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Maxwell's Equations and the Principles of Electromagnetic Phenomena

Maxwell's Equations and the Principles of Electromagnetic Phenomena
Author: J. Felipe de Almeida
Publisher: Editora Dialética
Total Pages: 139
Release: 2021-07-06
Genre: Science
ISBN: 6581790087

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The aim of this book is to provide self-learning aids on electromagnetic theory and an introduction on computational electrodynamics. Nor, of course, is it intended to present a self-sufficient treaty on this subject. Therefore, a prior knowledge of the notions of differential and integral calculus should be accompanied in parallel to the systematic development of beginning students. Following this proposition, Maxwell's equations are solved in frequency-domain and in time-domain, through computational techniques. Thus, this material is aimed for both students starting an undergraduate degree in Engineering or Physics as well as those who are in more advanced studies on electromagnetic theory.


A Dynamical Theory of the Electromagnetic Field

A Dynamical Theory of the Electromagnetic Field
Author: James C. Maxwell
Publisher: Wipf and Stock Publishers
Total Pages: 119
Release: 1996-12-03
Genre: Religion
ISBN: 1579100155

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"We owe Clerk Maxwell the precise formulation of the space-time laws of electromagnetic fields. Imagine his own feelings when the partial differential equations he formulated spread in the form of polarized waves with the speed of light! This change in the understanding of the structure of reality is the most profound and fruitful that has come to physics since Newton."--Albert Einstein


Maxwell's Equations and the Principles of Electromagnetism

Maxwell's Equations and the Principles of Electromagnetism
Author: Richard Fitzpatrick
Publisher: Jones & Bartlett Publishers
Total Pages: 451
Release: 2008
Genre: Science
ISBN: 1934015202

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Designed for upper division electro- magnetism courses or as a reference for electrical engineers & scientists, this is an introduction to Maxwell's equations & electromagnetic waves. Further discusses electrostatics, magnetostatics, induction, etc., in the light of those equations. Discussion of vector field theory included.


Maxwell's Equations and Their Consequences

Maxwell's Equations and Their Consequences
Author: B. H. Chirgwin
Publisher: Elsevier
Total Pages: 171
Release: 2013-10-22
Genre: Science
ISBN: 1483156400

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Elementary Electromagnetic Theory Volume 3: Maxwell’s Equations and their Consequences is the third of three volumes that intend to cover electromagnetism and its potential theory. The third volume considers the implications of Maxwell's equations, such as electromagnetic radiation in simple cases, and its relation between Maxwell's equation and the Lorenz transformation. Included in this volume are chapters 11-14, which contain an in-depth discussion of the following topics: • Electromagnetic Waves • The Lorentz Invariance of Maxwell's Equation • Radiation • Motion of Charged Particles Intended to serve as an introduction to electromagnetism and potential theory, the book is for second, third, and fourth year undergraduates of physics and engineering, as they are included in their course of study. Do note that the authors assume that the readers are conversant with the basic ideas of vector analysis, including vector integral theorems.


The Principles of Electromagnetic Theory and of Relativity

The Principles of Electromagnetic Theory and of Relativity
Author: M.-A. Tonnelat
Publisher: Springer Science & Business Media
Total Pages: 481
Release: 2012-12-06
Genre: Science
ISBN: 9401035504

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The aim of this work is to study the principles upon which the classical and relativistic theories of the electromagnetic and gravitational fields are based. Thus, the primary object of the book is to present a simple exposition of Maxwell's theory, of General Relativity and of the link between those two concepts, namely, Special Relativity. In the nineteenth century the notion of a continuous field gradually replaced the idea of action at a distance. The electromagnetic theory that was elaborated at that time covers a very large area of Physics, since it makes possible the description of permanent phenomena, electrostatics and magnetostatics, as well as of variable phenomena. It anticipates the existence of waves, and thereby the theory of light is annexed to this vast domain. It was discovered that Maxwell's equations changed their form when they were related to reference systems associated with two observers in rectilinear uniform motion with respect to each other and each endowed with the absolute time required by classical mechanics. This was a most remarkable fact. Indeed, as soon as attempts were made to verify the results of classical kinematics by means of experiments with the propa gation of light, there arose a whole series of contradictions.


Principles of Electromagnetism

Principles of Electromagnetism
Author: Ophelia Burgess
Publisher: Larsen and Keller Education
Total Pages: 277
Release: 2019-06-18
Genre:
ISBN: 9781641721424

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Electromagnetism is a branch of physics that studies the fundamental interaction of electromagnetic force that arises between electrically charged particles. It studies light, electric and magnetic fields. Electricity and magnetism are different manifestations of electromagnetic phenomena and the description of each, their generation and how each is affected by the other are described by the Maxwell's equations. This book provides comprehensive insights into the field of electromagnetism. It presents this complex subject in the most comprehensible and easy to understand language. For someone with an interest and eye for detail, this textbook covers the most significant topics in the field of electromagnetism.


Classical Theory of Electric and Magnetic Fields

Classical Theory of Electric and Magnetic Fields
Author: Roland H. Good
Publisher: Academic Press
Total Pages: 654
Release: 2013-10-22
Genre: Science
ISBN: 1483272036

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Classical Theory of Electric and Magnetic Fields is a textbook on the principles of electricity and magnetism. This book discusses mathematical techniques, calculations, with examples of physical reasoning, that are generally applied in theoretical physics. This text reviews the classical theory of electric and magnetic fields, Maxwell's Equations, Lorentz Force, and Faraday's Law of Induction. The book also focuses on electrostatics and the general methods for solving electrostatic problems concerning images, inversion, complex variable, or separation of variables. The text also explains magnetostatics and compares the calculation methods of electrostatics with those of magnetostatics. The book also discusses electromagnetic wave phenomena concerning wave equations with a source term and the Maxwell equations which are linear and homogenous. The book also explains Einstein's the Special Theory of Relativity which is applicable' only to inertial coordinate systems. The text also discusses the particle aspects of electromagnetic field equations such as those concerning wave equations for particles with spin. This textbook is intended for graduate or advanced students and academicians in the field of physics.


Electromagnetic Theory

Electromagnetic Theory
Author: Stratton Julius Adams
Publisher: Read Books Ltd
Total Pages: 491
Release: 2013-04-18
Genre: Science
ISBN: 1446549151

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The pattern set nearly 70 years ago by Maxwell's Treatise on Electricity and Magnetism has had a dominant influence on almost every subsequent English and American text, persisting to the present day. The Treatise was undertaken with the intention of presenting a connected account of the entire known body of electric and magnetic phenomena from the single point of view of Faraday. Thus, it contained little or no mention of the hypotheses put forward on the Continent in earlier years by Riemann, Weber, Kirchhoff, Helmholtz, and others. It is by no means clear that the complete abandonment of these older theories was fortunate for the later development of physics. So far as the purpose of the Treatise was to disseminate the ideas of Faraday, it was undoubtedly fulfilled; as an exposition of the author's own contributions, it proved less successful. By and large, the theories and doctrines peculiar to Maxwell the concept of displacement current, the identity of light and electromagnetic vibrations appeared there in scarcely greater completeness and perhaps in a less attractive form than in the original memoirs. We find that all the first volume and a large part of the second deal with the stationary state. In fact, only a dozen pages are devoted to the general equations of the electromagnetic field, 18 to the propagation of plane waves and the electromagnetic theory of light, and a score more to magneto-optics, all out of a total of 1,000. The mathematical completeness of potential theory and the practical utility of circuit theory have influenced English and American writers in very nearly the same proportion since that day. Only the original and solitary genius of Heaviside succeeded in breaking away from this course. For an exploration of the fundamental content of Maxwell's equations one must turn again to the Continent. There the work of Hertz, Lorentz, Abraham, and Sommerfeld, together with their associates and successors, has led to a vastly deeper understanding of physical phenomena and to industrial developments of tremendous proportions. The present volume attempts a more adequate treatment of variable electromagnetic fields and the theory of wave propagation. Some attention is given to the stationary state, but for the purpose of introducing fundamental concepts under simple conditions, and always with a view to later application in the general case.


Electromagnetism And The Structure Of Matter

Electromagnetism And The Structure Of Matter
Author: Daniele Funaro
Publisher: World Scientific
Total Pages: 204
Release: 2008-06-16
Genre: Science
ISBN: 9814471054

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The classical theory of electromagnetism is entirely revised in this book by proposing a variant of Maxwell equations that allows solitonic solutions (photons). The Lagrangian is the standard one, but it is minimized on a constrained space that enforces the wave packets to follow the rules of geometrical optics. Exact solutions are explicitly shown; this opens a completely new perspective for the study of light wave phenomena. In the framework of general relativity, the equations are written in covariant form. A coupling with the metric is obtained through the Einstein equation, whose solutions are computed exactly in a lot of original situations. Finally, the explicit construction of elementary particles, consisting of rotating photons, is indicated. The results agree qualitatively and quantitatively with what it is actually observed. This opens the path to an understanding of the structure of matter and its properties, also aimed to provide a causal explanation to quantum phenomena.