Question

A spherical distribution of charge has a volume charge density that follows this equation:

 

 and r is the distance from the center in meters, and R=1 m is the radius.

A- explain if this sphere is a conductor or a nonconductor

B- find the total charge Q within radius R

C- calculate the potential on the surface, V(R), assuming that V=0 at r= .

D- Apply Gauss law to find the electric field at a radius r=0.5 m