Introduction to Electrodynamics

Höfundur: David J. Griffiths (Útgáfa: 5)
Introduction to Electrodynamics

Kaup valmöguleikar

In this new edition of the standard undergraduate textbook on electricity and magnetism, David Griffiths provides expanded discussions on topics such as the nature of field lines, the crystal ambiguity, eddy currents, and the Thomson kink model. Ideal for junior and senior undergraduate students from physics and electrical engineering, the book now includes many new examples and problems, including numerical applications (in Mathematica) to reflect the increasing importance of computational techniques in contemporary physics.

Nánar um bókina

Útgefandi
Cambridge University Press
ISBN
9781009397728
Print ISBN
9781009397759
Format
Page Fidelity (PDF)
Útgáfa
5
Höfundar
David J. Griffiths
Tungumál
English
Útgefið
2023-11-02
Prent takmörkun á líftíma
100
Prent takmörkun
2
Afritunar takmörkun
2

Kaflar

  • Front endpaper
  • Half-title
  • Title page
  • Imprints page
  • Contents
  • Preface
  • Advertisement
  • 1 Vector Analysis
  • 1.1 Vector Algebra
  • 1.1.1 Vector Operations
  • 1.1.2 Vector Algebra: Component Form
  • 1.1.3 Triple Products
  • 1.1.4 Position, Displacement, and Separation Vectors
  • 1.1.5 How Vectors Transform
  • 1.2 Differential Calculus
  • 1.2.1 “Ordinary” Derivatives
  • 1.2.2 Gradient
  • 1.2.3 The Del Operator
  • 1.2.4 The Divergence
  • 1.2.5 The Curl
  • 1.2.6 Product Rules
  • 1.2.7 Second Derivatives
  • 1.3 Integral Calculus
  • 1.3.1 Line, Surface, and Volume Integrals
  • 1.3.2 The Fundamental Theorem of Calculus
  • 1.3.3 The Fundamental Theorem for Gradients
  • 1.3.4 The Fundamental Theorem for Divergences
  • 1.3.5 The Fundamental Theorem for Curls
  • 1.3.6 Integration by Parts
  • 1.4 Curvilinear Coordinates
  • 1.4.1 Spherical Coordinates
  • 1.4.2 Cylindrical Coordinates
  • 1.5 The Dirac Delta Function
  • 1.5.1 The Divergence of r/r[sup=2]
  • 1.5.2 The One-Dimensional Dirac Delta Function
  • 1.5.3 The Three-Dimensional Delta Function
  • 1.6 The Theory of Vector Fields
  • 1.6.1 The Helmholtz Theorem
  • 1.6.2 Potentials
  • More Problems on Chapter 1
  • 2 Electrostatics
  • 2.1 The Electric Field
  • 2.1.1 Introduction
  • 2.1.2 Coulomb’s Law
  • 2.1.3 The Electric Field
  • 2.1.4 Continuous Charge Distributions
  • 2.2 Divergence and Curl of Electrostatic Fields
  • 2.2.1 Field Lines, Flux, and Gauss’s Law
  • 2.2.2 The Divergence of E
  • 2.2.3 Applications of Gauss’s Law
  • 2.2.4 The Curl of E
  • 2.3 Electric Potential
  • 2.3.1 Introduction to Potential
  • 2.3.2 Comments on Potential
  • 2.3.3 Poisson’s Equation and Laplace’s Equation
  • 2.3.4 The Potential of a Localized Charge Distribution
  • 2.3.5 Boundary Conditions
  • 2.4 Work and Energy in Electrostatics
  • 2.4.1 The Work It Takes to Move a Charge
  • 2.4.2 The Energy of a Point Charge Distribution
  • 2.4.3 The Energy of a Continuous Charge Distribution
  • 2.4.4 Comments on Electrostatic Energy
  • 2.5 Conductors
  • 2.5.1 Basic Properties
  • 2.5.2 Induced Charges
  • 2.5.3 Surface Charge and the Force on a Conductor
  • 2.5.4 Capacitors
  • More Problems on Chapter 2
  • 3 Potentials
  • 3.1 Laplace’s Equation
  • 3.1.1 Introduction
  • 3.1.2 Laplace’s Equation in One Dimension
  • 3.1.3 Laplace’s Equation in Two Dimensions
  • 3.1.4 Laplace’s Equation in Three Dimensions
  • 3.1.5 Boundary Conditions and Uniqueness Theorems
  • 3.1.6 Conductors and the Second Uniqueness Theorem
  • 3.2 The Method of Images
  • 3.2.1 The Classic Image Problem
  • 3.2.2 Induced Surface Charge
  • 3.2.3 Force and Energy
  • 3.2.4 Other Image Problems
  • 3.3 Separation of Variables
  • 3.3.1 Cartesian Coordinates
  • 3.3.2 Spherical Coordinates
  • 3.4 Multipole Expansion
  • 3.4.1 Approximate Potentials at Large Distances
  • 3.4.2 The Monopole and Dipole Terms
  • 3.4.3 Origin of Coordinates in Multipole Expansions
  • 3.4.4 The Electric Field of a Dipole
  • More Problems on Chapter 3
  • 4 Electric Fields in Matter
  • 4.1 Polarization
  • 4.1.1 Dielectrics
  • 4.1.2 Induced Dipoles
  • 4.1.3 Alignment of Polar Molecules
  • 4.1.4 Polarization
  • 4.2 The Field of a Polarized Object
  • 4.2.1 Bound Charges
  • 4.2.2 Physical Interpretation of Bound Charges
  • 4.2.3 Microscopic and Macroscopic Fields
  • 4.3 The Electric Displacement
  • 4.3.1 Gauss’s Law in the Presence of Dielectrics
  • 4.3.2 A Deceptive Parallel
  • 4.3.3 Boundary Conditions
  • 4.3.4 The Crystal Ambiguity
  • 4.4 Linear Dielectrics
  • 4.4.1 Susceptibility, Permittivity, Dielectric Constant
  • 4.4.2 Boundary Value Problems with Linear Dielectrics
  • 4.4.3 Energy in Dielectric Systems
  • 4.4.4 Forces on Dielectrics
  • More Problems on Chapter 4
  • 5 Magnetostatics
  • 5.1 The Lorentz Force Law
  • 5.1.1 Magnetic Fields
  • 5.1.2 Magnetic Forces
  • 5.1.3 Currents
  • 5.2 The Biot–Savart Law
  • 5.2.1 Steady Currents
  • 5.2.2 The Magnetic Field of a Steady Current
  • 5.3 The Divergence and Curl of B
  • 5.3.1 Straight-Line Currents
  • 5.3.2 The Divergence and Curl of B
  • 5.3.3 Ampère’s Law
  • 5.3.4 Comparison of Magnetostatics and Electrostatics
  • 5.4 Magnetic Vector Potential
  • 5.4.1 The Vector Potential
  • 5.4.2 Boundary Conditions
  • 5.4.3 Multipole Expansion of the Vector Potential
  • More Problems on Chapter 5
  • 6 Magnetic Fields in Matter
  • 6.1 Magnetization
  • 6.1.1 Diamagnets, Paramagnets, Ferromagnets
  • 6.1.2 Torques and Forces on Magnetic Dipoles
  • 6.1.3 Effect of a Magnetic Field on Atomic Orbits
  • 6.1.4 Magnetization
  • 6.2 The Field of a Magnetized Object
  • 6.2.1 Bound Currents
  • 6.2.2 Physical Interpretation of Bound Currents
  • 6.2.3 The Magnetic Field inside Matter
  • 6.3 The Auxiliary Field H
  • 6.3.1 Ampère’s Law in Magnetized Materials
  • 6.3.2 A Deceptive Parallel
  • 6.3.3 Boundary Conditions
  • 6.4 Linear and Nonlinear Media
  • 6.4.1 Magnetic Susceptibility and Permeability
  • 6.4.2 Ferromagnetism
  • More Problems on Chapter 6
  • 7 Electrodynamics
  • 7.1 Electromotive Force
  • 7.1.1 Ohm’s Law
  • 7.1.2 Electromotive Force
  • 7.1.3 Motional Emf
  • 7.2 Electromagnetic Induction
  • 7.2.1 Faraday’s Law
  • 7.2.2 The Induced Electric Field
  • 7.2.3 Inductance
  • 7.2.4 Energy in Magnetic Fields
  • 7.3 Maxwell’s Equations
  • 7.3.1 Electrodynamics before Maxwell
  • 7.3.2 How Maxwell Fixed Ampère’s Law
  • 7.3.3 Maxwell’s Equations
  • 7.3.4 Magnetic Charge
  • 7.3.5 Maxwell’s Equations in Matter
  • 7.3.6 Boundary Conditions
  • 7.4 The Field of a Rotating Magnet
  • More Problems on Chapter 7
  • Intermission
  • 8 Conservation Laws
  • 8.1 Charge and Energy
  • 8.1.1 The Continuity Equation
  • 8.1.2 Poynting’s Theorem
  • 8.2 Momentum
  • 8.2.1 Newton’s Third Law in Electrodynamics
  • 8.2.2 Maxwell’s Stress Tensor
  • 8.2.3 Conservation of Momentum
  • 8.2.4 Angular Momentum
  • 8.3 Magnetic Forces Do No Work
  • More Problems on Chapter 8
  • 9 Electromagnetic Waves
  • 9.1 Waves in One Dimension
  • 9.1.1 The Wave Equation
  • 9.1.2 Sinusoidal Waves
  • 9.1.3 Boundary Conditions: Reflection and Transmission
  • 9.1.4 Polarization
  • 9.2 Electromagnetic Waves in Vacuum
  • 9.2.1 The Wave Equation for E and B
  • 9.2.2 Monochromatic Plane Waves
  • 9.2.3 Energy and Momentum in Electromagnetic Waves
  • 9.3 Electromagnetic Waves in Matter
  • 9.3.1 Propagation in Linear Media
  • 9.3.2 Reflection and Transmission at Normal Incidence
  • 9.3.3 Reflection and Transmission at Oblique Incidence
  • 9.4 Absorption and Dispersion
  • 9.4.1 Electromagnetic Waves in Conductors
  • 9.4.2 Reflection at a Conducting Surface
  • 9.4.3 The Frequency Dependence of Permittivity
  • 9.5 Guided Waves
  • 9.5.1 Wave Guides
  • 9.5.2 TE Waves in a Rectangular Wave Guide
  • 9.5.3 The Coaxial Transmission Line
  • More Problems on Chapter 9
  • 10 Potentials and Fields
  • 10.1 The Potential Formulation
  • 10.1.1 Scalar and Vector Potentials
  • 10.1.2 Gauge Transformations
  • 10.1.3 Coulomb Gauge and Lorenz Gauge
  • 10.1.4 Lorentz Force Law in Potential Form
  • 10.2 Continuous Distributions
  • 10.2.1 Retarded Potentials
  • 10.2.2 Jefimenko’s Equations
  • 10.3 Point Charges
  • 10.3.1 Liénard–Wiechert Potentials
  • 10.3.2 The Fields of a Moving Point Charge
  • More Problems on Chapter 10
  • 11 Radiation
  • 11.1 Dipole Radiation
  • 11.1.1 What Is Radiation?
  • 11.1.2 Electric Dipole Radiation
  • 11.1.3 Magnetic Dipole Radiation
  • 11.1.4 Radiation from an Arbitrary Source
  • 11.2 Power Radiated by a Point Charge
  • 11.2.1 The Larmor Formula
  • 11.2.2 The Liénard Formula
  • 11.3 The Radiation Reaction
  • 11.3.1 The Abraham–Lorentz Formula
  • 11.3.2 The Self-Force on a Charged Particle
  • More Problems on Chapter 11
  • 12 Electrodynamics and Relativity
  • 12.1 The Special Theory of Relativity
  • 12.1.1 Einstein’s Postulates
  • 12.1.2 The Geometry of Relativity
  • 12.1.3 The Lorentz Transformations
  • 12.1.4 The Structure of Space-Time
  • 12.2 Relativistic Mechanics
  • 12.2.1 Proper Time and Proper Velocity
  • 12.2.2 Relativistic Energy and Momentum
  • 12.2.3 Relativistic Kinematics
  • 12.2.4 Relativistic Dynamics
  • 12.3 Relativistic Electrodynamics
  • 12.3.1 Magnetism as a Relativistic Phenomenon
  • 12.3.2 How the Fields Transform
  • 12.3.3 The Field Tensor
  • 12.3.4 Electrodynamics in Tensor Notation
  • 12.3.5 Relativistic Potentials
  • More Problems on Chapter 12
  • A Vector Calculus in Curvilinear Coordinates
  • A.1 Introduction
  • A.2 Notation
  • A.3 Gradient
  • A.4 Divergence
  • A.5 Curl
  • A.6 Laplacian
  • B The Helmholtz Theorem
  • C Units
  • Index
  • Back endpaper