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Electromagnetism : Links to Special Relativity.

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Bibliographic Details
Main Author: Gontrand, Christian
Format: eBook
Language:English
Published: Newark : John Wiley & Sons, Incorporated, 2023.
Subjects:
Electromagnetism.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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. Amp̈re's theorem
  • 1.8.1. Integral form of Amp̈re's theorem
  • 1.8.2. Local form of Amp̈re'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. Amp̈re/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. Amp̈re/Laplace magnetic forces on a conductor (Figures 2.10 and 2.11)
  • 2.6.1. Amp̈re 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 Amp̈re'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 Lǐnard 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 Amp̈re
  • 5.3.4. Note on Lorentz equations
  • Conclusion
  • Appendices
  • Appendix 1. Amp̈re/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.