The Poisson integral formula gives the potential at any point r inside a sphere if we specify
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The Poisson integral formula
gives the potential at any point r inside a sphere if we specify the potential ¯ϕ (rS) at every point on the surface of the sphere. Derive this formula by summing the general solution of Laplace’s equation inside the sphere using the derivatives (with respect to r and R) of the identity.
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The general solution of Laplaces equation inside the spher...View the full answer
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