A sphere with radius R centered at the origin is made out of a linear dielectric material, with electric susceptibility Xe = 2, and has a uniform (free) surface charge density, of, on its surface. a) Determine the electric field both inside and outside the sphere. b) Taking the electric potential to be zero at infinity, determine the electric potential both inside and outside the sphere. c) If instead, the (free) surface charge density was of (0) = ao cos 0, determine the electric potential both inside and outside the sphere.

A sphere with radius R centered at the origin is made out of a linear dielectric material, with electric susceptibility Xe = 2, and has a uniform (free) surface charge density, of, on its surface. a) Determine the electric field both inside and outside the sphere. b) Taking the electric potential to be zero at infinity, determine the electric potential both inside and outside the sphere. c) If instead, the (free) surface charge density was of (0) = ao cos 0, determine the electric potential both inside and outside the sphere.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 62P: A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit...

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