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...

Full description

Saved in:
Bibliographic Details
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
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.2800355