Solved Problems in Electromagnetics

Front Cover

This book presents the fundamental concepts of electromagnetism through problems with a brief theoretical introduction at the beginning of each chapter. The present book has a strong didactic character. It explains all the mathematical steps and the theoretical concepts connected with the development of the problem. It guides the reader to understand the employed procedures to learn to solve the exercises independently.

The exercises are structured in a similar way: The chapters begin with easy problems increasing progressively in the level of difficulty. This book is written for students of physics and engineering in the framework of the new European Plans of Study for Bachelor and Master and also for tutors and lecturers.

 

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Contents

1 A Mathematical Introduction
1
2 Static Electric Field in Vacuum
67
3 Static Electric Field in Dielectrics
121
4 Electric Current
164
5 Magnetostatics
223
6 Static Magnetic Field in Presence of Matter
313
8 Electromagnetic Induction
511
9 Energy of the Electromagnetic Field
567
11 Motion of Charged Particles in Electromagnetic Fields
627
12 Electromagnetic Waves
667
13 Reflection and Refraction
715
14 Wave Propagation in Anisotropic Media
749
Appendix A Matlab Programs
786
Appendix B Electric and Magnetic Properties of Several Materials
791
Bibliography
794
Index
799

10 Maxwells Equations
598

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About the author (2016)

Prof. Dr. Félix Salazar Bloise studied Physics at the Complutense University of Madrid (1987) and received his Ph.D. degree from the Polytechnic University of Madrid (UPM) in 1992. He was awarded the Ph.D. Prize in the academic year of 1993-94, and in 2004 he won the best textbook of the year award from the General Foundation of the University (FGU). In 1995 he was appointed Associate Professor of Applied Physics at the School of Mines of Madrid (ETSIM). During the periods of 1994-95 and 1997 he was a visiting assistant researcher at the Universität des Saarlandes. Since 2006, he currently is a visiting Professor at Lehrstuhl für Messsystem-und Sensortechnik (Technische Universität München-TUM) and in 2012-16 he has also been a visiting research scientist at Center for Research and Education in Optics and Lasers (CREOL) of the University of Central Florida. He teaches at UPM General Physics, Electrodynamics, and Solid State Physics, and lectures one international course at TUM. His scientific research is focused on the analysis of physical properties of systems by using random electromagnetic fields (speckle) and ultrasound techniques. He is co-author of scientific and technical papers and of several books, and holds some patents. He is a Fellow of the Deutsche Gesselschaft für angewandte Optik (DGaO), Arbeitskreis der Hochschullehrer für Messtechnik (AHMT), and the Optical Society of America (OSA).

Prof. Dr. Rafael Medina Ferro, born in Madrid (Spain) in 1961, has been teaching in Higher Technical School of Mining and Energy Engineering, in the Polytechnic University in Madrid since 1986. He was graduated in 1985 and got his PhD in 1989 in Mining Engineering from the Polytechnic University in Madrid. His teaching includes topics in mathematics, physics and mechanical vibrations. He is author and co-author of five books for university students. One of these books won the award of the best textbook from the Polytechnic University in Madrid in 2004. His research has been developed mainly in mechanical vibrations and wave propagation in materials, although he also worked in a European Project about electrostatic effects in powder mixtures. His later research involved impact-echo studies and blasting effects in buildings.

Prof. Dr. Ana Bayón Rojo received her Master of Mining Engineering in 1985 from the Polytechnic University of Madrid (UPM). After working in industry she returned to the University (UPM) where she obtained her Ph.D. in 1992. Her research was recognized by the Ph.D. Prize in the academic year 1992-93. In 1992-93 she was a visiting Assistant Professor at the Institut Français du Pétrol (IFP) in Paris. In 1995 she was appointed Associate Professor of Applied Physics at the School of Mines of Madrid (ETSIM). Her teaching field includes General Physics, Electrodynamics, and Mechanical vibrations, in addition to doctoral courses about non-destructive measurement techniques. In 2004 she was awarded the best textbook of the year for university students by the General Foundation of the University (FGU). Her scientific research is focused on vibration analysis by using optical and acoustical methods. She is co-author of scientific articles, book chapters, and of three books. She is a Fellow of the Acoustical Society of America (JASA).

Prof. Dr. Francisco Gascón Latasa received his Master of Science at the University of Zaragoza in 1958. In the following four years he studied nuclear fusion, obtaining his Ph.D. in 1962. In this year he received a grant from the French Government (ASTEF) for researching nuclear fusion at the C. F. E. Fontenay-aux-Roses (France). In 1963 he was a visiting assistant researcher at the L’École Nationale Supérieure d'Électrotechnique (ENSEEIHT). In 1964, after pausing briefly at the University of Barcelona, Dr. Latasa was elected Associate Professor at the ETUI Industrial of Vitoria. In 1966 he was visiting Professor at the Clarendon Laboratory (Oxford) for research in superconductivity. In 1967 he began work at the ETS Arquitectura in Sevilla until 1978, when he got a full professorship in Applied Physics at the ETSI Minas of Madrid. In 1995 he returned to the University of Sevilla and in 2009 he assumed Emeritus status. He has lectured in many different fields such as Theoretical Physics, Mechanics, Thermodynamics, General Physics, Electrodynamics, and Physics of Continuum Media. He is author of the book Fundamental of Thermotechnics (1976) and in 2004 the book Problems of Electricity and Magnetism was awarded the best work of the year for students by the General Foundation of the Polytechnic University of Madrid (FGU). His main research fields are holographic and speckle interferometry and the vibration analysis, where he has published many papers and book chapters. He is a Fellow of the Acoustical Society of America (JASA).