Electromagnetism

Book description

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.

Table of contents

  1. Cover
  2. Title Page
  3. Copyright Page
  4. Preface
  5. 1 Magnetic Field
    1. 1.1. Overview of history
    2. 1.2. Magnetic fields and magnetic forces
    3. 1.3. Magnetic fields created by currents
    4. 1.4. Biot–Savart experiment
    5. 1.5. From field B to vector potential A
    6. 1.6. Symmetry and invariance properties of the magnetic field related to the symmetry and invariances of the current distribution
    7. 1.7. Calculation of the magnetic field (principle of)
    8. 1.8. Circulation properties of B. Ampère’s theorem
    9. 1.9. Magnetic field flux conservation – vector potential
    10. 1.10. Transit relationships
  6. 2 Magnetic Forces and their Work
    1. 2.1. Introduction: Academy of Sciences
    2. 2.2. Action of a magnetic field on a circuit through which a current flows
    3. 2.3. Current in a conductor subjected to an electromagnetic field
    4. 2.4. Local Ohm’s law
    5. 2.5. Hall effect
    6. 2.6. Ampère/Laplace magnetic forces on a conductor (Figures 2.10 and 2.11)
    7. 2.7. Work of electromagnetic forces
    8. 2.8. Application to the study of torsor of magnetic forces exerted by an invariable field on a rigid circuit
    9. 2.9. Potential energy
    10. 2.10. Example: flux of a turn in a magnetic field
    11. 2.11. Potential energy of interaction with a magnetic field: magnetic dipole
    12. 2.12. Electrostatic/magnetostatic analogy
  7. 3 Magnetic Media
    1. 3.1. Introduction: orbital and spin magnetic moments
    2. 3.2. Experimental studies
    3. 3.3. Microscopic origins of magnetism: basic concepts
    4. 3.4. Macroscopic appearance; magnetization intensity
    5. 3.5. Determining the magnetic field created by a magnetized medium
    6. 3.6. Macroscopic aspects; magnetization currents
    7. 3.7. Generalized Ampère’s theorem: magnetic excitation
    8. 3.8. Perfect magnetic media or HLI media – homogeneous, linear, isotropic (Figure 3.21)
    9. 3.9. Magnetic field equations for perfect materials and vacuum
  8. 4 Induction
    1. 4.1. Introduction: variable regimes
    2. 4.2. Properties of electrical induction and magnetic field
    3. 4.3. Phenomenon of electromagnetic induction
    4. 4.4. Different inductions
    5. 4.5. Applications
    6. 4.6. Electromechanical conversion; moving bar in a uniform B-field
    7. 4.7. Vector potential and quantum mechanics
    8. 4.8. Appendix: another example of an induction problem
  9. 5 Propagation: Special Relativity
    1. 5.1. Introduction
    2. 5.2. Light and electromagnetic waves
    3. 5.3. Relativity
  10. Conclusion
  11. Appendices
    1. Appendix 1. Ampère/Laplace Magnetic Actions Undergone by a Current Loop Placed in an External Magnetic Field
    2. Appendix 2. Magnetostatic Potential Energy of a Current System (Perfect Media)
    3. Appendix 3. Operator Expressions in Cartesian Coordinates
    4. Appendix 4. Some Key Players in Electromagnetism and Special Relativity
  12. References
  13. Index
  14. Other titles from iSTE in Waves

Product information

  • Title: Electromagnetism
  • Author(s): Christian Gontrand
  • Release date: January 2023
  • Publisher(s): Wiley-ISTE
  • ISBN: 9781786307811