Electricity and Magnetism

Description

This outstanding text for a two-semester course is geared toward physics undergraduates who have completed a basic first-year physics course. The coherent treatment offers several notable features, including 300 detailed examples at various levels of difficulty, a self-contained chapter on vector algebra, and a single chapter devoted to radiation that cites interrelationships between various analysis methods. Starting with chapters on vector analysis and electrostatics, the text covers electrostatic boundary value problems, formal and microscopic theories of dielectric electrostatics and of magnetism and matter, electrostatic energy, steady currents, and induction. Additional topics include magnetic energy, circuits with nonsteady currents, Maxwell's equations, radiation, electromagnetic boundary value problems, and the special theory of relativity. Exercises appear at the end of each chapter and answers to odd-numbered problems are included in one of several helpful appendixes. Title Page Chapter 1. Vector Analysis Chapter 2. Electrostatics Chapter 3. Electrostatic Boundary Value Problems 3.1 Poisson's and Laplace's Equations 3.2 Uniqueness of Solutions to Electrostatic Problems 3.3 Boundary Conditions 3.4 Problems Involving Laplace's Equation 3.5 The Method of Images 3.6 Poisson's Equation 3.7 Electrostatic Shielding 3.8 Summary Problems Chapter 4. Formal Theory of Dielectric Electrostatics 4.1 Polarization and Dipole Moment Density 4.2 Fields Due to a Dielectric Medium 4.3 Gauss' Law for Dielectrics 4.4 The Equations of Electrostatics Inside Dielectrics 4.5 The Electric Constitutive Relations 4.6 The Solution of Electrostatic Boundary Value Problems with Dielectrics 4.7 Method of Images for Dielectric Interfaces 4.8 Forces on Charge Distributions 4.9 Summary Problems Chapter 5. The Microscopic Theory of Dielectrics 5.1 The Molecular Field 5.2 Interaction of Atoms and Molecules with Electric Fields 5.3 Summary Problems Chapter 6. Electrostatic Energy 6.1 Electrostatic Energy of an Assembly of Point Charges 6.2 Electrostatic Energy of a Continuous Charge Distribution 6.3 Electrostatic Energy of Conductors; Coefficients of Potential and Capacitance 6.4 Capacitors 6.4.1 Capacitance of an Isolated Conductor 6.4.2 The Two-Conductor Capacitor 6.4.3 Combinations of Capacitors 6.4.4 Energy Storage in Capacitors 6.5 Electrostatic Energy: An Alternative Expression in Terms of the Field Distribution 6.6 Self-Energies and Interaction Energies 6.7 Forces and Torques Using the Electrostatic Energy 6.8 Summary Problems Chapter 7. Steady Currents 7.1 Definition of Electric Current 7.2 The Continuity Equation: Local Conservation of Charge 7.3 Ohm's Law 7.4 Steady Currents 7.5 The Coefficients of Resistance 7.6 The Method of Images for Currents 7.7 Microscopic Origin of Conduction 7.8 Joule Heating and Batteries 7.9 Kirchhoff's Laws and Resistive Network3 7.10 Summary Problems Chapter 8. Magnetism of Steady Currents 8.1 The Lorentz Force 8.2 Forces on Current Distribution-Motion in Crossed Fields 8.3 The Sources of B 8.4 Integral Equations of Magnetostatics and Ampere's Law 8.5 The Vector Potential 8.6 The Biot-Savart Law 8.7 The Magnetic Scalar Potential 8.8 Magnetic Effects of a Small Current Loop 8.9 Summary Problems Chapter 9. Formal Theory of Magantism and Matter 9.1 Magnetization 9.2 The Vector and Scalar Potentials of a Magnetized Material 9.3 The Equations of Macroscopic Magnetostatics 9.4 The Magnetic Constitutive Relations 9.5 Boundary Value Problems 9.6 Method of Images for Magnetic Interfaces 9.7 Magnetic Circuits 9.8 Summary Problems Chapter 10. The Microscopic Theory of Magnetism 10.1 The Interaction of Atoms and Molecules with Magnetic Fields 10.2 The Origin of Diamagnetism-Induced Dipole Moments 10.3 Paramagnetism-Permanent Moments 10.4 Ferromagnetism 10.5 Summary Problems Chapter 11. Induction 11.1 Faraday's Law 11.2 Motional EMF 11.3 Application of Faraday's Law to Circuits: Coefficients of Inductance 11.4 Summary Problems Chapter 11. Magnetic Energy 12.1 A Current Loop Immersed in a Linear Magnetic Material 12.2 N Loops Immersed in a Linear Magnetic Medium 12.3 Energy Stored in a Magnetic Field in the Presence of Linear Materials 12.4 Magnetic Energy in Nonlinear Materials 12.5 Forces and Torques Using the Magnetostatic Energy 12.6 Summary Problems Chapter 13. Circuits with Nonsteady Currents 13.1 Definition of Quasi-Static Circuits 13.2 Kirchhoff's Circuit Law 13.3 Time Domain Solutions 13.4 Coupled Circuits 13.5 AC Circuits-Frequency Domain 13.6 Power in AC circuits-Impedance Matching 13.7 Resonance in AC Circuits 13.8 Summary Problems Chapter 14. Maxwell's Equations 14.1 Displacement Current-Maxwell's Equations 14.2 Maxwell's Equations in Simple Media - The Wave Equation 14.3 Plane Waves in Nonconducting Media 14.4 Sinusoidal (Monochromatic) Solutions to Maxwell's Equations 14.5 Polarization of Plane Waves 14.6 Conservation of Electromagnetic Energy - Poynting's Theorem 14.7 Plane Monochromatic Waves in a Conducting Medium 14.8 Summary Problems Chapter 15. Radiation 15.1 Wave Equation of the Potentials with Sources - Gauge Transformations 15.2 Retarded Potentials 15.3 Spherical Waves and Field Wave Equations - Multipole Expansion for Slowly Moving Distributions 15.4 Radiation from Antennas 15.5 Multipole Expansion of the Retarded Potentials Radiation from Slowly Moving Charges - Electric Dipole 15.6 The Lienard-Weichert Potential - Fast-Moving Point Charges 15.7 Summary Problems Chapter 16. Electromagnetic Boundary Value Problems 16.1 Boundary Conditions on the Fields 16.2 Propagation Across a Plane Interface of Nonconducting (Dielectric) Materials 16.3 Propagation Across a Plane Interface of a Conductor and a Dielectric - Complex Fresnel Coefficients 16.4 Waveguides and Cavity Resonators 16.5 Summary Problems Chapter 17. Special Theory of Relativity - Electrodynamics 17.1 Galilean Transformation and the Wave Equation 17.2 Lorentz Transformation 17.3 Postulates of Special Relativity 17.4 Geometry of Space-Time (Four-Dimensiona lSpace) - Four-Vectors and Four Tensors 17.5 Relativistic Electrodynamics - Covariance of Electrodynamics 17.6 Summary Problems Appendices Appendix I. Systems of Units I.1 Force Laws-Origin of Systems I.2 Electrostatic and Electromagnetic Systems I.3 Gaussian System Appendix II. Divergence, Curl, Gradients, and Laplacian Appendix III. Some Fundamental Constants of Physics Appendix IV. Some SI Derived Units with Special Names Answers to Odd Problems Chapter 1, 2 Chapter 3 Chapter 4 Chapter 5, 6 Chapter 7, 8, 9 Chapter 10, 11 Chapter 12, 13, 14 Chapter 15 Chapter 16, 17 Index Contents