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Magnetostatics, the mathematical theory that describes the forces and fields resulting from the steady flow of electrical currents, has a long history. By capturing the basic concepts, and building towards the computation of magnetic fields, this book is a self-contained discussion of the major subjects in magnetostatics. Overviews of Maxwell's equations, the Poisson equation, and boundary value problems pave the way for dealing with fields from transverse, axial and periodic magnetic arrangements and assemblies of permanent magnets. Examples from accelerator and beam physics give up-to-date context to the theory. Both complex contour integration and numerical techniques for calculating magnetic fields are discussed in detail with plentiful examples. Theoretical and practical information on carefully selected topics make this a one-stop reference for magnet designers, as well as for physics and electrical engineering undergraduate students. This title, first published in 2016, has been reissued as an Open Access publication on Cambridge Core.
Magnetostatics. --- Electric charge and distribution --- Electromagnetism
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The subject of magnetostatics - the mathematical theory that describes the forces and fields resulting from the steady flow of electrical currents - has a long history. By capturing the basic concepts, and building towards the computation of magnetic fields, this book is a self-contained discussion of the major subjects in magnetostatics. Overviews of Maxwell's equations, the Poisson equation, and boundary value problems pave the way for dealing with fields from transverse, axial and periodic magnetic arrangements and assemblies of permanent magnets. Examples from accelerator and beam physics give up-to-date context to the theory. Furthermore, both complex contour integration and numerical techniques (including finite difference, finite element, and integral equation methods) for calculating magnetic fields are discussed in detail with plentiful examples. Both theoretical and practical information on carefully selected topics make this a one-stop reference for magnet designers, as well as for physics and electrical engineering undergraduate students.
Magnetostatics. --- Electric charge and distribution --- Electromagnetism
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Physique --- Physics --- Charge et distribution électriques. --- Electric charge and distribution --- Électrostatique --- Electrostatics
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This book is unique in occupying a gap between standard undergraduate texts and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation (and motivation), including meanfield theories and high-temperature and low-density expansions. It then proceeds by easy steps to the famous epsilon-expansion, ending up with the first-order corrections to critical exponents beyond mean-field theory. Nowadays, there is widespread interest in applications of renormalization methods to various topics ranging over soft condensed matter, engineering dynamics, traffic queueing and fluctuations in the stock market. Hence macroscopic systems are also included, with particular emphasis on the archetypal problem of fluid turbulence. The book is also unique in making this material accessible to readers other than theoretical physicists, as it requires only the basic physics and mathematics which should be known to most scientists, engineers and mathematicians.
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Professor Emanuel uses clear presentation to compare and facilitate understanding of two seminal standards, The IEEE Std. 1459 and The DIN 40110-2:2002-11. Through critical analysis of the most important and recent theories and review of basic concepts, a highly accessible guide to the essence of the standards is presented.Key features:. Explains the physical mechanism of energy flow under different conditions: single- and three-phase, sinusoidal and nonsinusoidal, balanced and unbalanced systems. Starts at an elementary level and becomes more complex, with six core chapters and six appendices to clarify the mathematical aspects. Discusses and recommends power definitions that played a significant historical role in paving the road for the two standards. Provides a number of original unsolved problems at the end of each chapter. Introduces a new nonactive power; the Randomness power.Power Definitions and the Physical Mechanism of Power Flow is useful for electrical engineers and consultants involved in energy and power quality. It is also helpful to engineers dealing with energy flow quantification, design and manufacturing of metering instrumentation; consultants working with regulations related to renewable energy courses and the smart grid; and electric utility planning and operation engineers dealing with energy bill structure. The text is also relevant to university researchers, professors, and advanced students in power systems, power quality and energy related courses.
Electric charge and distribution --- Wave mechanics. --- Electric power transmission. --- Mathematics. --- Electric power transmission --- Wave mechanics --- Electrodynamics --- Matrix mechanics --- Mechanics --- Molecular dynamics --- Quantum statistics --- Quantum theory --- Waves --- Electricity --- Power transmission, Electric --- Electric power systems --- Electric lines --- Electric power distribution --- Density, Electric --- Electric density --- Electric discharges --- Electrostatics --- Mathematics --- Transmission --- Electric charge and distribution.
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Expanding upon the ideas proposed in his seminal book, the author offers the treatment of the magnetohydrodynamic theory of spontaneous magnetic discontinuities. He shows how it can be used to explain the activity of the external magnetic fields of planets, interstellar gas clouds, galaxies, and the magnetic fields in laboratory plasmas.
Solar x-rays. --- Cosmic magnetic fields. --- Magnetostatics. --- Electric charge and distribution --- Electromagnetism --- Cosmic magnetism --- Extraterrestrial magnetic fields --- Magnetic fields (Cosmic physics) --- Astrophysics --- Magnetic fields --- Solar radiation --- X-rays --- Sun --- Corona.
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This text fills a gap between undergraduate and more advanced texts on quantum field theory. It covers a range of renormalization methods with a clear physical interpretation, proceeds to the epsilon-expansion and ends with the first-order corrections to critical exponents beyond mean-field theory.
Renormalization (Physics) --- Quantum field theory. --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Charge and mass renormalization --- Mass and charge renormalization --- Electric charge and distribution --- Mass (Physics) --- Physical measurements --- Quantum field theory --- Mathematical physics.
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