Question

A solid insulating sphere of radius R = 1.0 m that carries a positive charge Q1 = 1.0 mC uniformly distributed over it is concentric with a very thin insulating shell of radius 2R that carries the charge Q2 = -1.0 mC. The charge Q2 is distributed uniformly over the shell.
Use Gauss's law to obtain the magnitude of the electric field:

a. E1 inside the sphere, r < R

b. E2 between the sphere and the shell, R < r < 2R

c. E3 outside the shell, r > 2R

d. Plot the electric field in the radial direction on a graph. Be sure to label the actual magnitude of the electric field at r = 0, r= R, and r = 2R.

Answer 1

Answer: see attach file

Explanation: In order to solve this problem we have used the Gaussian law in the different regions. Details are included in the attach.