The geometrical nature and some properties of the capacitance coefficients based on Laplace’s equation

The 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 to students in an intermediate course on electricity and magnetism. T...

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Published in:American journal of physics 2008-01, Vol.76 (1), p.55-59
Main Authors: Herrera, William J., Diaz, Rodolfo A.
Format: Article
Language:English
Subjects:
Electricity
Laplace transforms
Magnetism
Physics
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description The 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 to students in an intermediate course on electricity and magnetism. The properties of Laplace’s equation permits us to determine many properties of the capacitance matrix. Some examples are given to illustrate the usefulness of these properties.
doi_str_mv 10.1119/1.2800355
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ispartof American journal of physics, 2008-01, Vol.76 (1), p.55-59
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source American Institute of Physics:Jisc Collections:Transitional Journals Agreement 2021-23 (Reading list)
subjects Electricity
Laplace transforms
Magnetism
Physics
title The geometrical nature and some properties of the capacitance coefficients based on Laplace’s equation
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