin. The volume charge density p of the insulator is non-uniform and varies with position according to p(r) = ar, where a is a constant. Derive an expression for the electric field E(r) for all points outside the sphere (r > R). Hint: finding the total charge of the sphere will require an integral.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 83AP: The infinite slab between the planes defined by z=a/2 and z=a/2 contains a uniform volume charge...

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