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Core Electromagnetics : Master's Series in Physics and Astronomy - David S. Betts

Core Electromagnetics

Master's Series in Physics and Astronomy

Hardcover Published: 3rd February 2000
ISBN: 9780748406234
Number Of Pages: 160

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Core Electrodynamics is an advanced textbook that engages the reader in the elegance of electrodynamics and special relativity, whilst giving them the tools to begin graduate study. The book is written specifically for the advanced undergraduate and the postgraduate/Master's student. After some revision matter, the book's core material links elementary electromagnetic concepts with relativity and field theory, introducing the key concepts of tensors and tensor calculus. Core Electrodynamics provides the basis for graduate study in this particular area - in this case field theory, high energy astrophysics, general relativity, and quantum electrodynamics.The author includes self-testing revision matter to aid student learning and has written this book in an immensely clear and concise manner, specifically for use on Master's courses.

List of figuresp. xi
Series prefacep. xiii
Prefacep. xv
A brief tour of electromagnetismp. 1
The building blocksp. 1
Maxwell I and IIp. 3
Flux of a vector fieldp. 5
Flux of Ep. 7
Flux of Bp. 11
Conservative and non-conservative fieldsp. 12
Maxwell III and IVp. 14
Faraday's law and Galilean invariancep. 14
Ampere's law and conservation of chargep. 18
Electromagnetic wavesp. 20
Conservation equationsp. 21
Field energy and momentump. 22
Tensors and conservation equationsp. 22
Momentum flux density tensorp. 22
Momentum flux, gas pressure and fluid equationsp. 26
Cartesian tensors: some definitionsp. 28
Field momentum and Maxwell stressp. 30
Energy conservation: Poynting's theoremp. 31
Momentum conservation: Maxwell stressp. 33
Radiation pressurep. 35
A frame-invariant electromagnetismp. 39
The Lorentz transformationp. 40
The moving charge and wire experimentp. 45
Maxwell in terms of potentialsp. 50
Generalized coordinatesp. 51
Four-vectors and four-vector calculusp. 55
Some mechanics: Newton's lawsp. 55
Some four-vector calculusp. 58
A frame-invariant electromagnetismp. 60
Charge conservationp. 60
A manifestly covariant electromagnetismp. 61
The field tensorsp. 63
Invariant form for E and B: the EM field tensorp. 63
Maxwell's equations in invariant formp. 66
Conservation of energy-momentump. 70
Lorentz forcep. 71
Manifestly covariant electrodynamics: a summaryp. 73
Transformation of the fieldsp. 74
Field from a moving point chargep. 75
Retarded potentialp. 78
Revision problemsp. 84
Static magnetic fieldsp. 84
Static electric fieldsp. 85
Conservation and Poynting's theoremp. 85
The wave equation: linearity and dispersionp. 86
Free space EM waves Ip. 87
Free space EM waves IIp. 88
EM waves in a dielectricp. 88
Dielectrics and polarizationp. 88
EM waves in a conductor: skin depthp. 89
Cavity resonatorp. 89
Solutions to revision problemsp. 90
Advanced problemsp. 103
Maxwell stress tensorp. 103
Liouville and Vlasov theorems: a conservation equation for phase spacep. 104
Newton's laws and the wave equation under Galilean transformationp. 104
Transformation of the fieldsp. 104
Metric for flat space-timep. 105
Length of the EM field tensor in space-timep. 106
Alternative form for the Maxwell homogeneous equationsp. 106
Lorentz transformation of the EM field tensorp. 106
Solutions to advanced problemsp. 108
Vector identitiesp. 121
Tensorsp. 124
SI unitsp. 131
Gaussian-SI converterp. 133
Physical constants (SI)p. 138
Further readingp. 139
Indexp. 140
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780748406234
ISBN-10: 0748406239
Series: Master's Series in Physics and Astronomy
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 160
Published: 3rd February 2000
Publisher: CRC PR INC
Country of Publication: GB
Dimensions (cm): 24.18 x 16.15  x 1.68
Weight (kg): 0.36
Edition Number: 1

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