The geometrical nature and some properties of the capacitance coefficients based on Laplace's Equation

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dc.creatorHerrera, William J.
dc.creatorDiaz, Rodolfo A.
dc.date2007-02-28
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:54:05Z
dc.date.available2026-07-07T08:54:05Z
dc.descriptionThe fact that the capacitance coefficients for a set of conductors are geometrical factors is derived in most electricity and magnetism textbooks. We present an alternative derivation based on Laplace's equation that is accessible for an intermediate course on electricity and magnetism. The properties of Laplace's equation permits to prove many properties of the capacitance matrix. Some examples are given to illustrate the usefulness of such properties.
dc.description6 pages, 2 figures, 1 table, 2 appendices, examples corrected, minor changes in wording. Version to appear in American Journal of Physics
dc.identifierhttps://arxiv.org/abs/physics/0702253
dc.identifierhttp://arxiv.org/abs/physics/0702253
dc.identifierAm. J. Phys. 76 (1) p. 55-59 (2008)
dc.identifierdoi:10.1119/1.2800355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145803
dc.subjectClassical Physics
dc.subjectPhysics Education
dc.titleThe geometrical nature and some properties of the capacitance coefficients based on Laplace's Equation
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