Separation of Variables - Spherical Surface Charge (Part 2) Now suppose that the charge density is no longer uniform over the entire sphere. Instead, the charge density n the northern hemisphere is a uniform +00, and the charge density in the southern hemisphere is a uniform -0. Use the methods of Griffiths Section 3.3.2 (explicit separation of variables) to find the potential both nside and outside the sphere. Note: You can refer to results from problem 3., i.e. you do not need to start from scratch. n principle, your response should contain an infinite sum. However, for this problem, just calculate the first wo non-zero terms for each case (r> R and r < R).

Separation of Variables - Spherical Surface Charge (Part 2) Now suppose that the charge density is no longer uniform over the entire sphere. Instead, the charge density n the northern hemisphere is a uniform +00, and the charge density in the southern hemisphere is a uniform -0. Use the methods of Griffiths Section 3.3.2 (explicit separation of variables) to find the potential both nside and outside the sphere. Note: You can refer to results from problem 3., i.e. you do not need to start from scratch. n principle, your response should contain an infinite sum. However, for this problem, just calculate the first wo non-zero terms for each case (r> R and r < R).