Classical Physics


Effect of Magnet Geometry on the Magnetic Component of the Lorentz Force Equation

Authors: Michael Singer

All forces in the universe are created from changes in energy levels that result from changes in the separation of bodies, whether electromagnetic or otherwise. For example, two electrons separated by a finite distance will experience repulsive forces that urge them to separate further. When they are free to move this will cause them to accelerate away from each other, replacing part of the original energy levels with kinetic energy. Even when they are constrained so that they cannot move they still experience those same forces, but there is no energy exchange. Either way, for the force to exist the energy system must exist, even if only potentially. Now consider the second part of the Lorentz Force Equation, which looks at the forces experienced by an electron travelling through a fixed magnetic field. Here there is a lateral force on the electron normal to the direction of travel, and the electron’s path is deflected into a curve, with no change in energy levels. However, the existence of the force requires an energy mechanism and in this paper I set out to identify it. There are enough clues to reach a sound conclusion, such as the fact that a neutron, with a bounded electric field, is not deflected, whereas an electron, with an infinite electric field, is deflected. With the energy mechanism clearly defined, we find that the Lorentz Force Equation fails to take in an important aspect of geometry and hence if we use electron deflection measurement and this Equation as a means of determining magnetic field strength we will virtually always calculate a field strength that is lower than the actuality.

Comments: 9 Pages.

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Submission history

[v1] 2018-04-02 12:08:02
[v2] 2018-07-03 09:54:53

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