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Electromagnetism
Electromagnetism, Second Edition is suitable for a first course in electromagnetism, whilst also covering many topics frequently encountered in later courses. The material has been carefully arranged and allows for flexibility in its use for courses of different length and structure. A knowledge of calculus and an elementary knowledge of vectors is assumed, but the mathematical properties of the differential vector operators are described in sufficient detail for an introductory course, and their physical significance in the context of electromagnetism is emphasised. In this Second Edition the authors give a fuller treatment of circuit analysis and include a discussion of the dispersion of electromagnetic waves. Electromagnetism, Second Edition features:
The application of the laws of electromagnetism to practical problems such as the behaviour of antennas, transmission lines and transformers.
Sets of problems at the end of each chapter to help student understanding, with hints and solutions to the problems given at the end of the book.
Optional "starred" sections containing more specialised and advanced material for the more ambitious reader.
An Appendix with a thorough discussion of electromagnetic standards and units.
Recommended by many institutions. Electromagnetism. Second Edition has also been adopted by the Open University as the course book for its third level course on electromagnetism.
The Manchester Physics Series General Editors: D. J. Sandiford; F. Mandl; A. C. Phillips Department of Physics and Astronomy, University of Manchester Properties of Matter B. H. Flowers and E. Mendoza Optics Second Edition F. G. Smith and J. H. Thomson Statistical Physics Second Edition F. Mandl Electromagnetism Second Edition I. S. Grant and W. R. Phillips Statistics R. J. Barlow Solid State Physics Second Edition J. R. Hook and H. E. Hall Quantum Mechanics F. Mandl Particle Physics Second Edition B. R. Martin and G. Shaw the Physics of Stars Second Edition A. C. Phillips Computing for Scientists R. J. Barlow and A. R. Barnett.
Autorentext
I. S. Grant and W. R. Phillips are the authors of Electromagnetism, 2nd Edition, published by Wiley.
Klappentext
Electromagnetism, Second Edition is suitable for a first course in electromagnetism, whilst also covering many topics frequently encountered in later courses. The material has been carefully arranged and allows for flexibility in its use for courses of different length and structure. A knowledge of calculus and an elementary knowledge of vectors is assumed, but the mathematical properties of the differential vector operators are described in sufficient detail for an introductory course, and their physical significance in the context of electromagnetism is emphasised. In this Second Edition the authors give a fuller treatment of circuit analysis and include a discussion of the dispersion of electromagnetic waves. Electromagnetism, Second Edition features:
Zusammenfassung
Electromagnetism Electromagnetism, Second Edition is suitable for a first course in electromagnetism, whilst also covering many topics frequently encountered in later courses. The material has been carefully arranged and allows for flexibility in its use for courses of different length and structure. A knowledge of calculus and an elementary knowledge of vectors is assumed, but the mathematical properties of the differential vector operators are described in sufficient detail for an introductory course, and their physical significance in the context of electromagnetism is emphasised. In this Second Edition the authors give a fuller treatment of circuit analysis and include a discussion of the dispersion of electromagnetic waves. Electromagnetism, Second Edition features:
Inhalt
1 Force and Energy in Electrostatics
1.1 Electric Charge 2
1.2 The Electric Field 6
1.3 Electric Fields in Matter 10
1.3.1 The Atomic Charge Density 10
1.3 2 The Atomic Electric Field 11
1.3.3 The Macroscopic Electric Field 13
1.4 Gauss' Law 16
1.4.1 The Flux of a Vector Field 17
1.4.2 The Flux of the Electric Field out of a Closed Surface 19
1.4.3 The Divergence of a Vector Field 24
1.4.4 The Differential Form of Gauss' Law 26
1.5 Electrostatic Energy 28
1.5.1 The Electrostatic Potential 28
1.5.2 The Electric Field as the Gradient of the Potential 31
1.5.3 The Dipole Potential 35
1.5.4 Energy Changes Associated with the Atomic Field 38
1.5.5 Capacitors, and Energy in Macroscopic Fields 40
1.5.6 Energy Stored by a Number of Charged Conductors 44
Problems 1 46
2 Dielectrics
2.1 Polarization 49
2.2 Relative Permittivity and Electric Susceptibility 55
2.2.1 The Local Field 59
2.2.2 Polar Molecules 60
2.2.3 Non-polar Liquids 67
2.3 Macroscopic Fields in Dielectrics 70
2.3.1 The Volume Density of Polarization Charge 71
2.3.2 The Electric Displacement Vector 73
2.3.3 Boundary Conditions for D and E 76
2.4 Energy in the Presence of Dielectrics 79
2.4.1 Some Further Remarks about Energy and Forces 80
Problems 2 82
3 Electrostatic Field Calculations
3.1 Poisson's Equation and Laplace's Equation 85
3.1.1 The Uniqueness Theorem 88
3.1.2 Electric Fi…