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Full Description
Introduction to Classical Electrodynamics 1 introduces the fundamentals of electromagnetic field theory.
This book begins with electrostatics, focusing on the concepts of point charges, electric fields, electric potential and Gauss's theorem. It then examines conductors, influence phenomena and capacitors, before exploring electrokinetics, detailing the concepts of electric current, circuits and resistance, as well as Kirchhoff's laws.
Next, this book analyzes the notion of magnetic field, Lorentz and Laplace forces, Biot-Savart's law, Ampère's theorem, electric and magnetic moments, and multipole developments. Boundary problems for static potentials in vacuum are also studied.
The book is aimed at students of physics and mathematics, as well as engineering students interested in electromagnetic theory, providing an overview of electromagnetic theory, with numerous practical applications.
Contents
Preface ix
Chapter 1 Electrostatic Field in Vacuum 1
1.1 Electric charges 1
1.2 Electrostatic force 2
1.3 Electric field 12
1.4 Electric potential 28
1.5 Equipotential surfaces 35
1.6 Gauss' law 39
1.7 Electric field across a charged sheet 57
1.8 Model of the hydrogen atom 63
Chapter 2 Conductors in Electrostatic Equilibrium 67
2.1 Conductors 67
2.2 Electrostatic equilibrium 68
2.3 Electrostatic pressure 74
2.4 Influence between conductors at electrostatic equilibrium 77
2.5 Capacitors 88
2.6 Energy stored in a capacitor 106
2.7 Forces of attraction between the armatures of a capacitor 109
Chapter 3 Electrokinetics 117
3.1 Conduction in solids 117
3.2 Current density and intensity 118
3.3 Conservation of charge 124
3.4 Kirchhoff's first law and approximation of quasi-stationary regimes 126
3.5 Conduction model for charged gas 127
3.6 Resistance 136
3.7 Direct current circuits 143
3.8 Relaxation time 161
3.9 Earth atmosphere as a spherical capacitor 170
3.10 Space charge 172
Chapter 4 Magnetic Field in Vacuum 179
4.1 Force on a mobile charge 179
4.2 Magnetic field, Biot and Savart law 187
4.3 Conservation of magnetic flux 202
4.4 Laplace force 204
4.5 Ampère's theorem 212
4.6 Magnetic field continuity at a sheet interface 220
4.7 Potential vector 222
4.8 Magnetic scalar potential 235
Chapter 5 Electric and Magnetic Moments 239
5.1 Electric dipole 239
5.2 Electric multipole moments 245
5.3 Magnetic dipole moment 261
Chapter 6 Boundary Problems for Static Potentials in Vacuum 275
6.1 Introduction 275
6.2 1D Laplace equation 277
6.3 2D Laplace equation 278
6.4 3D Laplace equation 351
References 371
Index 377
