Principles of Magnetostatics

This 2016 book, now OA, explains the mathematical theory behind the forces and fields resulting from the steady electrical currents.

Richard C. Fernow (Author)

9781009291163, Cambridge University Press

Paperback / softback, published 9 February 2023

314 pages
25.3 x 17.7 x 1.6 cm, 0.61 kg

'[Principles of Magnetostatics] is a well-written combination of physics theory, application, and magnet design. The work will be of interest to physicists, engineers, and (of course) magnet designers. Also, an undergraduate that has completed the typical introductory physics and mathematics sequence should be adequately prepared to handle the presented material. … based on the examples given and the interesting design challenges, the reviewer believes this text can work well as a supplement to an upper-division physics course in electricity and magnetism. It will certainly be an excellent starting point for any individual interested in pursuing studies in magnet design and field analysis.' E. Kincanon, Choice

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.

Preface
1. Basic concepts
2. Magnetic materials
3. Potential theory
4. Conductor-dominant transverse fields
5. Complex analysis of transverse fields
6. Iron-dominant transverse fields
7. Axial field configurations
8. Periodic magnetic channels
9. Permanent magnets
10. Time-varying fields
11. Numerical methods
Appendices: A. Symbols and SI units
B. Vector analysis
C. Bessel functions
D. Legendre functions
E. Complex variable analysis
F. Complete elliptic integrals
Index.

Subject Areas: Particle & high-energy physics [PHP], Nuclear physics [PHN], Electricity, electromagnetism & magnetism [PHK], Classical mechanics [PHD]