| Front-End Matter |
Dedication (PDF)
Preface (PDF)
Table of contents (PDF)
Appendix 1: Vector operations (PDF) - Vectors
- Vector addition
- Definition of scalar product
- Definition of vector product
- The scalar triple product
- The double cross-product
Appendix 2: Line and surface integrals and proof that curl is a vector (PDF) - Line integrals
- Surface integrals
- Proof that the curl operation results in a vector
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| Chapter 1: Maxwell's integral laws in free space (PDF) |
1.0 Introduction 1.1 The Lorentz law in free space
1.2 Charge and current densities
1.3 Gauss' integral law of electric field density - Singular charge distributions
- Gauss' continuity condition
1.4 Ampere's integral law - Singular current distribution
- Ampere's continuity condition
1.5 Charge conservation in integral form - Charge conservation continuity condition
1.6 Faraday's integral law - Electric field intensity having no circulation
- Electric field intensity with circulation
- Faraday's continuity condition
1.7 Gauss' integral law of magnetic flux - Magnetic flux continuity condition
1.8 Summary | 1.3.1, 1.5.1: Coulomb's force law and measurements of charge | Streaming:
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| 1.4.1: Magnetic field of a line current | Streaming:
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| 1.6.1: Voltmeter reading induced by magnetic induction | Streaming:
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| Chapter 2: Maxwell's differential laws in free space (PDF) |
2.0 Introduction
2.1 The divergence operator
2.2 Gauss' integral theorem
2.3 Gauss' Law, magnetic flux continuity, and charge conservation
2.4 The curl operator
2.5 Stokes' integral theorem
2.6 Differential laws of Ampere and Faraday
2.7 Visualization of fields and the divergence and curl
2.8 Summary of Maxwell's differential laws and integral theorems | | | |
| Chapter 3: Introduction to electroquasistatics and magnetoquasistatics (PDF) |
3.0 Introduction
3.1 Temporal evolution of world governed by Laws of Maxwell, Lorentz, and Newton
3.2 Quasistatic laws
3.3 Conditions for fields to be quasistatic
3.4 Quasistatic systems
3.5 Overview of applications
3.6 Summary | | | |
| Chapter 4: Electroquasistatic fields: the superposition integral point of view (PDF) |
4.0 Introduction
4.1 Irrotational field represented by scalar potential: the gradient operator and the gradient integral theorem - Visualization of two-dimensional irrotational fields
4.2 Poisson's equation
4.3 Superposition principle
4.4 Fields associated with charge singularities - Dipole at the origin
- Pair of charges at infinity having equal magnitude and opposite sign
- Other charge singularities
4.5 Solution of Poisson's equation for specified charge distributions - Superposition integral for surface charge density
- Superposition integral for line charge density
- Two-dimensional charge and field distributions
- Potential of uniform dipole layer.
4.6 Electroquasistatic fields in the presence of perfect conductors 4.7 Method of images
4.8 Charge simulation approach to boundary value problems
4.9 Summary | 4.7.1: Charge induced in ground plane by overhead conductor | Streaming:
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| Chapter 5: Electroquasistatic fields from the boundary value point of view (PDF) |
5.0 Introduction
5.1 Particular and homogeneous solutions to Poisson's and Laplace's equations - Superposition to satisfy boundary conditions
- Capacitance matrix
5.2 Uniqueness of solutions of Poisson's equation
5.3 Continuity conditions
5.4 Solutions to Laplace's equation in Cartesian coordinates
5.5 Modal expansions to satisfy boundary conditions
5.6 Solutions to Poisson's equation with boundary conditions
5.7 Solutions to Laplace's equation in polar coordinates
5.8 Examples in polar coordinates - Simple solutions
- Azimuthal modes
- Radial modes
5.9 Three solutions to Laplace's equation in spherical coordinates
5.10 Three-dimensional solutions to Laplace's equation - Cartesian coordinate product solutions
- Modal expansion in Cartesian coordinates
- Modal expansion in other coordinates
5.11 Summary | 5.5.1: Capacitance attenuator | Streaming:
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| Chapter 6: Polarization (PDF) |
6.0 Introduction
6.1 Polarization density
6.2 Laws and continuity conditions with polarization - Polarization current density and Ampere's law
- Displacement flux density
6.3 Permanent polarization
6.4 Polarization constitutive laws
6.5 Fields in the presence of electrically linear dielectrics - Capacitance
- Induced polarization charge
6.6 Piece-wise uniform electrically linear dielectrics - Uniform dielectrics
- Piece-wise uniform dielectrics
6.7 Smoothly inhomogeneous electrically linear dielectrics
6.8 Summary | 6.6.1: An artificial dielectric | Streaming:
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| Chapter 7: Conduction and electroquasistatic charge relaxation (PDF) |
7.0 Introduction
7.1 Conduction constitutive laws - Ohmic conduction
- Unipolar conduction
7.2 Steady Ohmic conduction - Continuity conditions
- Conductance
- Qualitative view of fields in conductors
7.3 Distributed current sources and associated fields - Distributed current source singularities
- Fields associated with current source singularities
- Method of images
7.4 Superposition and uniqueness of steady conduction solutions - Superposition to satisfy boundary conditions
- The conductance matrix
- Uniqueness
7.5 Steady currents in piece-wise uniform conductors - Analogy to fields in linear dielectrics
- Inside-outside approximations
7.6 Conduction analogs - Mapping fields that satisfy Laplace's equation
7.7 Charge relaxation in uniform conductors - Net charge on bodies immersed in uniform materials
7.8 Electroquasistatic conduction laws for inhomogeneous material - Evolution of unpaired charge density
- Electroquasistatic potential distribution
- Uniqueness
7.9 Charge relaxation in uniform and piece-wise uniform systems - Fields in regions having uniform properties
- Continuity conditions in piece-wise uniform systems
- Nonuniform fields in piece-wise uniform systems
7.10 Summary | 7.5.1: Distribution of unpaired charge (Courtesy of Education Development Center, Inc. Used with permission.) | Streaming:
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7.5.2: Rotation of an insulating rod in a steady current (Courtesy of Education Development Center, Inc. Used with permission.) | Streaming:
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7.7.1: Relaxation of charge on particle in Ohmic conductor (Courtesy of Education Development Center, Inc. Used with permission.)
7.7.1 Supplement: Van de Graaff and Kelvin generators (Courtesy of Education Development Center, Inc. Used with permission.) | Streaming:
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7.7.2: Electrostatic precipitation | Streaming:
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| Chapter 8: Magnetoquasistatic fields: superposition integral and boundary value points of view (PDF) |
8.0 Introduction - Vector field uniquely specified
8.1 The vector potential and the vector Poisson equation - Two-dimensional current and vector potential distributions
8.2 The Biot-Savart superposition integral - Stick model for computing fields of electromagnet
8.3 The scalar magnetic potential - The scalar potential of a current loop
8.4 Magnetoquasistatic fields in the presence of perfect conductors - Boundary conditions and evaluation of induced surface current density
- Voltage at the terminals of a perfectly conducting coil
- Inductance
8.5 Piece-wise magnetic fields
8.6 Vector potential and the boundary value point of view - Vector potential for two-dimensional fields
- Vector potential for axisymmetric fields in spherical coordinates
- Boundary value solution by "Inspection"
- Method of images
- Two-dimensional boundary value problems
8.7 Summary | 8.2.1: Field of a circular cylindrical solenoid | Streaming:
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8.2.2: Field of square pair of coils | Streaming:
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8.4.1: Surface used to define the flux linkage | Streaming:
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8.5.1: Field and inductance of a spherical coil | Streaming:
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8.6.1: Surface currents induced in ground plane by overhead conductor | Streaming:
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8.6.2: Inductive attenuator | Streaming:
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| Chapter 9: Magnetization (PDF) |
9.0 Introduction
9.1 Magnetization density
9.2 Laws and continuity conditions with magnetization - Faraday's law including magnetization
- Magnetic flux density
- Terminal voltage with magnetization
9.3 Permanent magnetization
9.4 Magnetization constitutive laws
9.5 Fields in the presence of magnetically linear insulating materials - Inductance in the presence of linearly magnetizable materials
- Induced magnetic charge: demagnetization
9.6 Fields in piece-wise uniform magnetically linear materials - Excitation in region of high permeability
- Excitation in region of low permeability
9.7 Magnetic circuits - Electrical terminal relations and characteristics
9.8 Summary | 9.4.1: Measurement of B-H characteristic | Streaming:
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| Chapter 10: Magnetoquasistatic relaxation and diffusion (PDF) |
10.0 Introduction
10.1 Magnetoquasistatic electric fields in systems of perfect conductors
10.2 Nature of fields induced in finite conductors
10.3 Diffusion of axial magnetic fields through thin conductors
10.4 Diffusion of transverse magnetic fields through thin conductors - Response to a step in applied field
10.5 Magnetic diffusion laws 10.6 Magnetic diffusion transient response - Product solutions to the one-dimensional diffusion equation
10.7 Skin effect
10.8 Summary | 10.0.1: Nonuniqueness of voltage in a magnetoquasistatic (MQS) system | Streaming:
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10.2.1: Edgerton's boomer | Streaming:
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10.4.1: Currents induced in a conducting shell | Streaming:
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10.7.1: Skin effect | Streaming:
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| Chapter 11: Energy, power flow, and forces (PDF) |
11.0 Introduction - Power flow in a circuit
- Overview
11.1 Integral and differential conservation statements
11.2 Poynting's theorem - Systems composed of perfect conductors and free space
11.3 Ohmic conductors with linear polarization and magnetization - An alternative conservation theorem for electroquasistatic systems
- Poynting power density related to circuit power input
- Poynting flux and electromagnetic radiation
11.4 Energy storage - Energy densities
- Energy storage in terms of terminal variables
11.5 Electromagnetic dissipation - Energy conservation for temporarily periodic systems
- Induction heating
- Dielectric heating
- Hysteresis losses
11.6 Electrical forces on macroscopic media
11.7 Macroscopic magnetic forces - Reciprocity conditions
- Finding the coenergy
- Evaluation of the force
- The torque of electrical origin
11.8 Forces on macroscopic electric and magnetic dipoles - Force on an electric dipole
- Force on electric charge derived from energy principle
- Force on a magnetic charge and magnetic dipole
- Comparison of Coulomb's force to the force on a magnetic dipole
11.9 Macroscopic force densities - The Lorentz force density
- The Kelvin polarization force density
- The Kelvin magnetization force density
- Alternative force densities
11.10 Summary | 11.6.2: Force on a liquid dielectric (Courtesy of Education Development Center, Inc. Used with permission.) | Streaming:
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11.7.1: Steady state magnetic levitation | Streaming:
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| Chapter 12: Electrodynamic fields: the superposition integral point of view (PDF) |
12.0 Introduction
12.1 Electrodynamic fields and potentials - Superposition principle
- Continuity conditions
12.2 Electrodynamic fields of source singularities - Potential of a point charge
- Electric dipole field
- Electric dipole in the sinusoidal steady state
- The far-field and uniformly polarized plane waves
- Magnetic dipole field
12.3 Superposition integral for electrodynamic fields - Transient response
- Sinusoidal steady state response
12.4 Antennae radiation fields in the sinusoidal steady state - Distributed current distribution
- Arrays
- Dipoles in broadside array
- Dipoles in end-fire array
- Finite dipoles in end-fire array
- Gain
12.5 Complex Poynting's theorem and radiation resistance - Complex Poynting's theorem
- Radiation resistance
12.6 Periodic sheet-source fields: uniform and nonuniform plane waves - Transverse magnetic (TM) fields
- Product solutions to the Helmholtz equation
- Transverse electric (TE) fields
12.7 Electrodynamic fields in the presence of perfect conductors - Method of images
- Quarter-wave antenna above a ground-plane
- Two-element array over ground plane
- Ground-plane with reflector
- Boundaries at the nodes of standing waves
12.8 Summary | | | |
| Chapter 13: Electrodynamic fields: the boundary value point of view (PDF) |
13.0 Introduction
13.1 Introduction to transverse electromagnetic (TEM) waves - The magnetoquasistatic (MQS) limit
The MQS approximation - The electroquasistatic (EQS) limit
- The EQS approximation
13.2 Two-dimensional modes between parallel-plates
13.3 Transverse (TE) and transverse magnetic (TM) standing waves between parallel plates
13.4 Rectangular waveguide modes
13.5 Dielectric waveguides: optical fibers
13.6 Summary | 13.1.1: Visualization of standing waves | Streaming:
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| Chapter 14: One-dimensional wave dynamics (PDF) |
14.0 Introduction
14.1 Distributed parameter equivalents and models - Plane waves
- Ideal transmission line
- Quasi-one-dimensional models
14.2 Transverse electromagnetic waves - No TEM fields in hollow pipes
- Power-flow and energy storage
14.3 Transients on infinite transmission lines - Response to initial conditions
14.4 Transients on bounded transmission lines 14.5 Transmission lines in the sinusoidal steady state - Transmission line impedance
14.6 Reflection coefficient representation of transmission lines - Smith chart
- Standing wave ratio
- Admittance in the reflection-coefficient plane
14.7 Distributed parameter equivalents and models with dissipation
14.8 Uniform and TEM waves in Ohmic conductors - Displacement current much greater than conduction current
- Conduction current much greater than displacement current
14.9 Quasi-one-dimensional models - Charge diffusion transmission-line
- Skin-depth small compared to all dimensions of interest
14.10 Summary | | | |
| Chapter 15: Overview of electromagnetic fields (PDF) |
15.0 Introduction
15.1 Source and material configurations - Incremental dipoles
- Planar periodic configurations
- Cylindrical and spherical
- Fields between plane parallel plates
- Axisymmetric (coaxial) fields
- TM and TE fields with longitudinal boundary conditions
- Cylindrical conductor pair and conductor plane
15.2 Macroscopic media - Source representation of macroscopic media
- Material idealizations
- The relativity of perfection
15.3 Characteristic times, physical processes, and approximations - Self-consistency of approximate laws
- Similitude and Maxwell's equations
- Characteristic times and lengths
15.4 Energy, power, and force | | | |