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Solved Problems in Electromagnetics 1st ed. 2017 [Minkštas viršelis]

  • Formatas: Paperback / softback, 806 pages, aukštis x plotis: 235x155 mm, 138 Illustrations, color; 442 Illustrations, black and white; XVIII, 806 p. 580 illus., 138 illus. in color., 1 Paperback / softback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 27-Oct-2016
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3662483661
  • ISBN-13: 9783662483664
Kitos knygos pagal šią temą:
  • Formatas: Paperback / softback, 806 pages, aukštis x plotis: 235x155 mm, 138 Illustrations, color; 442 Illustrations, black and white; XVIII, 806 p. 580 illus., 138 illus. in color., 1 Paperback / softback
  • Serija: Undergraduate Lecture Notes in Physics
  • Išleidimo metai: 27-Oct-2016
  • Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3662483661
  • ISBN-13: 9783662483664
Kitos knygos pagal šią temą:

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.

1 A Mathematical Introduction
1(66)
1.1 Coordinate Systems and Transformations
1(3)
1.2 Differential Length, Area and Volume
4(1)
1.3 Scalar and Vector Fields
5(1)
1.4 Concept and Definition of Regions, Curves and Surfaces
6(3)
1.5 Line, Surface and Volume Integrals. Circulation and Flux
9(2)
1.6 Gradient
11(2)
1.7 Curl
13(1)
1.8 Divergence
14(1)
1.9 Stokes's Theorem and Divergence Theorem
15(1)
1.10 Normal Vector to a Surface
16(3)
1.10.1 Vectorial or Parametric
16(1)
1.10.2 Explicit
17(1)
1.10.3 Implicit
17(2)
1.11 Further Developments
19(2)
1.12 Classification of Vector Fields
21(2)
1.13 Obtaining the Scalar Potential
23(3)
1.13.1 First Method
23(1)
1.13.2 Second Method
24(1)
1.13.3 Third Method*
25(1)
1.14 Vectorial Field from the Vector Potential
26(41)
1.14.1 First Method
26(2)
1.14.2 Second Method
28(1)
Solved Problems
29(1)
Problems A
29(22)
Problems B
51(16)
2 Static Electric Field in Vacuum
67(54)
2.1 Electric Charge
67(1)
2.2 Coulomb's Law
68(2)
2.3 Electric Field
70(1)
2.4 Electrostatic Potential
71(2)
2.5 Flux of Electric Field. Gauss' Law
73(1)
2.6 Electrostatic Equations
74(1)
2.7 Electric Dipole
74(1)
2.8 Conductors and Insulators
75(1)
2.9 Biot--Savart-like Law in Electrostatics
76(45)
Solved Problems
77(1)
Problems A
77(4)
Problems B
81(25)
Problem C
106(15)
3 Static Electric Field in Dielectrics
121(44)
3.1 Polarization
121(2)
3.2 Polarization Charges
123(1)
3.3 The D Field
123(2)
3.4 The Constitutive Equation
125(2)
3.5 Boundary Conditions
127(1)
3.6 Coefficients of Potential and Capacitance
128(1)
3.7 Capacitors
129(36)
Solved Problems
132(1)
Problems A
132(7)
Problems B
139(17)
Problems C
156(9)
4 Electric Current
165(58)
4.1 Current Density. The Current
165(2)
4.2 The Equation of Continuity
167(1)
4.3 Direct Current
167(1)
4.4 Ohm's Law
168(1)
4.5 Ohm's Law in a Conducting Straight Wire. Resistance
169(2)
4.6 Power Supplied by Electric Field. Joule's Law
171(1)
4.7 Direct Current Generators
172(2)
4.8 Direct Current Motors
174(1)
4.9 Ohm's Law in Circuits
175(2)
4.10 Direct Current Networks
177(2)
4.10.1 Kirchhoff's Circuit Laws
177(2)
4.10.2 Mesh Analysis
179(1)
4.11 Passive Network Equivalence
179(5)
4.11.1 Resistances in Series, Parallel, Triangle and Star Associations
180(2)
4.11.2 Resistance in a Conductor with Any Shape
182(2)
4.12 Thevenin's and Norton's Theorems
184(39)
Solved Problems
185(1)
Problems A
185(9)
Problems B
194(12)
Problems C
206(17)
5 Magnetostatics
223(90)
5.1 Differential Equation of the Magnetostatic Field
223(2)
5.2 Integral Form of the Equations
225(2)
5.3 Vector Potential
227(2)
5.4 The Biot-Savart Law
229(1)
5.5 Forces on Currents
230(1)
5.6 Magnetic Dipole
231(1)
5.7 Off-Axis Magnetic Field for Axisymmetric Systems
231(82)
Solved Problems
234(1)
Problems A
234(32)
Problems B
266(25)
Problems C
291(22)
6 Static Magnetic Field in Presence of Matter
313(106)
6.1 Magnetization
313(1)
6.2 Magnetic Current Densities
314(1)
6.3 The Magnetic Field H
315(2)
6.4 The Ampere Law of the Magnetic Field H
317(1)
6.5 Basic Kinds of Magnetic Materials
318(1)
6.6 Description of the Magnetization Curve
319(4)
6.7 Magnetic Circuits and Electromagnets
323(3)
6.8 Operating Straight Line and Operating Point
326(2)
6.9 The Permanent Magnet
328(2)
6.10 The Demagnetizing Field
330(89)
Solved Problems
332(1)
Problems A
332(18)
Problems B
350(26)
Problems C
376(43)
7 Methods for Solving Electrostatic and Magnetostatic Problems
419(92)
7.1 The Laplace Equation
419(3)
7.2 The Method of Separation of Variables
422(3)
7.3 Green's Function Method
425(3)
7.4 Method of Images
428(3)
7.5 Application of Complex Analysis to Electromagnetism
431(10)
7.5.1 Transforming Boundary Conditions
432(1)
7.5.2 Conformal Mapping
433(1)
7.5.3 Some Conformal Transformations
434(2)
7.5.4 Complex Potential
436(5)
7.6 Numerical Techniques
441(70)
7.6.1 The Finite Difference Method
441(4)
7.6.2 Other Important Techniques
445(3)
Solved Problems
448(1)
Problems C
448(63)
8 Electromagnetic Induction
511(56)
8.1 Electromotive Force
511(1)
8.2 Faraday's law
512(3)
8.3 Motional Electromotive Force
515(3)
8.4 The General Law of Electromagnetic Induction
518(1)
8.5 Self-inductance and Mutual Inductance
519(4)
8.5.1 Self-inductance
519(1)
8.5.2 Mutual Inductance
520(3)
8.6 Voltage Between Two Points
523(44)
Solved Problems
524(1)
Problems A
524(9)
Problems B
533(17)
Problems C
550(17)
9 Energy of the Electromagnetic Field
567(32)
9.1 The Electrostatic Energy of Charges
567(1)
9.2 The Energy of a Capacitor
568(1)
9.3 The Electrostatic Energy of Distributed Charges
569(1)
9.4 Relationship Between Force and Electrostatic Energy
569(1)
9.5 Magnetostatic Energy of Quasi-stationary Currents
570(1)
9.6 Generalization
571(1)
9.7 Magnetic Energy in a Hysteresis Loop
572(27)
Solved Problems
573(1)
Problems A
573(5)
Problems B
578(6)
Problems C
584(15)
10 Maxwell's Equations
599(28)
10.1 Generalization of Ampere's Law
599(1)
10.2 Maxwell's Equations for a Point
600(1)
10.3 Maxwell's Equations for a Domain
600(1)
10.4 Scalar Potential
601(1)
10.5 Surface of Discontinuity
602(25)
Solved Problems
604(1)
Problems A
604(10)
Problems B
614(4)
Problems C
618(9)
11 Motion of Charged Particles in Electromagnetic Fields
627(40)
11.1 Lorentz Force
627(1)
11.2 Trajectory of a Charge in a Homogeneous Electric Field
628(1)
11.3 Trajectory of a Charge in a Homogeneous Magnetic Field
629(2)
11.4 Hall Effect
631(1)
11.5 Trajectory of a Charge in Simultaneous, Homogeneous and Constant, Magnetic and Electric Fields
632(1)
11.6 The Mass Spectrometer
633(1)
11.7 The Cyclotron
634(1)
11.8 The Betatron
635(1)
11.9 Relativistic Correction
636(1)
11.10 A Relativistic Particle in an Electromagnetic Field
637(1)
11.11 Charge in a Homogeneous Electric Field
637(3)
11.12 Charge in a Homogeneous Magnetic Field
640(27)
Solved Problems
641(1)
Problems A
641(11)
Problems B
652(7)
Problems C
659(8)
12 Electromagnetic Waves
667(48)
12.1 Electromagnetic Wave Propagation: Wave Equation
667(1)
12.2 Plane and Spherical Waves
668(2)
12.3 Harmonic Plane Waves in Unbounded Dielectrics
670(2)
12.4 Polarization
672(2)
12.5 Intensity and Poynting Vector
674(2)
12.6 Introduction to Fourier Analysis
676(39)
Solved Problems
677(1)
Problems A
677(8)
Problems B
685(14)
Problems C
699(16)
13 Reflection and Refraction
715(34)
13.1 Laws of Reflection and Refraction
715(1)
13.2 The Fresnel Coefficients
716(2)
13.3 Reflected and Transmitted Energy
718(31)
Solved Problems
719(1)
Problems A
719(11)
Problems B
730(10)
Problems C
740(9)
14 Wave Propagation in Anisotropic Media
749(38)
14.1 Concept of Anisotropy
749(2)
14.2 Susceptibility and Permittivity Tensors Definition
751(2)
14.3 Maxwell's Equations in an Anisotropic Linear Medium Free of Charges and Currents
753(2)
14.4 Electromagnetic Waves in Uniaxial Dielectrics
755(4)
14.5 Propagation of the Energy
759(2)
14.6 Geometrical Interpretation
761(1)
14.7 Electromagnetic Waves in Biaxial Crystals
762(2)
14.8 Crystal Classification
764(2)
14.9 Retarders
766(21)
Solved Problems
767(1)
Problems A
767(4)
Problems B
771(7)
Problems C
778(9)
Appendix A Matlab Programs 787(4)
Appendix B Electric and Magnetic Properties of Several Materials 791(4)
Bibliography 795(4)
Index 799
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 Miningand 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 Franēais 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 LÉcole 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).