Motion of a charge in the magnetic field created by wires: impossibility of reaching the wires

摘要

Using a remarkable connection between pairs of first integrals of the magnetic field B and first integrals of the Newton-Lorentz equation x = x boolean AND B, it is shown that, under certain conditions, the wires creating B are unreachable for electric charges moving under the action of B. Part of these mathematical results are of interest to electrical engineers, helping to keep the power lines electrically neutral. (C) 2004 Elsevier B.V. All rights reserved.