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GreenFunctionMethod

# GreenFunctionMethod - Step-by-Step Green Function Method...

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Unformatted text preview: Step-by-Step Green Function Method – Dirichlet Boundaries Dr. Christopher S. Baird, Fall 2009 There are many places in this method where it is easy to make mistakes if you are not very careful with the notation. For this reason, it is recommended that you use the notation and steps defined here. (The sample problem shown below is for a real point charge Q centered over a rectangular plate held at potential V .) Steps Sample Problem Showing Proper Notation 1.Write down mathematically the charge distribution of the real problem in terms of primed coordinates x ' = Q x' y' z' − z 2. Write down mathematically the boundary surface's shape and location on which the boundary condition exists surface S is the plane at z = 3. Write down mathematically the boundary condition of the real problem in terms of primed coordinates x ' = { V if ∣ x ' ∣ a and ∣ y' ∣ b 0 if ∣ x ' ∣ a or ∣ y ' ∣ b } on S 4. Create the simpler problem's charge distribution by placing a point charge at an...
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GreenFunctionMethod - Step-by-Step Green Function Method...

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