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Potential Errors in the Lorentz Force Equation for Moving Charged Particles in Magnetic Fields

Michael A. Singer

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Abstract

All forces in the universe are created from potential changes in energy levels. Even when particles are constrained so that they cannot expend the energy giving rise to those forces they still experience them; for the force to exist the energy system creating it must exist. We examine the second part of the Lorentz Force Equation, which looks at the forces experienced by a charged particle travelling through a fixed magnetic field. Here there is a transverse force on the electron normal to the direction of travel, and the electron’s path is deflected into a curve, with no expenditure of energy. However, the existence of this force requires an energy mechanism. This paper analyses the energy system behind this force and shows that there is a dependency on magnetic geometry that has been neglected.

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What this paper is about

All forces in the universe are created from potential changes in energy levels. Even when particles are constrained so that they cannot expend the energy giving rise to those forces they still experience them; for the force to exist the energy system creating it must exist. We examine the second part of the Lorentz Force Equation, which looks at the forces experienced by a charged particle travelling through a fixed magnetic field. Here there is a transverse force on the electron normal to the direction of travel, and the electron’s path is deflected into a curve, with no expenditure of energy. However, the existence of this force requires an energy mechanism. This paper analyses the energy system behind this force and shows that there is a dependency on magnetic geometry that has been neglected.

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Available abstract

All forces in the universe are created from potential changes in energy levels. Even when particles are constrained so that they cannot expend the energy giving rise to those forces they still experience them; for the force to exist the energy system creating it must exist. We examine the second part of the Lorentz Force Equation, which looks at the forces experienced by a charged particle travelling through a fixed magnetic field. Here there is a transverse force on the electron normal to the direction of travel, and the electron’s path is deflected into a curve, with no expenditure of energy. However, the existence of this force requires an energy mechanism. This paper analyses the energy system behind this force and shows that there is a dependency on magnetic geometry that has been neglected.

Key concepts: Lorentz force, Physics, Classical mechanics, Magnetic field, Conservative force, Lorentz transformation, Electron, Force field (fiction)

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