The Electric Origin of Magnetic Forces Theory: General Framework

Abstract

This paper presents the first general framework to explain the magnetic force as a result of electric force interactions between current charges moving at any constant speed and combination. The explanation depends on analyzing the spreading electric field in the space and the movement of charges inside current elements. Previous work used special relativity to describe the magnetic force as an electric one, but this description contradicts the fact that electrically neutral wires stay neutral with or without current flowing through them, as well as, it does not facilitate the derivation of the infinitesimal laws of magnetism. In this paper, the provided explanation is proved by deriving the infinitesimal magnetic force law and Biot-Savart law using the basis of electric forces. This work lies at the intersection between Electrical Engineering and Physics, and it is important to understand what is magnetism and its origin. Such understanding may help engineers and scientists in making new advancements in magnetic materials and applied magnetic technologies.

Electric Model for Electromagnetic Wave Fields

“…Notice that equation ( 6) is an exact equivalent to the infinitesimal magnetic force law. The full details of this theory with its proof are provided in [25,26]. The work described in [25,26] applies the EOMF theory on constant currents and charges moving at constant speeds, but it does not apply it on varying currents and accelerating/decelerating charges.…”

“…The relationship between dl and dt is determined by the maximum hypothetical possible speed for a charge and the traveling speed for electric field changes in the space, which is the speed of light, c, i.e., dl = c dt. This relationship is used for two reasons: to have a unified analysis space that handles current elements generated by charges moving at any speed, and to satisfy the fact that a continuous current is continuously seen generated in the current element during dt from any point in the space [26]. The direction of a current element is defined by the direction of its flowing current.…”

“…This problem has been recently resolved by the Electric Origin of the Magnetic Force (EOMF) theory described in [25,26]. This theory explains the magnetic force applied on a current element in the space, referred to as the destination element, by another current element, referred to as the source element, as the net electric force applied to the destination element due to purely electric charges interaction.…”

“…This explanation has been proved by deriving the infinitesimal magnetic force law and Biot-Savart law using the basis of electric forces as specified in the electromagnetic theory. The work described in [25,26] shows how the EOMF theory is applied to magnetic fields generated by constant currents and charges moving at constant speeds, but it does not show how this theory is applied to electromagnetic waves generated by varying currents and accelerating charges. This issue is resolved in this paper.…”

Analysis and Modeling of the Forces Exerted on the Cookware in Induction Heating Applications

“…In general, an analytical model can only be obtained if the system under study presents symmetry because it allows to simplify the problem. In the case of electrical machines, some analytical models for calculating forces were proposed by applying symmetry [28]- [33]. Regarding industrial applications, analytical models were proposed in the past for obtaining the forces in elongated systems with cylindrical symmetry [34], [35].…”