Reference no: EM132802678

1) There is an insulating sphere of radius R with a charge of +3Q distributed uniformly throughout the sphere.

a. What is the charge density of the sphere? (Hint: remind yourself of the expression for the volume of a sphere).

b. What is the charge enclosed by a Gaussian surface with: Radius = (1/16)R, radius =(1/8)R, radius = (1/4)R, radius = ½(R), radius = (3/4)R

c. Plot enclosed charge as a function of radius r using the points you calculated above. d. Find an expression for the enclosed charge as a function of radius Q(r).

2) There is a conducting sphere of radius R with a charge of +3Q. For a spherical Gaussian surface just inside the sphere, what is the enclosed charge? What is the enclosed charge for a spherical Gaussian surface just outside of the sphere?