Wangsness Electromagnetic Fields

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	Vector Formulas
	Vector Operations
	Preface
	Contents
	Introduction
	Ch. 1: Vectors
	1.1 Definition of a Vector
	1.2 Addition
	1.3 Unit Vectors
	1.4 Components
	1.5 The Position Vector
	1.6 Scalar Product
	1.7 Vector Product
	1.8 Differentiation With Respect to a Scalar
	1.9 Gradient of a Scalar
	1.10 Other Differential Operations
	1.11 The Line Integral
	1.12 Vector Element of Area
	1.13 The Surface Integral
	1.14 The Divergence Theorem
	1.15 Stokes' Theorem
	1.16 Cylindrical Coordinates
	1.17 Spherical Coordinates
	1.18 Some Vector Relationships
	1.19 Functions of the Relative Coordinates
	1.20 The Helmholtz Theorem
	Exercises
	Ch. 2: Coulomb's Law
	2.1 Point Charges
	2.2 Coulomb's Law
	2.3 Systems of Point Charges
	2.4 Continuous Distributions of Charge
	2.5 Point Charge Outside a Uniform Spherical Charge Distribution
	Exercises
	Ch. 3: The Electric Field
	3.1 Definition of the Electric Field
	3.2 Field of a Uniform Infinite Line Charge
	3.3 Field of a Uniform Infinite Plane Sheet
	3.4 What Does All of This Mean?
	Exercises
	Ch. 4: Gauss' Law
	4.1 Derivation of Gauss' Law
	4.2 Some Applications of Gauss' Law
	4.3 Direct Calculation of Del dot E
	Exercises
	Ch. 5: The Scalar Potential
	5.1 Definition and Properties of the Scalar Potential
	5.2 Uniform Spherical Charge Distribution
	5.3 Uniform Line Charge Distribution
	5.4 The Scalar Potential and Energy
	Exercises
	Ch. 6: Conductors In Electrostatic Fields
	6.1 Some General Results
	6.2 Systems of Conductors
	6.3 Capacitance
	Exercises
	Ch. 7 Electrostatic Energy
	7.1 Energy of a System of Charges
	7.2 Energy of a System of Conductors
	7.3 Energy In Terms of the Electric Field
	7.4 Electrostatic Forces on Conductors
	Exercises
	Ch. 8: Electric Multipoles
	8.1 The Multipole Expansion of the Scalar Potential
	8.2 The Electric Dipole Field
	8.3 The Linear Quadrupole Field
	8.4 Energy of a Charge Distribution in an External Field
	Exercises
	Ch. 9 Boundary Conditions at a Surface of Discontinuity
	9.1 Origin of a Surface of Discontinuity
	9.2 The Divergence and the Normal Components
	9.3 The Curl and the Tangential Components
	9.4 Boundary Conditions for the Electric Field
	9.5 Boundary Conditions for the Scalar Potential
	Exercises
	Ch. 10: Electrostatics in the Presence of Matter
	10.1 Polarization
	10.2 Bound Charge Densities
	10.3 The Electric Field Within a Dielectric
	10.4 Uniform Polarized Sphere
	10.5 The D Field
	10.6 Classification of Dielectrics
	10.7 Linear Isotropic Homogeneous (l.i.h.) Dielectrics
	10.8 Energy
	10.9 Forces
	Exercises
	Ch. 11: Special Methods in Electrostatics
	11.1 Uniqueness of the Solution of Laplace's Equation
	11.2 Method of Images
	11.3 "Remembrance of Things Past"
	11.4 Separation of Variables in Rectangular Coordinates
	11.5 Separation of Variables in Spherical Coordinates
	11.6 Spherically Symmetric Solution of Poisson's Equation
	Exercises
	Ch. 12: Electric Currents
	12.1 Current and Current Densities
	12.2 The Equation of Continuity
	12.3 Conduction Currents
	12.4 Energy Relations
	12.5 A Microscopic Point of View
	12.6 The Attainment of Electrostatic Equilibrium
	Exercises
	Ch. 13: Ampere's Law
	13.1 The Force Between Two Complete Circuits
	13.2 Two Infinitely Long Parallel Currents
	13.3 The Force Between Current Elements
	Exercises
	Ch. 14: The Magnetic Induction
	14.1 Definition of the Magnetic Induction
	14.2 Straight Current of Finite Length
	14.3 Axial Induction of a Circular Current
	14.4 Infinite Plane Uniform Current Sheet
	14.5 Moving Point Charges
	Exercises
	Ch. 15: The Integral Form of Ampere's Law
	15.1 Derivation of the Integral Form
	15.2 Some Applications of the Integral Form
	15.3 Direct Calculation of Del x B
	Exercises
	Ch. 16: The Vector Potential
	16.1 The Divergence of B
	16.2 Definition and Properties of the Vector Potential
	16.3 Uniform Induction
	16.4 Straight Currents
	16.5 Infinitely Long Ideal Solenoid
	Exercises
	Ch. 17: Faraday's Law of Induction
	17.1 Faraday's Law
	17.2 Stationary Media
	17.3 Moving Media
	17.4 Inductance
	Exercises
	Ch. 18: Magnetic Energy
	18.1 Energy of a System of Free Currents
	18.2 Energy in Terms of the Magnetic Induction
	18.3 Magnetic Forces on Circuits
	Exercises
	Ch. 19: Magnetic Multipoles
	19.1 The Multipole Expansion of the Vector Potential
	19.2 The Magnetic Dipole Field
	19.3 Filamentary Currents
	19.4 Energy of a CurrentDistribution in an External Induction
	Exercises
	Ch. 20: Magnetism in the Presence of Matter
	20.1 Magnetization
	20.2 Magnetization Current Densities
	20.3 Uniformly Magnetized Sphere
	20.4 The H Field
	20.5 Linear Isotropic Homogeneous Magnetic Materials
	20.6 Energy
	20.7 Ferromagnetic Materials
	20.8 Magnetic Circuits
	Exercises
	Ch. 21: Maxwell's Equations
	21.1 The Displacement Current
	21.2 Maxwell's Equations in General Form
	21.3 Maxwell's Equations for Linear Isotropic Homogeneous Media
	21.4 Poynting's Theorem
	21.5 Electromagnetic Momentum
	Exercises
	Ch. 22: Scalar and Vector Potentials
	22.1 The Potentials in General
	22.2 The Potentials for Linear Isotropic Homogeneous Media
	22.3 Gauge Transformations
	Exercises
	Ch. 23: Systems of Units - A Guide for the Perplexed
	23.1 Origin of Other Systems of Units
	23.2 The Electrostatic and Electromagnetic Systems
	23.3 The Gaussian System
	23.4 How to Cope With the Guassian System
	Exercises
	Ch. 24: Plane Waves
	24.1 Separate Equations for E and B
	24.2 Plane Waves in a Nonconducting Medium
	24.3 Plane Waves in a Conducting Medium
	24.4 Plane Waves in a Charged Medium
	24.5 Plane Wave in an Arbitrary Direction
	24.6 Complex Solutions and Time-Average Energy Relations
	24.7 Polarization
	24.8 Are the Electromagnetic Parameters of Matter Constant?
	Exercises
	Ch. 25: Reflection and Refraction of Plane Waves
	25.1 The Laws of Reflection and Refraction
	25.2 E Perpendicular to the Plane of Incidence
	25.3 E Parallel to the Plane of Incidence
	25.4 Total Reflection
	25.5 Energy Relations
	25.6 Reflection at the Surface of a Conductor
	25.7 Continuously Varying Index of Refraction
	25.8 Radiation Pressure
	Exercises
	Ch. 26: Fields in Bounded Regions
	26.1 Boundary Conditions at the Surface of a Perfect Conductor
	26.2 Propagation Characteristics of Wave Guides
	26.3 Fields in a Wave Guide
	26.4 Rectangular Guide
	26.5 TEM Waves
	26.6 Resonant Cavities
	Exercises
	Ch. 27: Circuits and Transmission Lines
	27.1 Kirchhoff's Laws
	27.2 The Series RLC Circuit
	27.3 More Complicated Situations
	27.4 Transmission Lines
	Exercises
	Ch. 28: Radiation
	28.1 Retarded Potentials
	28.2 Multipole Expansion for Harmonically Oscillating Sources
	28.3 Electric Dipole Radiation
	28.4 Magnetic Dipole Radiation
	28.5 Linear Electric Quadrupole Radiation
	28.6 Antennas
	Exercises
	Ch. 29: Special Relativity
	29.1 Historical Origins of Special Relativity
	29.2 The Postulates and the Lorentz Transformation
	29.3 General Lorentz Transformations, 4-Vectors, and Tensors
	29.4 Particle Mechanics
	29.5 Electromagnetism in Vacuum
	29.6 Fields of a Uniformly Moving Point Charge
	Exercises
	Ch. A: Motion of Charged Particles
	A.1 Static Electric Field
	A.2 Static Magnetic Field
	A.3 Static Electric and Magnetic Fields
	A.4 A Time-Dependent Magnetic Field
	Exercises
	Ch. B: Electromagnetic Properties of Matter
	B.1 Static Electric Properties
	B.2 Static Magnetic Properties
	B.3 Response to Time-Varying Fields
	Exercises
	Answers to Odd-Numbered Exercises
	Index
	Conversion of Symbols in Equations
	Vector Integral Formulas
	Formulas Involving Relative Coordinates