Chirgwin / Plumpton / Kilmister Magnetic Fields, Special Relativity and Potential Theory

Elementary Electromagnetic Theory
1. Auflage 2013
ISBN: 978-1-4831-3931-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 252 Seiten, Web PDF

Magnetic Fields, Special Relativity and Potential Theory is an introduction to electromagnetism, special relativity, and potential theory, with emphasis on the magnetic field of steady currents (magnetostatics). Topics covered range from the origin of the magnetic field and the magnetostatic scalar potential to magnetization, electromagnetic induction and magnetic energy, and the displacement current and Maxwell's equations. This volume is comprised of five chapters and begins with an overview of magnetostatics, followed by a chapter on the methods of solving potential problems drawn from electrostatics, magnetism, current flow, and gravitation. Relaxing the constraint of stationary steady currents, the next chapter considers electromagnetic induction when the current strengths in closed circuits vary or when the circuits move. This leads to the necessity of assessing the breakdown of Newtonian ideas and the introduction of special relativity. When the constraint of closed circuits is further relaxed and the motion of charges in open circuits is taken into account, the discussion turns to displacement current because of the relativistic theory already set up, leading to Maxwell's equations. This book will be a valuable resource for undergraduate students of physics.

Autoren/Hrsg.

Chirgwin, B. H.

Plumpton, C.

Kilmister, C. W.

Inhaltsverzeichnis

1;Front Cover;1
2;Magnetic Fields, Special Relativity and Potential Theory;4
3;Copyright Page ;5
4;Table of Contents;6
5;PREFACE TO VOLUME 2;8
6;Chapter 6. Magnetostatics;10
6.1;6.1 Introduction;10
6.2;6.2 Origin of the magnetic field;11
6.3;6.3 The magnetic displacement vector;16
6.4;6.4 Boundary conditions;29
6.5;6.5 The magnetostatic scalar potential;34
6.6;6.6 Small magnets;37
6.7;6.7 Inductance;42
7;Chapter 7. Magnetization;56
7.1;7.1 Permanent magnets;56
7.2;7.2 Permeable media;68
7.3;7.3 Induced magnetization;69
7.4;7.4 Hysteresis;71
8;Chapter 8. Potential Problems;76
8.1;8.1 Fundamental theorems and techniques;76
8.2;8.2 The method of images;83
8.3;8.3 Three-dimensional problems with axial symmetry;97
8.4;8.4 Two-dimensional problems;111
8.5;8.5 Gravitation;129
9;Chapter 9 . Electromagnetic Induction and Magnetic Energy;145
9.1;9.1 Faraday's and Neumann's Law;145
9.2;9.2 Observers in motion: the Lorentz transformation;149
9.3;9.3 The Lorentz transformation of field quantities;164
9.4;9.4 The Lorentz force on a moving charge;169
9.5;9.5 Non-steady currents;178
9.6;9.6 Initial conditions: switching;187
9.7;9.7 Quasi-steady currents;200
9.8;9.8 Magnetic energy and forces;212
9.9;9.9 Dissipation of energy by quasi-steady currents;219
10;Chapter 10. The Displacement Current and Maxwell's Equations;230
10.1;10.1 The displacement current;230
10.2;10.2 Electromagnetic radiation;232
10.3;10.3 Boundary conditions at discontinuities;234
10.4;10.4 Poynting's vector;238
10.5;10.5 Maxwell's stress tensor and electromagnetic momentum;243
11;ANSWERS TO THE EXERCISES;248
12;INDEX;252