Electromagnetism : links to special relativity / Christian Gontrand.

Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1. Magnetic Field -- 1.1. Overview of history -- 1.2. Magnetic fields and magnetic forces -- 1.2.1. First experiments -- 1.2.2. Topography: invariances and symmetries -- 1.3. Magnetic fields created by currents -- 1.3.1. Magnetic field created by a volume current distribution -- 1.3.2. Magnetic field created by a surface current distribution or by a filiform current element -- 1.4. Biot-Savart experiment -- 1.5. From field B to vector potential A -- 1.6. Symmetry and invariance properties of the magnetic field related to the symmetry and invariances of the current distribution -- 1.6.1. Distribution of currents having a plane of symmetry -- 1.6.2. Current distribution and anti-symmetry plane -- 1.6.3. Invariance -- 1.7. Calculation of the magnetic field (principle of) -- 1.7.1. Examples of field calculations -- 1.8. Circulation properties of B. Ampere's theorem -- 1.8.1. Integral form of Ampere's theorem -- 1.8.2. Local form of Ampere's theorem -- 1.9. Magnetic field flux conservation -- vector potential -- 1.9.1. Local relationship -- 1.9.2. Integral relationship -- magnetic flux -- 1.9.3. Potential vector of the magnetic field -- 1.10. Transit relationships -- 1.10.1. Circulation property of B. Discontinuity of the tangential component of B -- 1.10.2. Flow property of B. Continuity of the normal component of B -- Chapter 2. Magnetic Forces and their Work -- 2.1. Introduction: Academy of Sciences -- 2.2. Action of a magnetic field on a circuit through which a current flows -- 2.2.1. Ampere/Laplace force -- 2.3. Current in a conductor subjected to an electromagnetic field -- 2.3.1. Examples: action of a rectilinear wire, through which a current flows on another rectilinear wire -- 2.4. Local Ohm's law -- 2.5. Hall effect -- 2.5.1. Hall effect applications (Figure 2.9)

2.6. Ampere/Laplace magnetic forces on a conductor (Figures 2.10 and 2.11) -- 2.6.1. Ampere definition -- 2.7. Work of electromagnetic forces -- 2.7.1. Cut-off flow theorem -- 2.7.2. Case of a closed circuit through which a constant current I flows: Maxwell's theorem -- 2.8. Application to the study of torsor of magnetic forces exerted by an invariable field on a rigid circuit -- 2.9. Potential energy -- 2.9.1. Case of a transverse displacement -- 2.9.2. Case of a rotation -- 2.10. Example: flux of a turn in a magnetic field -- 2.10.1. Turn in a transverse displacement -- 2.10.2. Turn in rotation -- 2.11. Potential energy of interaction with a magnetic field: magnetic dipole -- 2.11.1. Magnetic force and moment acting on the loop -- 2.12. Electrostatic/magnetostatic analogy -- Chapter 3. Magnetic Media -- 3.1. Introduction: orbital and spin magnetic moments -- 3.2. Experimental studies -- 3.3. Microscopic origins of magnetism: basic concepts -- 3.3.1. Diamagnetism -- 3.3.2. Paramagnetism -- 3.3.3. Ferromagnetism -- 3.4. Macroscopic appearance -- magnetization intensity -- 3.4.1. Diamagnetic and paramagnetic materials -- 3.5. Determining the magnetic field created by a magnetized medium -- 3.5.1. Vector potential of a closed circuit, at a point in the vacuum -- 3.6. Macroscopic aspects -- magnetization currents -- 3.6.1. Total magnetic field in the presence of magnetic media -- 3.6.2. General equations of magnetostatics in the presence of magnetized media -- 3.7. Generalized Ampere's theorem: magnetic excitation -- 3.7.1. Transit relationships -- 3.8. Perfect magnetic media or HLI media -- homogeneous, linear, isotropic (Figure 3.21) -- 3.8.1. Definition -- 3.9. Magnetic field equations for perfect materials and vacuum -- 3.9.1. Hysteresis loop -- 3.9.2. Applications -- Chapter 4. Induction -- 4.1. Introduction: variable regimes.

4.2. Properties of electrical induction and magnetic field -- 4.3. Phenomenon of electromagnetic induction -- 4.3.1. Faraday-Lenz law -- 4.3.2. Terminology and classification of induction phenomena -- 4.3.3. Static or Neumann induction and motional or Lorentz induction -- 4.3.4. Motional or Lorentz induction -- 4.4. Different inductions -- 4.4.1. Auto-induction electromotive force -- 4.4.2. Mutual inductance -- coupling coefficient -- 4.5. Applications -- 4.6. Electromechanical conversion -- moving bar in a uniform B-field -- 4.6.1. We place ourselves in the laboratory repository -- 4.6.2. We place ourselves in the frame of reference to the bar -- 4.7. Vector potential and quantum mechanics -- 4.8. Appendix: another example of an induction problem -- 4.8.1. Coil with tube-shaped conductive core -- Chapter 5. Propagation: Special Relativity -- 5.1. Introduction -- 5.1.1. Potential of a moving charge: general solution by Lienard and Wiercherts -- 5.1.2. Spherical waves -- 5.2. Light and electromagnetic waves -- 5.2.1. Spherical wave from a point source -- 5.2.2. Paradox of advanced actions -- 5.3. Relativity -- 5.3.1. Galileo's relativity -- 5.3.2. Special relativity -- 5.3.3. Charges in motion: from "Coulomb" to "Ampere" -- 5.3.4. Note on Lorentz equations -- Conclusion -- Appendices -- Appendix 1. Ampere/Laplace Magnetic Actions Undergone by a Current Loop Placed in an External Magnetic Field -- Appendix 2. Magnetostatic Potential Energy of a Current System (Perfect Media) -- Appendix 3. Operator Expressions in Cartesian Coordinates -- Appendix 4. Some Key Players in Electromagnetism and Special Relativity -- References -- Index -- EULA.

This book is dedicated to the study of the theory of electromagnetism. It is not intended to cover all aspects of the topic, but instead will give a certain perspective, that of its relationship with special relativity. Indeed, special relativity is intrinsic to electromagnetism; thus, this paradigm eliminates some false paradoxes. Electromagnetism also discusses the limit of classical mechanics, and covers problems that arise when phenomena related to the propagation of electromagnetic waves are encountered. These are problems that even the greatest scientists of the last two hundred years have not been able to entirely overcome. This book is directed towards the undergraduate level, and will also support the readers as they move on to advanced technical training, such as an engineering or master's degree.

About the Author
Christian Gontrand is a professor at INL/INSA Lyon, France, focusing on 3D circuits. He was formerly a head professor in the Smart Power Integration team at AMPERE lab and had the technical charge of the CIMIRLY from 1988 to 1996.