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Ampère’s Circuital Law and Displacement Current

Author:

Tombe, Frederick David

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

December 12, 2022

File:

/Research Papers-Mechanics / Electrodynamics/Download/7872

Downloads:

341

Keywords:

Maxwell's displacement current, aether, vortices, electromagnetism, electromagnetic radiation, electromagnetic wave equation, displacement current, wireless telegraphy, magnetization, linear polarization, electron-positron aether

Abstract:

Ampère’s Circuital Law is the most controversial of Maxwell’s equations due to its association with displacement current. The controversy centres around the fact that Maxwell’s entire physical basis for introducing the concept of displacement current in the first place, was the existence of a dense sea of molecular vortices pervading all of space. The modern-day physical parameter known as the electric permittivity, ε, being reciprocally related to the dielectric constant, is historically rooted in the elasticity of this medium. Indeed, the dielectric constant served as the vehicle through which the speed of light was imported into the analysis from the 1855 Weber-Kohlrausch experiment, yet the medium itself has since been totally eliminated from the textbooks. In order to understand how the omission of Maxwell’s vortex sea has impacted upon electromagnetic theory, this article will take a close examination of both the Biot-Savart Law and Ampère’s Circuital Law.