Interpretation of Classical Electromagnetism de G. Rosser

Interpretation of Classical Electromagnetism

G. Rosser

The aim of this book is to interpret all the laws of classical electromagnetism in a modern coherent way. In a typical undergraduate course using vector analysis, the students finally end up with Maxwell's equations, when they are often exhausted after a very long course, in which full discussions are properly given of the full range of applications of individual laws, each of which is important in its own right. As a result, many students do not appreciate how limited is the experimental evidence on the basis of which Maxwell's equations are normally developed and they do not always appre ciate the underlying unity of classical electromagnetism, before they go on to graduate courses in which Maxwell's equations are taken as axiomatic. This book is designed to be used between such an undergraduate course and graduate courses. It is written by an experimental physicist and is intended to be used by physicists, electrical engineers and applied mathematicians.

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Cuprins

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.