Comparative strategy for obtaining the non-homogeneous wave equation of scalar and vector potential in electromagnetic theory
Keywords:
Maxwell's equations, non-homogeneous wave, scalar potential, vortexAbstract
This paper presents a comparative strategic analysis between the non-homogeneous wave of the scalar potential and the non-homogeneous wave of the vector potential, with the aim of obtaining the non-homogeneous wave equation of the scalar potential and establishing a theoretical basis for its application in energy technology. Using analysis that extends Maxwell's electromagnetic field theory to electric field vortices, the non-homogeneous wave of the scalar potential is theoretically derived. This allows for a comparison between the non-homogeneous wave of the scalar potential and that of the vector potential through the application of Gauss's law, Faraday's law, and Ampere's law in the form of Maxwell's four equations. These equations play a crucial role and are fundamental in obtaining a mathematical expression that, within the academic practice of electromagnetic theory, is known as the equation of the non-homogeneous wave of the scalar potential.
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