内容简介
This book is intended as a basic text for a two-semester sequence for undergraduate students desiring a fundamental comprehension of electromagnetic fields. The text can also be used for a one-semester course as long as the topics omitted do not resu1t in any loss of continuity or of student磗 preparation for ensuing chapters and courses. This text may also serve as a reference for students preparing for an advanced course in electromagnetic fields.
目录
1 ELECTROMAGNETIC FIELD THEORY 1 1.1 Introduction 1 1.2 Field Concept 2 1.3 Vector Analysis 3 1.4 Differential and Integral Formulations 4 1.5 Static Fields 5 1.6 Time-Varying Fields 6 1.7 Applications of Time-Varying Fields 7 1.8 Numerical Solutions 9 1.9 Further Study 9 2 VECTOR ANALYSIS 11 2.1 Introduction 11 2.2 Scalar and Vector Quantities 11 2.3 Vector Operations 12 2.3.1 Vector Addition 12 2.3.2 Vector Subtraction 13 2.3.3 Multiplication of a Vector by a Scalar 13 2.3.4 Product of Two Vectors 13 2.4 The Coordinate Systems 16 2.4.1 Rectangular Coordinate System 17 2.4.2 Cylindrical Coordinate System 19 2.4.3 Spherical Coordinate System 23 2.5 Scalar and Vector Fields 27 2.6 Differential Elements of Length, Surface, and Volume 29 2.6.1 Rectangular Coordinate System 29 2.6.2 Cylindrical Coordinate System 30 2.6.3 Spherical Coordinate System 30 2.7 Line, Surface, and Volume Integrals 31 2.7.1 The Line Integral 31 2.7.2 The Surface Integral 33 2.7.3 The Volume Integral 35 2.8 The Gradient of a Scalar Function 36 2.9 Divergence of a Vector Field 39 2.9.1 The Divergence Theorem 40 2.10 The Curl of a Vector Field 43 2.10.1 Stokes'' Theorem 47 2.11 The Laplacian Operator 49 2.12 Some Theorems and Field Classifications 50 2.12.1 Green''s Theorem 50 2.12.2 The Uniqueness Theorem 51 2.12.3 Classification of Fields 52 2.13 Vector Identities 54 2.14 Summary 55 2.15 Review Questions 56 2.16 Problems 58 3 ELECTROSTATICS 6 1 3.1 Introduction 61 3.2 Coulomb''s Law 61 3.3 Electric Field Intensity 64 3.3.1 Electric Field Intensity Due to Charge Distributions 67 3.4 Electric Flux and Electric Flux Density 71 3.4.1 Definition of Electric Flux 72 3.4.2 Gauss''s Law 72 3.5 The EIectric Potential 75 3.6 Electric Dipole 79 3.7 Materials in an Electric Field 81 3.7.1 Conductors in an Electric Field 81 3.7.2 Dielectrics in an Electric Field 84 3.7.3 Semiconductors in an Electric Field 88 3.8 Energy Stored in an EIectric Field 89 3.9 Boundary Conditions 93 3.9.1 The Normal Component of D 93 3.9.2 The Tangential Component of E 94 3.10 Capacitor and Capacitance 96 3.11 Poisson''s and Laplace''s Equations 100 3.12 Method of Images 104 3.13 Summary 108 3.14 Review Questions 110 3.15 Problems 112 4 STEADY ELECTRIC CURRENTS 12O 4.1 Introduction 120 4.2 Nature of Current and Current Density 121 4.2.1 Conduction Current 121 4.2.2 Convection Current 122 4.2.3 Convection Current Density 122 4.2.4 Conduction Current Density 123 4.3 Resistance of a Conductor 126 4.4 The Equation Of Continuity 127 4.S Relaxation Time 132 4.6 Joule''s Law 134 4.7 Steady Current in a Diode 136 4.8 Boundary Conditions for Current Density 139 4.9 Analogy Between D and J 141 4.10 The Electromotive Force 144 4.11 Summary 147 4.12 Review Questions 149 4.13 Problems 150 5 MAGNETO5TATICS 155 5.1 Introduction 155 5.2 The Biot-Savart Law 156 5.3 Ampere''s Force Law 161
