Physical Separation in Science and Engineering

Physical Separation in Science and Engineering / 1998 / Article

Open Access

Volume 9 |Article ID 079537 | https://doi.org/10.1155/1998/79537

Kar W. Yung, Peter B. Landecker, Daniel D. Villani, "An Analytic Solution for the Force Between Two Magnetic Dipoles", Physical Separation in Science and Engineering, vol. 9, Article ID 079537, 14 pages, 1998. https://doi.org/10.1155/1998/79537

An Analytic Solution for the Force Between Two Magnetic Dipoles

Received07 Feb 1997
Accepted30 Apr 1998

Abstract

An analytic equation describing the force between two magnetic dipoles is derived in this paper. We assumed that the dipole sizes are small compared to their separation. A Taylor expansion for the first non-zero term was performed in order to derive the magnetic force analytic expression. Vector differential and path integral derivation approaches are used, and the same result is achieved with both methods. This force decreases with the fourth power of the distance between the dipoles. Accuracy estimates due to the Taylor approximation are given.

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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