Table of Contents
Physics Research International
Volume 2013 (2013), Article ID 292834, 5 pages
Research Article

On the Divergenceless Property of the Magnetic Induction Field

1Centro Interforze Studi per le Applicazioni Militari (CISAM), Via Bigattiera Lato Monte 10, San Piero a Grado, 56122 Pisa, Italy
2Istituto Nazionale di Geofisica e Vulcanologia (INGV), Via di Vigna Murata 605, 00143 Rome, Italy

Received 12 December 2012; Accepted 19 January 2013

Academic Editor: Harold Zandvliet

Copyright © 2013 Sergio Severini and Alessandro Settimi. 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.


Maxwell's equations beautifully describe the electromagnetic fields properties. In what follows we will be interested in giving a new perspective to divergence-free Maxwell’s equations regarding the magnetic induction field: . To this end we will consider some physical aspects of a system consisting of massive nonrelativistic charged particles, as sources of an electromagnetic field (e.m.) propagating in free space. In particular the link between conservation of total momentum and divergence-free condition for the magnetic induction field will be deeply investigated. This study presents a new context in which the necessary condition for the divergence-free property of the magnetic induction field in the whole space, known as solenoidality condition, directly comes from the conservation of total momentum for the system, that is, sources and field. This work, in general, leads to results that leave some open questions on the existence, or at least the observability, of magnetic monopoles, theoretically plausible only under suitable symmetry assumptions as we will show.