Electric field of a spherical cap

AI Thread Summary
The discussion focuses on calculating the electric field generated by a uniformly charged spherical cap, specifically seeking the potential inside the sphere. The original poster expresses uncertainty about the process and requests guidance on the necessary integral to solve the problem. A reference to a solution involving Legendre polynomials is provided, indicating their relevance in representing the solution. Participants may share insights or methods to approach the calculation. Understanding the use of Legendre polynomials is essential for solving the electric potential in this context.
Gavroy
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Hi

I am looking for the electric field caused by a uniformly charged spherical cap.
Actually, I need only the potential inside the sphere. Is there anybody who knows how to do this. Frankly, I do not have a clue. Or could somebody at least give me integral, that I have to solve?
 
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You can find the solution here: http://faculty.uml.edu/cbaird/all_homework_solutions/Jackson_3_2_Homework_Solution.pdf . Apparently one needs Legendre polynomials to represent the solution.
 

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