L30.3 Separation of variables - spherical polar coordinates - Example 3.9

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Example 3.9
A specified charge density σ(0) is glued over the surface of a spherical shell of radius R. Find the resulting potential inside and outside the sphere.
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In this detailed tutorial, we solve Example 3.9 from DJ Griffiths' Electrodynamics textbook, focusing on the solution methodology for a spherical shell charge distribution problem. The scenario involves a specified charge density σ(0) distributed across the surface of a spherical shell with radius R. Step by step, we explore the application of separation of variables in spherical polar coordinates to determine the resulting potential both inside and outside the sphere. Follow along as we break down the problem, providing clear explanations and insightful insights into the principles of electrodynamics. Whether you're a student, researcher, or enthusiast in the field, this example offers valuable insights into complex charge distribution problems.
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