The surface charge density on a hollow sphere of radius R is measured to be σ(0) = σ0 (3cos² (0) – 1) Draw the sphere and show where the charge density is positive and where it is negative. What is the total charge of the sphere? Find the electric potential V (r, 0) outside the sphere by using the methods described in Section 3.3. Feel free to use the equations derived in that section with proper reference. No need to solve Laplace's equation from scratch.

The surface charge density on a hollow sphere of radius R is measured to be σ(0) = σ0 (3cos² (0) – 1) Draw the sphere and show where the charge density is positive and where it is negative. What is the total charge of the sphere? Find the electric potential V (r, 0) outside the sphere by using the methods described in Section 3.3. Feel free to use the equations derived in that section with proper reference. No need to solve Laplace's equation from scratch.