Abstract
Weber's electrodynamics, as an alternative to classical electromagnetic field theory, can successfully explain many electromagnetic phenomena. However, the Weber's electrodynamics involves integrating interactions among electric particles for each application, which can be sometimes very tedious. In this study, we try to develop an electric field theory, which sums the contribution of each particle as a field, and then apply this field to the particle of interest. This way, the application of Weber's electrodynamics is greatly simplified.
Highlights
Physicists simplified it, and they became four well- Besides classical electromagnetic field theory, known equations, including Gauss's law, Gaussian Weber’s electrodynamics was introduced in similar magnetic law, Faraday's law of induction, and time [5], which is much less known in the physics
The results of this paper indicate that the new electric field theory can be equivalent to classic electromagnetic theory in some special cases
This article presents a new theory of the electric field, which is derived from Weber’s electrodynamics
Summary
More than a century ago, physicists proposed a series of theories and equations regarding electromagnetic phenomena, such as Coulomb's law, Ohm's law, Ampere's law, and Faraday's law of electromagnetic induction, etc. DBik from the current segment is derived from equation (9) We integrate it along the current circle, we get Bik. For a charge q at point A with velocity wi and acceleration wi , the force exerted on it can be calculated with equation (8). For a charge q at point A with velocity wi and acceleration wi , the force exerted on it can be calculated with equation (8) This force is consistent with the Lorentz force of the magnetic field that can be derived from the classical magnetic theory. Let’s calculate the electric field contributed by moving negative charges We integrate it along the x-axis, with some math we get Bik. For a charge q at point A with velocity ui and acceleration wi , the force exerted on it can be calculated with equation (8). The second term is unique to Weber’s electrodynamics, comparing to the classical magnetic theory without introducing special relativity
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