1989E1. A negative charge - Q is uniformly distributed throughout the spherical volume of radius R shown above. A positive point charge +Q is at the center of the sphere. Determine each of the following in terms of the quantities given and fundamental constants.
a. The electric field E outside the sphere at a distance r>R from the center
b. The electric potential V outside the sphere at a distance r>R from the center
c. The electric field inside the sphere at a distance r<R from the center
d. The electric potential inside the sphere at a distance r<R from the center