A sphere with radius a is centered on the origin and is held at a fixed electric potential 2 V cos * (O) where o is the azimuthal angle of spherical coordinates. Find the potential everywhere external to the sphere starting with the series solution to the Laplace equation.

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A sphere with radius a is centered on the origin and is held at a fixed electric potential
2
V cos * (O) where o is the azimuthal angle of spherical coordinates. Find the potential
everywhere external to the sphere starting with the series solution to the Laplace equation.
Transcribed Image Text:A sphere with radius a is centered on the origin and is held at a fixed electric potential 2 V cos * (O) where o is the azimuthal angle of spherical coordinates. Find the potential everywhere external to the sphere starting with the series solution to the Laplace equation.
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