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Maxwell's equations : Road to wave propagation theory

By: Rama, Raju, Venkateshwarla.
Contributor(s): Reddy, Dabbeta Anji.
Publisher: Hyderabad IUP Publications 2022Edition: Vol.15(1) - January.Description: 07-13p.Subject(s): Electrical Engineering In: IUP journal of electrical and electronics engineeringSummary: Maxwell's equations are exceptionally compelling and effective, as they embody and symbolize an essential aspect of Electromagnetic Field (EMF) theory. Nevertheless, Maxwell's achievement was beyond the synthesis of his four most influential equations in science, namely, Gaussian's law for electric fields, Gaussian's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law, or the addition of the displacement current term to Ampere's law which was considering these expressions (or equations) in amalgamation, through which he attained his goal of developing a comprehensive theory of electromagnetism. It is that theory which elucidated the true nature of light itself and opened the eyes of the world to the full of spectrum of electromagnetic (EM) radiation. In this paper, the road to the equation of the wave, the divergent theorem is inferred very conscientiously, and is highly significant to researchers engaged in wave equations. This study is very important to researchers engaged in generating the equation for wave and eradicating the extra-terrestrial noise, which is imperative for the field of wave propagation, and which can be applied to terrestrial propagation modeling frequency band management 2.5 GHz to 60 GHz, propagation models and designs etc. Maxwell developed the first unified theory of physics, to show that electricity and magnetism are intimately connected. Introduction Maxwell's four influential encompass electrical and physical sciences, namely, Gaussian's law for electric fields, Gaussian's law for magnetic fields, Faraday's law and the Ampere-Maxwell law (Fleisch, 2005, 2008a and 2009; and Kraus and Fleisch, 2006). In this study, readers can understand every expression or equation for integral and differential forms to the wave. It starts with the equations and finally, they are linked to generate the equation of wave for computing the complex wave and waveforms. Keywords Divergent theorem, Electric field vector, Electric permittivity of free space, Electromagnetic field (EMF), Gaussian Vector electric field, Gaussian vector magnetic field, Magnetic permeability of the free space, Maxwell's equations, Permittivity of the free space
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Maxwell's equations are exceptionally compelling and effective, as they embody and symbolize an essential aspect of Electromagnetic Field (EMF) theory. Nevertheless, Maxwell's achievement was beyond the synthesis of his four most influential equations in science, namely, Gaussian's law for electric fields, Gaussian's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law, or the addition of the displacement current term to Ampere's law which was considering these expressions (or equations) in amalgamation, through which he attained his goal of developing a comprehensive theory of electromagnetism. It is that theory which elucidated the true nature of light itself and opened the eyes of the world to the full of spectrum of electromagnetic (EM) radiation. In this paper, the road to the equation of the wave, the divergent theorem is inferred very conscientiously, and is highly significant to researchers engaged in wave equations. This study is very important to researchers engaged in generating the equation for wave and eradicating the extra-terrestrial noise, which is imperative for the field of wave propagation, and which can be applied to terrestrial propagation modeling frequency band management 2.5 GHz to 60 GHz, propagation models and designs etc. Maxwell developed the first unified theory of physics, to show that electricity and magnetism are intimately connected. Introduction

Maxwell's four influential encompass electrical and physical sciences, namely, Gaussian's law for electric fields, Gaussian's law for magnetic fields, Faraday's law and the Ampere-Maxwell law (Fleisch, 2005, 2008a and 2009; and Kraus and Fleisch, 2006). In this study, readers can understand every expression or equation for integral and differential forms to the wave. It starts with the equations and finally, they are linked to generate the equation of wave for computing the complex wave and waveforms.

Keywords

Divergent theorem, Electric field vector, Electric permittivity of free space, Electromagnetic field (EMF), Gaussian Vector electric field, Gaussian vector magnetic field, Magnetic permeability of the free space, Maxwell's equations, Permittivity of the free space

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