Electromagnetics. General Theory of the Electromagnetic Field. Second Edition, Revised and Augmented.
Autor: Andrei Nicolaide
Editura: Transilvania University Press Brasov
Format: 18x25 cm
Nr. pagini: 330
Coperta: brosata
ISBN: 978-973-598-542-4
Anul aparitiei: 2009
REVIEWERS:
Jaques Curely - Centre de Physique Moleculaire Optique et Hertzienne (CPMOH), Universite Bordeaux 1 - CNRS, France
Dan Bidian - Department of Electrotechnics, Faculty of Electrical Engineering and Computer Science, Transilvania University of Brasov
CONTENTS:
Preface 5
Contents 7
List of symbols 15
Introduction 23
1. GENERALITIES ON THE THEORY OF THE ELECTROMAGNETIC FIELD AND ON THE STRUCTURE OF SUBSTANCE 31
1.1. Field and Substances 31
1.2. Lines of Field. Tubes of Lines of Field. Equipotential Surfaces. Fluxes. 32
1.3. Physical Quantities. Laws and Theorems 36
1.4. Manners of Studying the Theory of the Electromagnetic Field 38
1.5. General Considerations on the Structure of Conductors and Dielectrics 42
1.6. Electric Charge. Electric Field Strength in Vacuo 44
1.7. Electric Field Strength in the Large Sense 52
1.8. Line Integral (Circulation) of the Electric Field Strength along an Arc of Curve. Electric Potential Difference. Electric Tension, Voltage. Electromotive Force. 54
1.9. Polarization of Dielectrics 56
1.10. The Electric Current 68
1.11. Law of Free (True) Electric Charge Conservation 80
1.12. The Law of Electric Conduction. The Local Form. 83
1.13. The Electric Field Strength of Electric Charges in Vacuo. Electric Constant (Electric Permittivity of Vacuum) 85
1.14. The Electric Flux Law in Vacuo 89
1.15. The SI Units of: Electric Charge, Electric Moment, Electric Tension, Electric Field Strength, Electric Current 93
2. INTRODUCTION OF THE STATE QUANTITIES OF THE ELECTROMAGNETIC FIELD IN VACUO 97
2.1. The Law of the Ponderomotive Action upon a Point-like Electric Charge at Rest in an Inertial Reference Frame 97
2.2. Derivation of the Expression of the Law of Ponderomotive Action upon a Point-like Charge That is Moving Relatively to an Inertial Reference Frame 98
2.3. The Transformation Expression (When Passing from an Inertial System to Another) of the Force in the Special Theory of Relativity 99
2.4. The Expressions of the Force and Electric Field Strength in Various Reference Frames. Electric Displacement in Vacuo and Magnetic Induction in Vacuo. Magnetic Constant (Magnetic Permeability of Vacuum) 105
2.5. General Expressions of the Force Acting upon a Point-like Electric Charge in Motion Relatively to an Inertial Reference Frame. Introduction (Definition) of the Quantities: Electric Field Strength E and Magnetic Induction B 109
2.6. The Magnetic Field 112
2.7. Transformation Relation of the Volume Density of the Free (True) Electric Charge 113
2.8. The Expressions of the Magnetic Field Strength Produced at a Point by a Moving Electric Charge or an Electric Current in Vacuo. The Biot-Savart-Laplace Formula 114
3. THE LAWS OF THE ELECTROMAGNETIC FIELD 117
3.1. The Law of Electric Flux 117
3.2. The Relation between the Electric Displacement, Electric Field Strength and Electric Polarization 122
3.3. The Law of Temporary Electric Polarization 123
3.4. The Law of Magnetic Flux 125
3.5. The Law of Electromagnetic Induction for Media at Rest 131
3.6. The Law of Magnetic Circuit (Magnetic Circuital Law) for Media at Rest 136
3.7. The Relationship between Magnetic Induction, Magnetic Field Strength and Magnetic Polarization 147
3.8. The Law of Temporary Magnetization 147
3.9. Derivation of the Fundamental Equations of the Electromagnetic Field Theory in the General Case. Maxwell Equations 150
3.10. Relations between the State Quantities of the Electromagnetic Field in Various Inertial Reference Frames 151
3.11. Expressions of the Laws of the Electromagnetic Induction and Magnetic Circuit for Moving Media 153
3.12. The Relations between the Components of the State Quantities of Electromagnetic Field in the Case of Dicontinuity Surfaces 155
3.13. The SI Units of Measure of Electric and magnetic Quantities: Electric Flux, Electric Displacement, Electric Resistivity, Magnetic Flux, Magnetic Induction, Magnetic Field Strength 165
3.14. The Laws of the Electromagnetic Field in the Case of Existence of Magnetic Monopoles 168
3.15. Application of the Biot-Savart-Laplace Formula to the Calculation of the Magnetic Field Strength 170
3.16. Application of Both Forms of the Law of Electromagnetic Induction for Media at Rest and in Motion 174
3.17. Electrodynamic Potentials 178
3.18. The Scalar and Vector Electrodynamic Potentials Produced by One Electric Charge Moving at Constant Velocity 180
3.19. The Scalar and Vector Electrodynamic Potentials Produced by One Point-like Electric Charge Moving at Non-constant Velocity 183
4. THE ENERGY OF THE ELECTROMAGNETIC FIELD 189
4.1. The Expressions of the Energy of the Electromagnetic Field. Poynting Vector 189
4.2. The Theorem of Irreversible Transformation of Electromagnetic Energy in the Case of Hysteresis Phenomenon 195
4.3. The Theorem of Irreversible Transformation of Electromagnetic Energy Into Heat 195
4.4. The Theorem of Electromagnetic Momentum 196
APPENDICES 203
Appendix 1. Vector Calculus 205
Appendix 2. Expressions of the Differential Operators in Curvilinear Co-ordinates 239
Appendix 3. General Relations Deduced From the Special Theory of Relativity 247
Appendix 4. Deducing the General Relations of the Special Theory of Relativity 273
Appendix 5. The Equations of the Electromagnetic Field in the General Theory of Relativity 283
Appendix 6. Tensor Calculus 295
Bibliography 319
Subject index 323