Electromagnetics for Engineers. Volume 1: Electrostatics and Magnetostatics

Electromagnetism for Engineers, VOL. I: Electrostatics is a comprehensive introduction to the fundamental principles of electromagnetism, making it an indispensable source for a wide range of readers. This volume covers the essential concepts of electrostatics, including Coulomb's law, electric fields, Gauss's law, and vector mathematics, which forms a foundational tool throughout the book. What sets this book apart are the numerous illustrations and diagrams that visually elucidate complex topics, ensuring a clear and thorough understanding. To reinforce learning, the text includes problem and solution sets, giving readers an opportunity to apply the concepts they have acquired. This book is particularly valuable for college graduates and engineering students who are beginning their journey into the realm of electromagnetism. It is also an excellent reference for practicing engineers seeking to refresh their knowledge of the basic principles of electromagnetism. With a focus on both theory and practical application, this volume provides a strong foundation for readers at various stages of their engineering education and career. ELECTROMAGNETICS FOR ENGINEERS VOLUME 1: Electrostatics and Magnetostatics CONTENTS PART 1ELECTROSTATICS:BASIC PRINCIPLES 1 Vector Analysis 1.1 INTRODUCTION 1.2 VECTOR NOTATION 1.3 VECTOR ALGEBRA 1.4 COORDINATE SYSTEMS 1.5 DIFFERENTIAL VOLUME, SURFACE, AND LINE ELEMENTS 1.6 VECTOR FIELDS 1.7 TRANSFORMATIONS BETWEEN COORDINATE SYSTEMS 1.8 PROBLEMS AND SOLUTIONS: VECTOR ANALYSIS References 2 COULOMB FORCES AND ELECTRICFIELD INTENSITY 2.1 COULOMB’S LAW 2.2 ELECTRIC FIELD INTENSITY 2.3 CHARGE DISTRIBUTIONS 2.4 STANDARD CHARGE CONFIGURATIONS 2.5 PROBLEMS: COULOMB FORCE AND E-FIELD INTENSITY References 3ELECTRIC FLUX AND GAUSS’ LAW 3.1 NET CHARGE IN A REGION 3.2 ELECTRIC FLUX AND FLUX DENSITY 3.3 GAUSS’ LAW 3.4 RELATION BETWEEN FLUX DENSITY AND ELECTRIC FIELDINTENSITY 3.5 SPECIAL GAUSSIAN SURFACES 3.6 PROBLEMS AND SOLUTIONS: ELECTRIC FLUX AND GAUSS’ LAW References 4 DIVERGENCE AND THE DIVERGENCE THEOREM 4.1 DIVERGENCE 4.2 DIVERGENCE IN CARTESIAN COORDINATES 4.3 DIVERGENCE OF D 4.4 THE DEL OPERATOR 4.5 DIVERGENCE THEOREM 4.6 PROBLEMS AND SOLUTIONS: DIVERGENCE AND THEDIVERGENCE THEOREM References 5 ENERGY AND ELECTRIC POTENTIAL OF CHARGE SYSTEMS 5.1 WORK DONE IN MOVING A POINT CHARGE 5.2 ELECTRIC POTENTIAL BETWEEN TWO POINTS 5.3 POTENTIAL OF A POINT CHARGE 5.4 POTENTIAL OF A CHARGE DISTRIBUTION 5.5 GRADIENT 5.6 RELATIONSHIP BETWEEN E AND ∇ 5.7 ENERGY IN STATIC ELECTRIC FIELDS 5.8 PROBLEMS AND SOLUTIONS : ENERGY AND ELECTRICPOTENTIAL OF CHARGE SYSTEMS References 6CURRENT, CURRENT DENSITY,AND CONDUCTORS 6.1 INTRODUCTION 6.2 CHARGES IN MOTION 6.3 CONVECTION CURRENT DENSITY, J 6.4 CONDUCTION CURRENT DENSITY, J 6.5 CONDUCTIVITY, Σ 6.6 CURRENT, I 6.7 RESISTANCE, R 6.8 CURRENT SHEET DENSITY, K 6.9 CONTINUITY OF CURRENT 6.10 CONDUCTOR: DIELECTRIC BOUNDARY CONDITIONS 6.11 PROBLEMS AND SOLUTIONS: CURRENT, CURRENT DENSITY,AND CONDUCTORS References 7CAPACITANCE AND DIELECTRIC MATERIALS 7.1 POLARIZATION P AND RELATIVE PERMITT 7.2 FIXED VOLTAGE D AND E 7.3 FIXED CHARGE D AND E 7.4 BOUNDARY CONDITIONS AT THE INTERFACE OF TWODIELECTRICS 7.5 CAPACITANCE 7.6 MULTIPLE-DIELECTRIC CAPACITORS 7.7 ENERGY STORED IN A CAPACITOR 7.8 PROBLEMS AND SOLUTIONS: CAPACITANCE AND DIELECTRICMATERIALS References 8LAPLACE’S EQUATION 8.1 INTRODUCTION 8.2 POISSON’S EQUATION AND LAPLACE’S EQUATION 8.3 EXPLICIT FORMS OF LAPLACE’S EQUATION 8.4 UNIQUENESS THEOREM 8.5 MEAN VALUE AND MAXIMUM VALUE THEOREMS 8.6 CARTESIAN SOLUTION IN ONE VARIABLE 8.7 CARTESIAN PRODUCT SOLUTION 8.8 CYLINDRICAL PRODUCT SOLUTION 8.9 SPHERICAL PRODUCT SOLUTION 8.10 PROBLEMS AND SOLUTIONS: LAPLACE’S EQUATION References PART 2MAGNETOSTATICS:BASIC PRINCIPLES 9AMPERE’S LAW AND THE MAGNETIC FIELD 9.1 MAGNETOSTATICS 9.2 BIOT-SAVART LAW 9.3 AMPERE’S LAW 9.4 CURL 9.5 CURRENT DENSITY J AND ∇ × H 9.6 MAGNETIC FLUX DENSITY B 9.7 VECTOR MAGNETIC POTENTIAL A 9.8 STOKES’ THEOREM 9.9 PROBLEMS AND SOLUTIONS References 10FORCES AND TORQUES IN MAGNETIC FIELDS 10.1 MAGNETIC FORCE ON PARTICLES 10.2 ELECTRIC AND MAGNETIC FIELDS COMBINED 10.3 MAGNETIC FORCE ON A CURRENT ELEMENT 10.4 WORK AND POWER 10.5 TORQUE 10.6 MAGNETIC MOMENT OF A PLANAR COIL 10.7 PROBLEMS AND SOLUTIONS References 11 INDUCTANCE AND MAGNETIC CIRCUITS 11.1 VOLTAGE OF SELF-INDUCTION 11.2 INDUCTORS AND INDUCTANCE 11.3 STANDARD FORMS 11.4 INTERNAL INDUCTANCE 11.5 MAGNETIC CIRCUITS 11.6 NONLINEARITY OF THE B-H CURVE 11.7 AMPERE’S LAW FOR MAGNETIC CIRCUITS 11.8 CORES WITH AIR GAPS 11.9 MULTIPLE COILS 11.10 PARALLEL MAGNETIC CIRCUITS 11.11 PROBLEMS AND SOLUTIONS References 12DISPLACEMENT CURRENT AND INDUCED EMF 12.1 DISPLACEMENT CURRENT 12.2 RATIO OF JC TO JD 12.3 FARADAY’S LAW 12.4 CONDUCTORS IN MOTION THROUGH TIME-INDEPENDENTFIELDS 12.6 PROBLEMS AND SOLUTIONS References Appendix A SCIENTIFIC PREFIXES Appendix B SCIENTIFIC CONSTANTS Appendix CRULES BY WHICH TO PERFORMVECTOR ANALYSIS C.1 PARALLELOGRAM RULE C.2 HEAD-TO-TAIL RULE Appendix DELECTROMAGNETIC SPECTRUM ANDFREQUENCY BAND DESIGNATIONS Appedix ETRANSMISSION LINE EQUATIONS , GENERALLINE EXPRESSIONS, AND IDEAL LINEEXPRESSIONS Appedix FMAXWELL’S EQUATIONS F.1 FREE SPACE SET F.2 GENERAL SET ACRONYMS AND ABBREVIATIONS SELECTED BIBLIOGRAPHY ABOUT THE AUTHOR INDEX