Introduction to Electrodynamics

by Griffiths, David J.

• ISBN13: 9780138053260
• ISBN10: 013805326X
• Edition: 3rd
• Format: Hardcover
• Copyright: 1998-12-30
• Publisher: Addison-Wesley

Summary

Features a clear, accessible treatment of the fundamentals of electromagnetic theory. Its lean and focused approach employs numerous examples and problems.Carefully discusses subtle or difficult points. Contains numerous, relevant problems within the book in addition to end of each chapter problems and answers.

Table of Contents

Preface	ix
Advertisement	xi
Vector Analysis	1	(57)
Vector Algebra	1	(12)
Vector Operations	1	(3)
Vector Algebra: Component Form	4	(3)
Triple Products	7	(1)
Position, Displacement, and Separation Vectors	8	(2)
How Vectors Transform	10	(3)
Differential Calculus	13	(11)
``Ordinary'' Derivatives	13	(1)
Gradient	13	(3)
The Operator &nable;	16	(1)
The Divergence	17	(2)
The Curl	19	(1)
Product Rules	20	(2)
Second Derivatives	22	(2)
Integral Calculus	24	(14)
Line, Surface, and Volume Integrals	24	(1)
The Fundamental Theorem of Calculus	24	(5)
The Fundamental Theorem for Gradients	29	(2)
The Fundamental Theorem for Divergences	31	(3)
The Fundamental Theorem for Curls	34	(3)
Integration by Parts	37	(1)
Curvilinear Coordinates	38	(7)
Spherical Polar Coordinates	38	(5)
Cylindrical Coordinates	43	(2)
The Dirac Delta Function	45	(7)
The Divergence of r/r2	45	(1)
The One-Dimensional Dirac Delta Function	46	(4)
The Three-Dimensional Delta Function	50	(2)
The Theory of Vector Fields	52	(6)
The Helmholtz Theorem	52	(1)
Potentials	53	(5)
Electrostatics	58	(52)
The Electric Field	58	(7)
Introduction	58	(1)
Coulomb's Law	59	(1)
The Electric Field	60	(1)
Continous Charge Distributions	61	(4)
Divergence and Curl of Electrostatic Fields	65	(12)
Field Lines, Flux, and Gauss's Law	65	(4)
The Divergence of E	69	(1)
Applications of Gauss's Law	70	(6)
The Curl of E	76	(1)
Electric Potential	77	(13)
Introduction of Potential	77	(2)
Comments on Potential	79	(4)
Poisson's Equation and Laplace's Equation	83	(1)
The Potential of a Localized Charge Distribution	83	(4)
Summary; Electrostatic Boundary Conditions	87	(3)
Work and Energy in Electrostatics	90	(6)
The Work Done to Move a Charge	90	(1)
The Energy of a Point Charge Distribution	91	(2)
The Energy of a Continuous Charge Distribution	93	(2)
Comments on Electrostatic Energy	95	(1)
Conductors	96	(14)
Basic Properties	96	(2)
Induced Charges	98	(4)
Surface Charge and the Force on a Conductor	102	(1)
Capacitors	103	(7)
Special Techniques	110	(50)
Laplace's Equation	110	(11)
Introduction	110	(1)
Laplace's Equation in One Dimension	111	(1)
Laplace's Equation in Two Dimensions	112	(2)
Laplace's Euqation in Three Dimensions	114	(2)
Boundary Conditions and Uniqueness Theorems	116	(2)
Conductors and the Second Uniqueness Theorem	118	(3)
The Method of Images	121	(6)
The Classic Image Problem	121	(2)
Induced Surface Charge	123	(1)
Force and Energy	123	(1)
Other Image Problems	124	(3)
Separation of Variables	127	(19)
Cartesian Coordinates	127	(10)
Spherical Coordinates	137	(9)
Multipole Expansion	146	(14)
Approximate Potentials at Large Distances	146	(3)
The Monopole and Dipole Terms	149	(2)
Origin of Coordinates in Multipole Expansions	151	(2)
The Electric Field of a Dipole	153	(7)
Electric Fields in Matter	160	(42)
Polarization	160	(6)
Dielectrics	160	(1)
Induced Dipoles	160	(3)
Alignment of Polar Molecules	163	(3)
Polarization	166	(1)
The Field of a Polarized Object	166	(9)
Bound Charges	166	(4)
Physical Interpretation of Bound Charges	170	(3)
The Field Inside a Dielectric	173	(2)
The Electric Displacement	175	(4)
Gauss's Law in the Presence of Dielectrics	175	(3)
A Deceptive Parallel	178	(1)
Boundary Conditions	178	(1)
Linear Dielectrics	179	(23)
Susceptibility, Permittivity, Dielectric Constant	179	(7)
Boundary Value Problems with Linear Dielectrics	186	(5)
Energy in Dielectric Systems	191	(2)
Forces on Dielectrics	193	(9)
Magnetostatics	202	(53)
The Lorentz Force Law	202	(13)
Magnetic Fields	202	(2)
Magnetic Forces	204	(4)
Currents	208	(7)
The Biot-Savart Law	215	(6)
Steady Currents	215	(1)
The Magnetic Field of a Steady Current	215	(6)
The Divergence and Curl of B	221	(13)
Straight-Line Currents	221	(1)
The Divergence and Curl of B	222	(3)
Applications of Ampere's Law	225	(7)
Comparison of Magnetostatics and Electrostatics	232	(2)
Magnetic Vector Potential	234	(21)
The Vector Potential	234	(6)
Summary; Magnetostatic Boundary Conditions	240	(2)
Multipole Expansion of the Vector Potential	242	(13)
Magnetic Fields in Matter	255	(30)
Magnetization	255	(8)
Diamagnets, Paramagnets, Ferromagnets	255	(1)
Torques and Forces on Magnetic Dipoles	255	(5)
Effect of a Magnetic Field on Atomic Orbits	260	(2)
Magnetization	262	(1)
The Field of a Magnetized Object	263	(6)
Bound Currents	263	(3)
Physical Interpretation of Bound Currents	266	(2)
The Magnetic Field Inside Matter	268	(1)
The Auxiliary Field H	269	(5)
Ampere's law in Magnetized Materials	269	(4)
A Deceptive Parallel	273	(1)
Boundary Conditions	273	(1)
Linear and Nonlinear Media	274	(11)
Magnetic Susceptibility and Permeability	274	(4)
Ferromagnetism	278	(7)
Electrodynamics	285	(60)
Electromotive Force	285	(16)
Ohm's Law	285	(7)
Electromotive Force	292	(2)
Motional emf	294	(7)
Electromagnetic Induction	301	(20)
Faraday's Law	301	(4)
The Induced Electric Field	305	(5)
Inductance	310	(7)
Energy in Magnetic Fields	317	(4)
Maxwell's Equations	321	(24)
Electrodynamics Before Maxwell	321	(2)
How Maxwell Fixed Ampere's Law	323	(3)
Maxwell's Equations	326	(1)
Magnetic Charge	327	(1)
Maxwell's Equations in Matter	328	(3)
Boundary Conditions	331	(14)
Conservation Laws	345	(19)
Charge and Energy	345	(4)
The Continuity Equation	345	(1)
Poynting's Theorem	346	(3)
Momentum	349	(15)
Newton's Thrid Law in Electrodynamics	349	(2)
Maxwell's Stress Tensor	351	(4)
Conservation of Momentum	355	(3)
Angular Momentum	358	(6)
Electromagnetic Waves	364	(52)
Waves in One Dimension	364	(11)
The Wave Equation	364	(3)
Sinusoidal Waves	367	(3)
Boundary Conditions: Reflection and Transmission	370	(3)
Polarization	373	(2)
Electromagnetic Waves in Vacuum	375	(7)
The Wave Eqation for E and B	375	(1)
Monochromatic Plane Waves	376	(4)
Energy and Momentum in Electromagnetic Waves	380	(2)
Electromagnetic Waves in Matter	382	(10)
Propagation in Linear Media	382	(2)
Reflection and Transmission at Normal Incidence	384	(2)
Reflection and Transmission at Oblique Incidence	386	(6)
Absorption and Dispersion	392	(13)
Electromagnetic Waves in Conductors	392	(4)
Reflection at a Conducting Surface	396	(2)
The Frequency Dependence of Permittivity	398	(7)
Guided Waves	405	(11)
Wave Guides	405	(3)
TE Waves in a Rectangular Wave Guide	408	(3)
The Coaxial Transmission Line	411	(5)
Potentials and Fields	416	(27)
The Potential Formulation	416	(6)
Scalar and Vector Potentials	416	(3)
Gauge Transformations	419	(2)
Coulomb Gauge and Lorentz Gauge	421	(1)
Continuous Distributions	422	(7)
Retarded Potentials	427	(1)
Jefimenko's Equations	427	(2)
Point Charges	429	(14)
Lienard-Wiechert Potentials	429	(6)
The Fields of a Moving Point Charge	435	(8)
Radiation	443	(34)
Dipole Radiation	443	(17)
What is Radiation?	443	(1)
Electric Dipole Radiation	444	(7)
Magnetic Dipole Radiation	451	(3)
Radiation from an Arbitrary Source	454	(6)
Point Charges	460	(17)
Power Radiated by a Point Charge	460	(5)
Radiation Reaction	465	(4)
The Physical Basis of the Radiation Reaction	469	(8)
Electrodynamics and Relativity	477	(70)
The Special Theory of Relativity	477	(30)
Einstein's Postulates	477	(6)
The Geometry of Relativity	483	(10)
The Lorentz Transformations	493	(7)
The Structure of Spacetime	500	(7)
Relativistic Mechanics	507	(15)
Proper Time and Proper Velocity	507	(2)
Relativistic Energy and Momentum	509	(2)
Relativistic Kinematics	511	(5)
Relativistic Dynamics	516	(6)
Relativistic Electrodynamics	522	(25)
Magnetism as a Relativistic Phenomenon	522	(3)
How the Fields Transform	525	(10)
The Field Tensor	535	(2)
Electrodynamics in Tensor Notation	537	(4)
Relativistic Potentials	541	(6)
A Vector Calculus in Curvilinear Coordinates	547	(8)
A.1 Introduction	547	(1)
A.2 Notation	547	(1)
A.3 Gradient	548	(1)
A.4 Divergence	549	(3)
A.5 Curl	552	(2)
A.6 Laplacian	554	(1)
B The Helmholtz Theorem	555	(3)
C Units	558	(4)
Index	562