This is a textbook on electromagnetic fields and waves completely based on conceptual understanding of electromagnetics. The text provides operational knowledge and firm grasp of electromagnetic fundamentals aimed toward practical engineering applications by combining fundamental theory and a unique and comprehensive collection of as many as 888 conceptual questions and problems in electromagnetics. Conceptual questions are designed to strongly enforce and enhance both the theoretical concepts and understanding and problem-solving techniques and skills in electromagnetics.
Table of Contents
1 Electrostatic Field in Free Space. 1.1 Coulomb’s Law. 1.2 Electric Field Intensity Vector Due to Given Charge Distributions. 1.3 Electric Scalar Potential. 1.4 Differential Relationship Between the Field and Potential in Electrostatics, Gradient. 1.5 Gauss’ Law in Integral Form. 1.6 Differential Form of Gauss’ Law, Divergence. 1.7 Conductors in the Electrostatic Field. 1.8 Electrostatic Shielding 1.9 Charge Distribution on Metallic Bodies of Arbitrary Shapes. 1.10 Image Theory..2 Electrostatic Field in Dielectrics. 2.1 Polarization of Dielectrics. 2.2 Generalized Gauss’ Law and Permittivity.2.3 Dielectric–ielectric Boundary Conditions. 2.4 Analysis of Capacitors with Homogeneous Dielectrics.2.5 Analysis of Capacitors with Inhomogeneous Dielectrics. 2.6 Energy of an Electrostatic System.2.7 Dielectric Breakdown in Electrostatic Systems. 3 Steady Electric Currents. 3.1 Continuity Equation, Conductivity, and Ohm’s and Joule’s Laws in Local.Form. 3.2 Resistance, Conductance, and Ohm’s Law. 3.3 Boundary Conditions for Steady Currents. 3.4 Duality Relationships in the Steady Current Field. 3.5 Lossy Transmission Lines with Steady Currents. 4 Magnetostatic Field in Free Space. 4.1 Magnetic Force and Magnetic Flux Density Vector. 4.2 Biot-Savart Law. 4.3 Amp`ere’s Law in Integral Form. 4.4 Differential Form of Amp`ere’s Law, Curl. 4.5 Law of Conservation of Magnetic Flux. 4.6 Magnetic Vector Potential. 5 Magnetostatic Field in Material Media 5.1 Magnetization Current. 5.2 Generalized Amp`ere’s Law and Permeability. 5.3 Boundary Conditions for the Magnetic Field. 5.4 Image Theory for the Magnetic Field. 5.5 Magnetization Curves and Hysteresis. 5.6 Magnetic Circuits. 5.7 Magnetic Energy. 6 Time-Varying Electromagnetic Field. 6.1 Induced Electric Field Intensity Vector. 6.2 Faraday’s Law of Electromagnetic Induction. 6.3 Electromagnetic Induction Due to Motion and Total Induction. 6.4 Self-Inductance. 6.5 Mutual Inductance. 6.6 Displacement Current. 6.7 Maxwell’s Equations for the High-Frequency Electromagnetic Field. 6.8 Boundary Conditions for the High-Frequency Electromagnetic Field. 6.9 Time-Harmonic Electromagnetics. 6.10 Complex Representatives of Time-Harmonic Field and Circuit Quantities. 6.11 Lorenz Electromagnetic Potentials. 6.12 Instantaneous and Complex Poynting Vector, Poynting’s Theorem. 7 Uniform Plane Electromagnetic Waves. 7.1 Wave Equations. 7.2 Time-Domain Analysis of Uniform Plane Waves. 7.3 Time-Harmonic Uniform Plane Waves and Complex-Domain Analysis. 7.4 Arbitrarily Directed Uniform Plane Waves. 7.5 Theory of Time-Harmonic Waves in Lossy Media. 7.6 Good Dielectrics and Good Conductors. 7.7 Skin Effect. 7.8 Wave Propagation in Plasmas. 7.9 Dispersion and Group Velocity. 7.10 Polarization of Electromagnetic Waves. 8 Reflection and Transmission of Plane Waves. 8.1 Normal Incidence on a Perfectly Conducting Plane. 8.2 Normal Incidence on a Penetrable Planar Interface. 8.3 Oblique Incidence on a Perfect Conductor. 8.4 Oblique Incidence on a Dielectric Boundary. 9 Field Analysis of Transmission Lines. 9.1 Field Analysis of Lossless Transmission Lines. 9.2 Transmission Lines With Small Losses. 9.3 Evaluation of Primary and Secondary Circuit Parameters of Transmission. Lines. 9.4 Transmission Lines With Inhomogeneous Dielectrics. 10 Circuit Analysis of Transmission Lines. 10.1 Telegrapher’s Equations and Their Solution. 10.2 Reflection Coefficient for Transmission Lines. 10.3 Transmission-Line Impedance. 10.4 Short-Circuited, Open-Circuited, and Matched Transmission Lines. 10.5 The Smith Chart. 10.6 Transient Analysis of Transmission Lines with Step Excitations. 10.7 Analysis of Transmission.
Branislav M. Notaroš is a professor in the Department of Electrical and Computer Engineering at Colorado State University, where he also is director of the Electromagnetics Laboratory. He received a Ph.D. in electrical engineering from the University of Belgrade,Yugoslavia, in 1995. His research publications in computational and applied electromagnetics include more than 150 journal andconference papers. He is the author of textbooks Electromagnetics (2010) and MATLAB-Based Electromagnetics (2013), both with Pearson Prentice Hall. Prof. Notaroš served as general chair of FEM2012, Colorado, USA, and as guest editor of the “Special Issue on Finite Elements for Microwave Engineering,” in Electromagnetics, 2014. He was the recipient of the 1999 Institution of Electrical Engineers (IEE) Marconi Premium, 2005 Institute of Electrical and Electronics Engineers (IEEE) MTT-S Microwave Prize, 2005 UMass Dartmouth Scholar of the Year Award, 2012 Colorado State University System Board of Governors Excellence in Undergraduate Teaching Award, 2012 IEEE Region 5 Outstanding Engineering Educator Award, 2014 Carnegie Foundation for the Advancement of aching Colorado Professor of the Year Award, 2015 American Society for Engineering Education ECE Distinguished Educator Award, 2015 IEEE Undergraduate Teaching Award, and many other research and teaching awards.
"This book prevents the reader from learning by heart and encourages him to meditate on the concepts, which are what remains and helps in individual study and research."
—Fabrizio Frezza, "La Sapienza" University of Rome, Italy
"While the importance of Electromagnetics as a foundation of the entire field of Electronic and Electrical Engineering to the education of our students is unquestionably great, most students say that this is the most challenging subject in the EE curriculum. This is primarily because it is incredibly abstract and mathematically intense. Professor Notaroš’ book provides a winning solution to this problem by teaching all electromagnetics topics completely based on conceptual understanding of the material and not on abstract, dry, and too complicated pure mathematical formalisms and derivations."
—Dragan Indjin, University of Leeds, United Kingdom
"I have many electromagnetics textbooks on my shelf. Although everyone has a different opinion on which one they like, to be honest they are mostly the same. This is the first E&M book I have seen in a long time that is truly `different’ from the others."
—Morris Cohen, Georgia Institute of Technology, Atlanta, Georgia, USA
"The main strength of this book is that it teaches students physics and tests their knowledge through conceptual questions."
—Guennadi Kouzaev, Norwegian University of Science and Technology, Trondheim, Norway
"For many students, a significant roadblock to their learning and studying the theory and applications of electromagnetics in the understanding of electromagnetics at the conceptual level. Students lose their motivation to delve into the mathematical details of the subject, once they cannot understand the concepts behind the equations. With this book, Professor Notaros, one of the most distinguished educators in the area, is making a significant contribution to help students overcome this roadblock and truly appreciate the beauty of the subject."
—Costas Sarris, University of Toronto, Canada
"As manifested by its title, Conceptual Electromagnetics, this book focuses on conceptual understanding of EM theory. It helps students to understand the physical meanings of equations. This is very important for students in their future work. One may forget the equations after graduation. However, the conceptual understanding will be kept in mind and guide people on how to design EM related devices and systems, e.g. antennas, PCBs, wireless energy transform systems, etc."
—Xiaoyan Xiong, The University of Hong Kong
"Conceptual Electromagnetics follows an innovative and unique approach, centered on conceptual questions. The book’s rich collection of conceptual questions, supported by clear illustrations, will certainly provide much appreciated inspiration as well as directly usable material to instructors, to enhance their teaching and assessment for electromagnetic field theory courses. To students this will be a valuable resource to assist them in gaining a thorough understanding of electromagnetic field theory. Students could work through these conceptual questions either individually or in groups and might well enjoy it."
—Matthys M. Botha, Stellenbosch University, South Africa
"This is a special book that includes plenty of conceptual questions that force students to think about what they are learning in electromagnetics courses. It is designed to fill the gap between the mathematical theory and the physical understanding. It is a good supplement for problem-based learning activities."
—Ozlem Ozgun, Hacettepe University, Ankara, Turkey
"This book is remarkable for its accuracy and rigor."
—Sandra Zivanovic, Louisiana Tech University, Ruston, Louisiana, USA
"Excellent and complete coverage for the undergraduate-level electromagnetics instruction. From what I see, the material represents a re-organized version of the text that I was already delighted to use, with the conceptual questions inserted within the text (instead of being separately available to the students on-line). This format, with the concepts introduced and immediately followed with a mini-quiz for the reader’s verification of understanding, is an ideal way for material coverage prior to problem-solving which can be done in class or tutorials."
—Milica Popovic, McGill University, Montreal, Québec, Canada
"Conceptual Electromagnetics is definitely different than a traditional undergraduate electromagnetics textbook…. Personally, I was happy to see a refreshing approach to undergraduate electromagnetics instruction; it is an interesting exercise and probably a step in the right direction. The general idea of the book is to introduce the difficult topics of electromagnetics to the readers in a conceptual manner."
—IEEE Antennas & Propagation Magazine, December 2017
"[Conceptual Electromagnetics] provides abundant opportunities for instructors to introduce innovative lec-tures, in-class and homework assign-ments, and tests (including those for online distance education and for students pursuing independent learning)."
—IEEE Microwave Magazine, June 2018
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