An Easy Approach to Numerical Computation of Spherical Shell Capacitance Using Finite Difference Method

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An explicit finite difference (FD) numerical technique for solving Laplace’s equation in spherical coordinates for an axially symmetric geometry has been developed. Consequently, the FD results were used to compute the capacitance of a spherical shell in a way that is easy to understand. This was achieved using the Dirichlet boundary conditions (specified voltages) on spherical surfaces. The capacitance results obtained were compared with those obtained using analytical method and they did agree
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Spherical Coordinates; Shell Capacitance; Finite Difference; Laplace’s Equation; Scale Factor

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