Solid Nonconducting Sphere Worksheet

Overview

A solid nonconducting sphere of radius 12.0 𝑐𝑚 is made of two layers. The innermost section has a radius of 6.0 𝑐𝑚 and a uniform charge density of −4.0 𝐶/𝑚3 . The outer layer has a uniform charge density of +9.0 𝐶/𝑚3 . Determine the electric field for

a) 0 < 𝑟 < 6.0 𝑐𝑚

b) 6.0 𝑐𝑚 < 𝑟 < 12.0 𝑐𝑚

c) 12.0 𝑐𝑚 < 𝑟 < 50.0 𝑐𝑚

d) Plot the electric field for 0 < 𝑟 < 50.0 𝑐𝑚. Is the field continuous at the edges of the layers?