Overview

This book presents Maxwell's equations and the laws of classical electromagnetism starting from the equations for the electric and magnetic fields due to an accelerating classical point charge. A microscopic perspective is used to interpret the electric field due to a current element, the origin of induced electromagnetic fields and detached electric field lines, motional electromagnetic fields, the mode of action of inductors and capacitors in AC circuits, conduction current flow, the Biot-Savart law, etc. A review of energy methods is presented in a way consistent with this microscopic approach, leading up to discussions of the conservation laws for a system of spatially separated moving charges and the Poynting vector hypothesis. After extending Maxwell's equations to field points inside dielectrics and magnetic materials, a brief review of special relativity is given stressing those topics that illustrate the essential unity of classical electromagnetism and special relativity. Audience: This textbook is designed to be used between a course in classical electromagnetism in which vector analysis has been introduced, and an advanced graduate course in electromagnetism. It will also be of interest to research physicists and to graduate students as a complement to more traditional courses.

Full Product Details

Author:   G. Rosser
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1997
Volume:   78
Dimensions:   Width: 15.50cm , Height: 2.30cm , Length: 23.50cm
Weight:   0.682kg
ISBN:  

9789048147397

ISBN 10:   9048147395
Pages:   426
Publication Date:   05 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

1. A Typical Conventional Development of Maxwell’s Equations.- 2. The Scalar Potential ? and the Vector Potential A.- 3. The Electric and Magnetic Fields due to an Accelerating Classical Point Charge.- 4. Development of Maxwell’s Equations from the Expressions for the Electric and Magnetic Fields due to a Moving Classical Point Charge.- 5. Electric Fields due to Electrical Circuits.- 6. Magnetic Fields due to Electrical Circuits.- 7. Quasi-Stationary Phenomena and AC Theory.- 8. Forces, Energy and Electromagnetic Momentum.- 9. Stationary Dielectrics and Stationary Magnetic Materials.- 10. Special Relativity and Classical Electromagnetism.- Appendix A. Mathematical Methods.- A1. A summary of the formulae of vector analysis.- A1.1. Scalar and vector products.- A1.2. The gradient of a scalar.- A1.3. The divergence of a vector.- A1.4. The curl of a vector.- A1.5. The Laplacian operator.- A1.6. Some useful relations.- A1.7. Gauss’ mathematical theorem.- A1.8. Stokes’ theorem.- A1.9. Cylindrical coordinates.- A1.10. Spherical polar coordinates.- A2. The partial derivatives of macroscopic field variables.- A3. Some useful mathematical relations.- A4. The corrections to the differential form of the Biot-Savart law for steady currents.- Appendix B. Conduction Current Flow in Stationary Conductors.- B 1. Example of the mode of action of a source of emf.- B2. Location of the charge distributions associated with conduction current flow.- B3. Magnitudes of the surface and boundary charge distributions associated with conduction current flow.- B4. Models of conduction current flow in a stationary conductor.- B5. Energy propagation in DC circuits.- Appendix C. The Electric and Magnetic Fields due to an Accelerating Classical Point Charge.- Cl. Introduction.- C2. Calculationof the electric field.- C3. Calculation of the magnetic field.- Appendix E. The Transformations of Special. Relativity.

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