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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).

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Please provide a clear and concise solution as I am desperate to understand. Find first two non-zero terms. 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 in 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 inside and outside the sphere. Note: You can refer to results from problem 3., i.e. you do not need to start from scratch. In principle, your response should contain an infinite sum. However, for this problem, just calculate the first two non-zero terms for each case (r> R and r < R).
Transcribed Image Text:Please provide a clear and concise solution as I am desperate to understand. Find first two non-zero terms. 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 in 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 inside and outside the sphere. Note: You can refer to results from problem 3., i.e. you do not need to start from scratch. In principle, your response should contain an infinite sum. However, for this problem, just calculate the first two non-zero terms for each case (r> R and r < R).
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