THE POTENTIAL DUE TO A CURRENT DIPOLE IN AN INFINITE CONDUCTING SLAB
Abstract
An analysis is made of a current dipole of arbitrary orientation which is embedded in a uniform conductor bounded by infinite parallel insulating planes. The potential is considered to be the sum of the potentials of the parallel and perpendicular components into which the dipole moment is resolved. On the basis of the method of images, the potential resulting from either component is the sum of the potentials arising from 2 infinite uniformly spaced collinear arrays of dipoles. An approximation is found for the sum of a slowly converging series of positive terms so the arithmetical work is shortened and the relative error is always less than any desired number. Curves are given which indicate that the error in certain simple approximations depends on the position in the field. For the parallel component, the equipotential surface at distances greater than twice the thickness are very close to the circular cylinders which are characteristics of a linear dipole of uniform density in an unbounded conductor.
Document Details
- Document Type
- Technical Report
- Publication Date
- May 15, 1953
- Accession Number
- AD0018448
Entities
People
- Donald Foster
Organizations
- Yale University