Article thumbnail Capacitance of a tube

By Robert W. Scharstein


The electrostatic problem of a hollow, conducting tube of finite length held at a fixed potential is solved using two methods. A twoterm Galerkin solution is constructed for the surface distribution of induced charge. The sum of a uniform component and a simple edgecondition term provides a variational solution to the dual integral equations that are the equations-of-motion for the mixed boundary value problem. Comparisons are made with the numerical results of an independent boundary element or moment method. The numerical solution uses collocation or point matching and a piecewise constant basis for the charge density. r 2006 Elsevier B.V. All rights reserved. Keywords: Laplace’s equation; Potential; Galerkin method; Numerical analysi

Year: 2006
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