Maxwell's Equations

Informationen zum Autor Paul G. Huray is Professor of Electrical Engineering at the University of South Carolina where he has taught courses in engineering physics, electromagnetics, signal integrity, the mathematical methods of physics, advanced thermodynamics, and computer communications. Professor Huray introduced the first electromagnetics course to focus on signal integrity, and that program has produced more than eighty practicing signal integrity engineers now employed in academia, industry, and government. He earned his PhD in physics at the University of Tennessee in 1968, conducted research in the Solid State, Chemistry and Physics Divisions at the Oak Ridge National Laboratory, and has worked part-time for the Intel Corporation in developing the physical basis for barriers to circuits with bit rates up to 100 GHz. He has also worked at the Centre d'Études Nucléaires de Grenoble, at Technische Universität Wien, and at the White House Office of Science and Technology Policy. Klappentext An authoritative view of Maxwell's Equations that takes theory to practiceMaxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deducedMaxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers. Zusammenfassung Examines Maxwell's equations in their original 20 quaternion forms Provides color coordinated Causal electric and magnetic field quantities Discusses recent speculation on the existence and importance of memristors of several kinds in terms of their symmetric material properties and application in modern circuits. Inhaltsverzeichnis Acknowledgments. Introduction. 1 Foundations of Maxwell's Equations. 1.1 Historical Overview. 1.2 Role of Electromagnetic Field Theory. 1.3 Electromagnetic Field Quantities. 1.4 Units and Universal Constants. 1.5 Precision of Measured Quantities. 1.6 Introduction to Complex Variables. 1.7 Phasor Notation. 1.8 Quaternions. 1.9 Original Form of Maxell's Equations. 2 Vector Analysis. Introduction. 2.1 Addition and Subtraction. 2.2 Multiplication. 2.3 Triple Products. 2.4 Coordinate Systems. 2.5 Coordinate Transformations. 2.6 Vector Differentiation. 2.7 Divergence Theorem. 2.8 Stokes's Theorem. 2.9 Laplacian of a Vector Field. 3 Static Electric Fields. Introduction. 3.1 Properties of Electrostatic Fields. 3.2 Gauss's Law. 3.3 Conservation Law. 3.4 Electric Potential. 3.5 Electric Field for a System of Charges. 3.6 Electric Potential for a System of Charges. 3.7 Electric Field for a Continuous Distribution. 3.8 Conductor in a Static Electric Field. 3.9 Capaci...

Auteur

Paul G. Huray is Professor of Electrical Engineering at the University of South Carolina where he has taught courses in engineering physics, electromagnetics, signal integrity, the mathematical methods of physics, advanced thermodynamics, and computer communications. Professor Huray introduced the first electromagnetics course to focus on signal integrity, and that program has produced more than eighty practicing signal integrity engineers now employed in academia, industry, and government. He earned his PhD in physics at the University of Tennessee in 1968, conducted research in the Solid State, Chemistry and Physics Divisions at the Oak Ridge National Laboratory, and has worked part-time for the Intel Corporation in developing the physical basis for barriers to circuits with bit rates up to 100 GHz. He has also worked at the Centre d'Études Nucléaires de Grenoble, at Technische Universität Wien, and at the White House Office of Science and Technology Policy.

Texte du rabat
An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.

Résumé
Examines Maxwell's equations in their original 20 quaternion forms Provides color coordinated Causal electric and magnetic field quantities Discusses recent speculation on the existence and importance of memristors of several kinds in terms of their symmetric material properties and application in modern circuits.

Contenu

Acknowledgments. Introduction.

1 Foundations of Maxwell's Equations.

1.1 Historical Overview.

1.2 Role of Electromagnetic Field Theory.

1.3 Electromagnetic Field Quantities.

1.4 Units and Universal Constants.

1.5 Precision of Measured Quantities.

1.6 Introduction to Complex Variables.

1.7 Phasor Notation.

1.8 Quaternions.

1.9 Original Form of Maxell's Equations.

2 Vector Analysis.

Introduction.

2.1 Addition and Subtraction.

2.2 Multiplication.

2.3 Triple Products.

2.4 Coordinate Systems.

2.5 Coordinate Transformations.

2.6 Vector Differentiation.

2.7 Divergence Theorem.

2.8 Stokes's Theorem.

2.9 Laplacian of a Vector Field.

3 Static Electric Fields.

Introduction.

3.1 Properties of Electrostatic Fields.

3.2 Gauss's Law.

3.3 Conservation Law.

3.4 Electric Potential.

3.5 Electric Field for a System of Charges.

3.6 Electric Potential for a System of Charges.

3.7 Electric Field for a Continuous Distribution.

3.8 Conductor in a Static Electric Field.

3.9 Capacitance.

3.10 Dielectrics.

3.11 Electric Flux Density.

3.12 Dielectric Boundary Conditions.

3.13 Electrostatic Energy.

3.14 Electrostatic Field in a Dielectric.

Endnotes.

4 Solution of Electrostatic Problems.

Introduction.

4.1 Poisson's and Laplace's Equations.

4.2 Solutions to Poisson's and Laplace's Equations.

4.3 Green's Functions.

4.4 Uniqueness of the Electrostatic Solution.

4.5 Method of Images.

5 Steady Electric Currents.

5.1 Curren…