Classical Electricity and Magnetism : Second Edition
Compact, clear, and precise in its presentation, this distinguished, widely used textbook offers graduate students and advanced undergraduates a diverse and well-balanced selection of topics. Subjects include the electrostatic field in vacuum; boundary conditions and relation of microscopic to macroscopic fields; general methods for the solution of potential problems, including those of two and three dimensions; energy relations and forces in the electrostatic field; steady currents and their interaction; magnet materials and boundary value problems; and Maxwell's equations. Additional topics include energy, force, and momentum relations in the electromagnetic field; the wave equation and plane waves; conducting fluids in a magnetic field; waves in the presence of metallic boundaries; the inhomogeneous wave equation; the experimental basis for the theory of special relativity; relativistic kinematics and the Lorentz transformation; covariance and relativistic mechanics; covariant formulation of electrodynamics; and the Liňard-Wiechert potentials and the field of a uniformly moving electron. The text concludes with examinations of radiation from an accelerated charge; radiation reaction and covariant formulation of the conservation laws of electrodynamics; radiation, scattering, and dispersion; the motion of charged particles in electromagnetic fields; and Hamiltonian formulation of Maxwell's equations
1 online resource
9781306340465, 9780486132259, 1306340462, 0486132250
868272078
Print version:
Cover; Title; Copyright; Preface to the First Edition; Preface to the Second Edition; Contents; Errata; Chapter 1. The Electrostatic Field in Vacuum; 1-1 Vector Fields; 1-2 The Electric Field; 1-3 Coulomb's law; 1-4 The Electrostatic Potential; 1-5 The Potential in Terms of Charge Distribution; 1-6 Field Singularities; 1-7 Clusters of Point Charges; 1-8 Dipole Interactions; 1-9 Surface Singularities; 1-10 Volume Distributions of Dipole Moment; Chapter 2. Boundary Conditions and Relation of Microscopic to Macroscopic Fields; 2-1 The Displacement Vector; 2-2 Boundary Conditions. 2-3 The Electric Field in a Material Medium2-4 Polarizability; Chapter 3. General Methods for the Solution of Potential Problems; 3-1 Uniqueness Theorem; 3-2 Green's Reciprocation Theorem; 3-3 Solution by Green's function; 3-4 Solution by Inversion; 3-5 Solution by electrical images; 3-6 Solution of Laplace's Equation by the Separation of Variables; Chapter 4. Two-Dimensional Potential Problems; 4-1 Conjugate Complex Functions; 4-2 Capacity and Field Strength; 4-3 The Potential of a Uniform Field; 4-4 The Potential of a Line Charge; 4-5 Complex Transformations. 4-6 General Schwarz Transformation4-7 Single-Angle Transformations; 4-8 Multiple-angle Transformations; 4-9 Direct Solution of Laplace's Equation by the Method of Harmonics; 4-10 Illustration: Line Charge and Dielectric Cylinder; 4-11 Line Charge in an Angle Between Two Conductors; Chapter 5. Three-Dimensional Potential Problems; 5-1 The Solution of Laplace's Equation in Spherical Coordinates; 5-2 The Potential of a Point Charge; 5-3 The Potential of a Dielectric Sphere and a Point Charge; 5-4 The Potential of a Dielectric Sphere in a Uniform Field. 5-5 The Potential of an Arbitrary Axially-Symmetric Spherical Potential Distribution5-6 The Potential of a Charged Ring; 5-7 Problems not Having Axial Symmetry; 5-8 The Solution of Laplace's Equation in Cylindrical Coordinates; 5-9 Application of Cylindrical Solutions to Potential Problems; Chapter 6. Energy Relations and Forces in the Electrostatic Field; 6-1 Field Energy in Free Space; 6-2 Energy Density within a Dielectric; 6-3 Thermodynamic Interpretation of U; 6-4 Thomson's theorem; 6-5 Maxwell Stress Tensor; 6-6 Volume Forces in the Electrostatic Field in the Presence of Dielectrics. 6-7 The Behavior of Dielectric Liquids in an Electrostatic FieldChapter 7. Steady Currents and their Interaction; 7-1 Ohm's Law; 7-2 Electromotive Force; 7-3 The Solution of Stationary Current Problems; 7-4 Time of Relaxation in a Homogeneous Medium; 7-5 The Magnetic Interaction of Steady Line Currents; 7-6 The Magnetic Induction Field; 7-7 The Magnetic Scalar Potential; 7-8 The Magnetic Vector Potential; 7-9 Types of Currents; 7-10 Polarization Currents; 7-11 Magnetic moments; 7-12 Magnetization and Magnetization Currents; 7-13 Vacuum Displacement Current