Title

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

Document Type

Article

Publication Date

4-2009

Publication Source

International Review on Modelling and Simulations (IREMOS)

Volume

2

Issue

2

Inclusive pages

196-200

Publisher

Praise Worthy Prize

Place of Publication

Naples, Italy

ISBN/ISSN

19749821

Peer Reviewed

yes

Abstract

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

Keywords

Spherical Coordinates; Shell Capacitance; Finite Difference; Laplace’s Equation; Scale Factor

Disciplines

Electrical and Computer Engineering

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