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Electrostatics - Magnetostatic field and quasi-stationary electromagnetic fields - Circuit analysis - Electromagnetic waves - Relativity, particle-field interactions.
After a brief introduction into the theory of electromagnetic fields and the definition of the field quantities the book teaches the analytical solution methods of Maxwell’s equations by means of several characteristic examples. The focus is on static and stationary electric and magnetic fields, quasi stationary fields, and electromagnetic waves. For a deeper understanding, the many depicted field patterns are very helpful. The book offers a collection of problems and solutions which enable the reader to understand and to apply Maxwell’s theory for a broad class of problems including classical static problems right up to waveguide eigenvalue problems.
This Third Edition of the book contains more than 60 new problems over and above the original 480 problems of the Second Edition. The additional problems cover the whole range of new topics which will also be introduced in the third edition of the author’s main textbook titled Electromagnetism: Theory and Applications. There are some other new problems necessary to further enhance the understanding of the topics of importance already existing in the book. There has been no change in the philosophy of this book. It has been designed to serve as a companion volume to the main text to help students gain a thorough quantitative understanding of EM concepts that are somewhat difficult to learn. The problems included, as a result of the author’s long industrial and academic experience, illuminate the concepts developed in the main text. Besides meeting the needs of undergraduate students of electrical engineering and postgraduate students and researchers in physics, the book will also be immensely useful to engineers and applied physicists in industry. WHAT IS NEW TO THIS EDITION? 1. A number of new problems on evaluation of a.c. resistance and reactance due to skin effect in cylindrical transmission line configurations, for which the cylindrical polar coordinate system cannot be used. 2. New problems on design and optimization of permanent magnets (now being used in the development of new permanent magnet machines) by using Fröhlich–Kennelly equation for representing the demagnetizing curve and Evershed criterion for optimizing the magnet dimensions and its material volume. 3. Some problems on applications of vector analysis to different geometrical configurations. 4. Some problems on Electrostatics and Magnetostatics in which the method of images has been used as auxiliary support. 5. Nearly 18–20 new problems in the chapter on Electromagnetic Induction making it fully comprehensive and covering all facets of electromagnetic induction. This chapter now contains more than 60 solved problems, none of which are of the formula substitution type, and include problems ranging from annular homopolar machines to phenomenon of pinch effect, identification and separation of flux-linkage as well as flux cutting effects, etc. 6. Some problem on Electromagnetic Waves dealing with surface current speed. 7. Problems on Lorentz transformation in the chapter titled Electromagnetism and Special Relativity.
Field theory is an important topic in theoretical physics, which is studied in the physical and physico-mathematical departments of universities. Therefore, lecturers are faced with the urgent task of not only providing students with information about the subject, but also to help them master the material at a deep qualitative level, by presenting the specific features of general approaches to the statement and the solution of problems in theoretical physics. One of the ways to study field theory is the practical one, where the students can deepen their knowledge of the theoretical material and develop problem-solving skills. This book includes a concise theoretical summary of the main branches of field theory and electrodynamics, worked examples, and some problems for the student to solve.The book is written for students of theoretical and applied physics, and corresponds to the curricula of the theoretical courses 'Field theory' and 'Electrodynamics' for physics undergraduates. It can also be useful for students of other disciplines, in particular, those in which physics is one of the base subjects.
This book of problems and solutions is a natural continuation of Ilie and Schrecengost's first book Electromagnetism: Problems and Solutions. As with the first book, this book is written for junior or senior undergraduate students, and for graduate students who may have not studied electrodynamics yet and who may want to work on more problems and have an immediate feedback while studying. This book of problems and solutions is a companion for the student who would like to work independently on more electrodynamics problems in order to deepen their understanding and problem solving skills and perhaps prepare for graduate school. This book discusses main concepts and techniques related to Maxwell's equations, conservation laws, electromagnetic waves, potentials and fields, and radiation.
This book contains 157 problems in classical electromagnetism, most of them new and original compared to those found in other textbooks. Each problem is presented with a title in order to highlight its inspiration in different areas of physics or technology, so that the book is also a survey of historical discoveries and applications of classical electromagnetism. The solutions are complete and include detailed discussions, which take into account typical questions and mistakes by the students. Without unnecessary mathematical complexity, the problems and related discussions introduce the student to advanced concepts such as unipolar and homopolar motors, magnetic monopoles, radiation pressure, angular momentum of light, bulk and surface plasmons, radiation friction, as well as to tricky concepts and ostensible ambiguities or paradoxes related to the classical theory of the electromagnetic field. With this approach the book is both a teaching tool for undergraduates in physics, mathematics and electric engineering, and a reference for students wishing to work in optics, material science, electronics, plasma physics.