Consider a uniformly charged sphere with radius R and charge per unit volume (a) What i...

Consider a uniformly charged sphere with radius R and charge per unit volume (a) What is the magnitude of the electric field a distance r = R/3 from the center of the sphere? (b) Explain in words why the portion of the sphere that is more than r = R/3 from the sphere’s center does not contribute to the net electric field at r = R/3. (c) Now suppose a point charge is placed a distance r = 2R from the center of the sphere. Will this point charge change the electric field in part (a)? Explain why or why not.