Introduction to Electrodynamics,9780138053260

Introduction to Electrodynamics

by
Edition: 3rd
ISBN13: 9780138053260
ISBN10: 013805326X
Format: Hardcover
Pub. Date: 1998-12-30
Publisher(s): Addison-Wesley
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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

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