Final answer:
The problem involves finding the electric field due to a spherical shell with a non-uniform charge distribution by using Gauss's law and integrating the charge density over the volume enclosed by a Gaussian surface.
Step-by-step explanation:
The question pertains to calculating the electric field due to a non-uniform charge distribution in a spherical shell. The volume charge density is given by p = Pori/r, and we are asked to find the electric field as a function of r, the distance from the center of the shell. The solution to this problem involves integrating over the volume using a Gaussian surface, which takes advantage of the spherical symmetry of the problem.
To solve for the electric field inside and outside the spherical shell, we would typically apply Gauss's law. For this non-uniformly charged sphere, the charge enclosed by a Gaussian surface of radius r (where r can be either inside or outside the spherical shell) is determined by integrating the charge density over the volume inside the Gaussian surface. The process involves setting up an integral for the charge density over the spherical volume and solving for the electric field using the relation derived from Gauss's law.