Consider two metal concentric spherical shells of radii R₁ and R2. The inner shell is kept at an electric potential V₁, the outer shell - at V2. Solve Laplace's equation and find the electric potential V (r) inside the inner shell (r < R₁), in the region between the shells, and outside the outer shell (r > R₂). Use the Laplacian in spherical coordinates to solve this problem.
Consider two metal concentric spherical shells of radii R₁ and R2. The inner shell is kept at an electric potential V₁, the outer shell - at V2. Solve Laplace's equation and find the electric potential V (r) inside the inner shell (r < R₁), in the region between the shells, and outside the outer shell (r > R₂). Use the Laplacian in spherical coordinates to solve this problem.
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