ELECTROMAGNETICS: GENERAL THEORY OF THE ELECTROMAGNETIC FIELD - CLASSICAL AND RELATIVISTIC - APPROACHES

PREFACE TO THE PRESENT EDITION

The present book titled, Electromagnetics: General theory of the electromagnetic
field. Classical and relativistic approaches, is an extended form of the previous two
editions of the books titled Electromagnetics: General theory of the electromagnetic field.
The new book, at the difference of the previous ones, contains four new appendices,
devoted to several topics, as follows: a. A study on the divergence of tensors related to
the curvature of the space-time continuum; b. The energy-momentum tensor of the
electromagnetic field in the theory of relativity; c. The Sagnac effect in The General
theory of relativity; d. A new approach to the calculation of the magnetic field strength of
a solenoid and to the introduction of magnetic quantities.
In this book, apart from some improvements, new results have been included, some of
them belonging to the author. These last ones have been presented at the ICAEM
International Conference of Applied and Engineering Mathematics, held in London the
last four years (2008-2011). The book will appear in both forms electronic and print.
The volume has been built in order to avoid the reader to resort to books of
mathematics, all mathematical developments being included in the book.
The purpose of this book has been to present in a legible manner some important
subjects of the concerned topics. At the same time, the text has been so prepared that a
reader not interested in the Special Theory of Relativity and General Theory of Relativity
could read it, avoiding the text connected with the relativistic treatment.
The book is devoted to all readers interested in these topics.

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PREFACE TO THE FIRST EDITION

In the present work the physical fundamentals of electromagnetic phenomena are
studied having in view their technical applications.
The book contains the general theory of the electromagnetic field necessary for the
study of the principal applications in the following domains: Electrostatics,
Electrokinetics, Electrodynamics and Magnetostatics.
The general theory contains the introduction (i.e., the definition) of fundamental
concepts among which: field and substance, electric charge, electric current, state
quantities of electric and magnetic fields, as well as the study of laws and energy of the
electromagnetic field.
The general theory is presented in four chapters. Further, three appendices are added.
For practical applications, the consideration of electromagnetic phenomena at a
macroscopic scale is of special interest. However, in many applications, it is necessary to
know the phenomena at a microscopic scale.
At the same time, it is useful to have in view that the physical model is, in many cases,
relatively simple in the case of a microscopic study. For this reason, in this work, the following procedure has been used: The various quantities and phenomena have been first
examined at a microscopic scale, and then, by calculating the average values, the passage
to macroscopic quantities describing the phenomena has been accomplished.
Concerning the presentation of the general laws, there are, in principle, two
possibilities:
a. The introduction of these laws directly, as a generalization of experimental facts;
b. The derivation of these laws starting from the Coulomb law and the Special Theory
of Relativity.
The Special Theory of Relativity has been used because it permits the derivation of the
equations of the theory of electromagnetic field starting from a small number of general
equations.
Appendix 3, which contains the main formulae of the Special Theory of Relativity,
and the derivation of certain relations between forces, given by the author, facilitates to
follow the calculations of Chapters 2 and 3.
Also, some relatively recent considerations on the theory of relativity have been
mentioned in Introduction.
The text has been elaborated so that all references to the special theory of relativity
may be omitted; however, in this case, the number of basic general equations that are not
derived from more general relations is greater.
The study of the mentioned domains, namely Electrostatics, Electrokinetics,
Electrodynamics, Magnetostatics, can be carried out by using the general laws of
electromagnetic field for these various cases. Certain important problems concerning the
mentioned domains are analysed in the present work.
A more detailed study of the mentioned domains can be found in several works
devoted to these subjects, including the works of the author, mentioned in Bibliography.
The system of units used in this work is the International System of Units (SI) and all
formulae are written in this rationalized system.
This work differs to some extent from many other usual textbooks and works by the
attention paid to certain subjects like the passage from the microscopic theory to the
macroscopic one, the way of using the Special Theory of Relativity, and the simplicity of
the presentation.
Certain parts of this work, especially those related to the Theory of Relativity,
represent the content of the lectures of an extra-course given by the author at the
Université Bordeaux 1 (France) in the summer semester of 2001.
The author thanks especially Doctors of Physics: Jean-Claude GIANDUZZO, Head of
the Centre of Electrical and Electronic Resources, and Jacques CURÉLY, both from the
Université Bordeaux 1 (France), for their support for the presentation of these lectures
and for their valuable comments.
At the same time, the author wishes to thank Professor Florin Teodor TĂNĂSESCU,
from the Polytechnica University of Bucharest, secretary general of the Academy of
Technical Sciences in Romania, for his valuable support and suggestions.
Finally, the author should like to gratefully thank Dr. Phys. Jacques CURÉLY, from the
Université Bordeaux 1, for the attention paid to the review of the manuscript and for his
valuable comments and suggestions.

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