Maxwell's equations / / Paul G. Huray

• Record Nr.: UNINA9910877278403321
• Autore: Huray Paul G. <1941->
• Pubbl/distr/stampa: Hoboken, N.J., : Wiley, : IEEE Press, c2010
• ISBN: 0-470-54990-4; 9786613331908; 1-283-33190-X
• Descrizione fisica: 1 online resource (310 p.)
• Disciplina: 530.14/1
• Soggetti: Maxwell equations
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 Current Density ; and Ohm's Law -- 5.2 Relation to Circuit Parameters -- 5.3 Superconductivity -- 5.4 Free Electron Gas Theory -- 5.5 Band Theory -- 5.6 Equation of Continuity -- 5.7 Microscopic View of Ohm's Law -- 5.8 Power Dissipation and Joule's Law -- 5.9 Boundary Condition for Current Density -- 5.10 Resistance/Capacitance Calculations -- Endnotes -- 6 Static Magnetic Fields -- Introduction -- 6.1 Magnetic Force -- 6.2 Magnetostatics in Free Space -- 6.3 Magnetic Vector Potential -- 6.4 The Biot-Savart Law.; 6.5 Historical Conclusions -- 6.6 Atomic Magnetism -- 6.7 Magnetization -- 6.8 Equivalent Surface Current Density -- 6.9 Equivalent Magnetic Monopole Charge Density -- 6.10 Magnetic Field Intensity and Permeability -- 6.11 Ferromagnetism -- 6.12 Boundary Conditions for Magnetic Fields -- 6.13 Inductance and Inductors -- 6.14 Torque and Energy -- Endnotes -- 7 Time-Varrying Fields -- 7.1 Faraday's Law of Induction -- 7.2 E&M Equations before Maxwell -- 7.3 Maxwell's Displacement Current -- 7.4 Integral Form of Maxwell's Equations -- 7.5 Magnetic Vector Potential -- 7.6 Solution of the Time-Dependent Inhomogeneous Potential Wave Equations -- 7.7 Electric and Magnetic Field Equations for Source-Free Problems -- 7.8 Solutions for the Homogeneous Wave Equation -- 7.9 Particular Solution for the Inhomogeneous Wave Equation -- 7.10 Time Harmonic Fields -- 7.11 Electromagnetic Spectrum -- 7.12 Electromagnetic Boundary Conditions -- 7.13 Particular Solution for the Wave Equation with Inhomogeneous Boundary Conditions -- 7.14 Memristors -- 7.15 Electric Vector Potential -- APPENDIX A: MEASUREMENT ERRORS -- APPENDIX B: GRAPHICS AND CONFORMAL MAPPING -- APPENDIX C: VECTORS, MATRICEES, ORTHOGONAL FUNCTIONS -- BIBLIOGRAPHY -- Index.
• Sommario/riassunto: 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 a