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Authors: Severini, S.* 
Settimi, A.* 
Title: Solenoidality of a magnetic induction field and conservation of total momentum
Issue Date: 26-Sep-2011
Keywords: Classical electromagnetism
Maxwell equations
Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems
Electric and magnetic moments
Symmetry and conservation laws
Momentum conservation
Subject Classification05. General::05.03. Educational, History of Science, Public Issues::05.03.99. General or miscellaneous 
Abstract: The present comunication discusses the physical aspects of a system of non-relativistic massive charge particles moving within an electromagnetic field (e.m.), which propagates through the entire space. The role of total momentum conservation on the solenoidality of a magnetic induction field is demonstrated. After a careful review of all the more widely sustained didactic justifications for the solenoidality of magnetic induction, some properties of the Maxwell stress tensor are defined according to Minkowsky. This comunication presents a new framework wherein the necessary condition for the free-divergence of induction derives directly from the total momentum conservation of the system, i.e. particles and field.
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