A thick spherical shell with an inner radius a and outer radius b is made of dielectric material and has a polarization P(R) = âg. k is a constant and r is the distance from the center. a. Find the volume charge density caused by the polarization and surface charge density caused by the polarization. Find the total charge in the spherical shell. b. Find the electric field as a function of radius. c. Find the electric displacement D - using generalized Gauss law - as a function of radius. Find the electric field Ē from the D. (Hint: There are no free charges in the system)

A thick spherical shell with an inner radius a and outer radius b is made of dielectric material and has a polarization P(R) = âg. k is a constant and r is the distance from the center. a. Find the volume charge density caused by the polarization and surface charge density caused by the polarization. Find the total charge in the spherical shell. b. Find the electric field as a function of radius. c. Find the electric displacement D - using generalized Gauss law - as a function of radius. Find the electric field Ē from the D. (Hint: There are no free charges in the system)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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