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Maxwell's Displacement Current in the Two Gauges

Author:

Tombe, Frederick David

Category:

Research Papers

Sub-Category:

Mechanics / Electrodynamics

Language:

English

Date Published:

February 03, 2024

File:

/Research Papers-Mechanics / Electrodynamics/Download/9140

Downloads:

205

Keywords:

displacement current, James Clerk Maxwell, vortices, electron-positron sea, Maxwell's equations, aether, Ampère’s Circuital Law, Coulomb Gauge, Lorenz Gauge, rotating electron-positron dipoles, luminiferous medium, speed of light

Abstract:

Displacement current was originally conceived by James Clerk Maxwell in 1861 in connection with linear polarization in a dielectric solid which he believed to pervade all of space. Modern textbooks, however, adopt a different approach. The official teaching today is that displacement current is a consequence of extending the original solenoidal Ampère’s Circuital Law to embrace the conservation of electric charge. Yet, unless either of these two methods leads to a displacement current that is related to Faraday’s Law of Induction, then it cannot serve its main purpose, which is to provide a connecting bridge between Ampère’s Circuital Law and Faraday’s Law, hence enabling the derivation of the electromagnetic wave equations. This matter will be investigated in both the Lorenz gauge and the Coulomb gauge.