Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments
J. Pierrus
Abstract
Apart from an introductory chapter which focuses mainly on some important mathematical concepts and analytical techniques, this book consists entirely of questions and solutions on topics in classical electromagnetism. The questions are divided into three categories according to their ‘level of difficulty’, and the book should appeal to students who are at different stages in their respective degrees. A wide range of topics are treated which include: the basic experimental laws of electricity and magnetism, Maxwell’s equations, electric and magnetic fields in vacuum and in matter, electromagne ... More
Apart from an introductory chapter which focuses mainly on some important mathematical concepts and analytical techniques, this book consists entirely of questions and solutions on topics in classical electromagnetism. The questions are divided into three categories according to their ‘level of difficulty’, and the book should appeal to students who are at different stages in their respective degrees. A wide range of topics are treated which include: the basic experimental laws of electricity and magnetism, Maxwell’s equations, electric and magnetic fields in vacuum and in matter, electromagnetic waves with applications to waveguides and antennas, the electromagnetic potentials, multipole expansions and multipole moments, gauge transformations, electric circuits, electromagnetic radiation, the electromagnetic field tensor and covariance. The solutions are usually followed by a set of comments intended to stimulate inductive reasoning and provide additional information of interest (including points of historical significance). Both analytical and numerical techniques are used to obtain and analyse solutions. The computer calculations use Mathematica (version 10), and the relevant code is given in the text. The book will be useful to students and lecturers in undergraduate and graduate-level courses on classical electromagnetism and in computational physics.
Keywords:
electromagnetism electrodynamics,
Maxwell’s equation,
electromagnetic field,
electromagnetic wave electromagnetic potential,
electromagnetic gauge question with solution,
Lorentz transformation four-vector and four-tensor
Bibliographic Information
Print publication date: 2018 |
Print ISBN-13: 9780198821915 |
Published to Oxford Scholarship Online: October 2018 |
DOI:10.1093/oso/9780198821915.001.0001 |
Authors
Affiliations are at time of print publication.
J. Pierrus, author
Senior Lecturer, School of Chemistry and Physics, University of KwaZulu-Natal, South Africa
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