Electromagnetism : Maxwell equations, wave propagation and emission / Tamer Bécherrawy.

Cover; Electromagnetism; Title Page; Copyright Page; Table of Contents; Preface; List of Symbols; Chapter 1. Prologue; 1.1. Scalars and vectors; 1.2. Effect of rotations on scalars and vectors; 1.3. Integrals involving vectors; 1.4. Gradient and curl, conservative field and scalar potential; 1.5. Divergence, conservative flux, and vector potential; 1.6. Other properties of the vector differential operator; 1.7. Invariance and physical laws; 1.8. Electric charges in nature; 1.9. Interactions in nature; 1.10. Problems; Chapter 2. Electrostatics in Vacuum; 2.1. Electric forces and field.

2.2. Electric energy and potential2.3. The two fundamental laws of electrostatics; 2.4. Poisson's equation and its solutions; 2.5. Symmetries of the electric field and potential; 2.6. Electric dipole; 2.7. Electric field and potential of simple charge configurations; 2.8. Some general properties of the electric field and potential; 2.9. Electrostatic energy of a system of charges; 2.10. Electrostatic binding energy of ionic crystals and atomic nuclei; 2.11. Interaction-at-a-distance and local interaction; 2.12. Problems; Chapter 3. Conductors and Currents; 3.1. Conductors in equilibrium.

3.2. Conductors with cavities, electric shielding3.3. Capacitors; 3.4. Mutual electric influence of conductors; 3.5. Electric forces between conductors; 3.6. Currents and current densities; 3.7. Classical model of conduction, Ohm's law and the Joule effect; 3.8. Resistance of conductors; 3.9. Variation of resistivity with temperature, superconductivity; 3.10. Band theory of conduction, semiconductors; 3.11. Electric circuits; 3.12. Problems; Chapter 4. Dielectrics; 4.1. Effects of dielectric on capacitors; 4.2. Polarization of dielectrics; 4.3. Microscopic interpretation of polarization.

4.4. Polarization charges in dielectric4.5. Potential and field of polarized dielectrics; 4.6. Gauss's law in the case of dielectrics, electric displacement; 4.7. Electrostatic equations in dielectrics; 4.8. Field and potential of permanent dielectrics; 4.9. Polarization of a dielectric in an external field; 4.10. Energy and force in dielectrics; 4.11. Action of an electric field on a polarized medium; 4.12. Electric susceptibility and permittivity; 4.13. Variation of polarization with temperature; 4.14. Nonlinear dielectrics and non-isotropic dielectrics; 4.15. Problems.

Chapter 5. Special Techniques and Approximation Methods5.1. Unicity of the solution; 5.2. Method of images; 5.3. Method of analytic functions; 5.4. Method of separation of variables; 5.5. Laplace's equation in Cartesian coordinates; 5.6. Laplace's equation in spherical coordinates; 5.7. Laplace's equation in cylindrical coordinates; 5.8. Multipole expansion; 5.9. Other methods; 5.10. Problems; Chapter 6. Magnetic Field in Vacuum; 6.1. Force exerted by a magnetic field on a moving charge; 6.2. Force exerted by a magnetic field on a current, Laplace's force.

This book deals with electromagnetic theory and its applications at the level of a senior-level undergraduate course for science and engineering. The basic concepts and mathematical analysis are clearly developed and the important applications are analyzed. Each chapter contains numerous problems ranging in difficulty from simple applications to challenging. The answers for the problems are given at the end of the book. Some chapters which open doors to more advanced topics, such as wave theory, special relativity, emission of radiation by charges and antennas, are included. The materi.

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Includes bibliographical references and index.