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CHAPTER1 Vector Analysis1

1.1 Scalars and Vectors1

1.2 Vector Algebra2

1.3 The Rectangular Coordinate System4

1.4 Vector Components and Unit Vectors5

1.5 The Vector Field8

1.6 The Dot Product9

1.7 The Cross Product12

1.8 Other Coordinate Systems：Circular Cylindrical Coordinates14

1.9 The Spherical Coordinate System19

References22

CHAPTER1 Problems23

CHAPTER2 Coulomb’s Law and Electric Field Intensity26

2.1 The Experimental Law of Coulomb27

2.2 Electric Field Intensity30

2.3 Field Due to a Continuous Volume Charge Distribution34

2.4 Field of a Line Charge37

2.5 Field of a Sheet of Charge43

2.6 Streamlines and Sketches of Fields45

References48

CHAPTER2 Problems48

CHAPTER3 Electric Flux Density，Gauss’s Law，and Divergence51

3.1 Electric Flux Density51

3.2 Gauss’s Law55

3.3 Application of Gauss’s Law：Some Symmetrical Charge Distributions59

3.4 Application of Gauss’s Law：Differential Volume Element64

3.5 Divergence67

3.6 Maxwell’s First Equation（Electrostatics）70

3.7 The Vector Operator ？ and the Divergence Theorem72

References75

CHAPTER3 Problems76

CHAPTER4 Energy and Potential80

4.1 Energy Expended in Moving a Point Charge in an Electric Field81

4.2 The Line Integral82

4.3 Definition of Potential Difference and Potential87

4.4 The Potential Field of a Point Charge89

4.5 The Potential Field of a System of Charges：Conservative Property91

4.6 Potential Gradient95

4.7 The Dipole101

4.8 Energy Density in the Electrostatic Field106

References110

CHAPTER4 Problems110

CHAPTER5 Current and Conductors114

5.1 Current and Current Density114

5.2 Continuity of Current116

5.3 Metallic Conductors118

5.4 Conductor Properties and Boundary Conditions123

5.5 The Method of Images128

5.6 Semiconductors130

References132

CHAPTER5 Problems132

CHAPTER6 Dielectrics and Capacitance136

6.1 The Nature of Dielectric Materials137

6.2 Boundary Conditions for Perfect Dielectric Materials143

6.3 Capacitance149

6.4 Several Capacitance Examples152

6.5 Capacitance of a Two-Wire Line155

6.6 Using Field Sketches to Estimate Capacitance in Two-Dimensional Problems160

6.7 Current Analogies165

References167

CHAPTER6 Problems167

CHAPTER7 Poisson’s and Laplace’s Equations172

7.1 Derivation of Poisson’s and Laplace’s Equations173

7.2 Uniqueness Theorem175

7.3 Examples of the Solution of Laplace’s Equation177

7.4 Example of the Solution of Poisson’s Equation184

7.5 Product Solution of Laplace’s Equation188

7.6 Solving Laplace’s Equation Through Numerical Iteration196

References202

CHAPTER7 Problems203

CHAPTER8 The Steady Magnetic Field210

8.1 Biot-Savart Law210

8.2 Ampère’s Circuital Law218

8.3 Curl225

8.4 Stokes’Theorem232

8.5 Magnetic Flux and Magnetic Flux Density237

8.6 The Scalar and Vector Magnetic Potentials240

8.7 Derivation of the Steady-Magnetic-Field Laws247

References253

CHAPTER8 Problems253

CHAPTER9 Magnetic Forces，Materials，and Inductance259

9.1 Force on a Moving Charge260

9.2 Force on a Differential Current Element261

9.3 Force Between Differential Current Elements265

9.4 Force and Torque on a Closed Circuit267

9.5 The Nature of Magnetic Materials273

9.6 Magnetization and Permeability276

9.7 Magnetic Boundary Conditions281

9.8 The Magnetic Circuit284

9.9 Potential Energy and Forces on Magnetic Materials290

9.10 Inductance and Mutual Inductance292

References299

CHAPTER9 Problems299

CHAPTER10 Time-Varying Fields and Maxwell’s Equations306

10.1 Faraday’s Law306

10.2 Displacement Current313

10.3 Maxwell’s Equations in Point Form317

10.4 Maxwell’s Equations in Integral Form319

10.5 The Retarded Potentials321

References325

CHAPTER10 Problems325

CHAPTER12 The Uniform Plane Wave332

12.1 Wave Propagation in Free Space332

12.2 Wave Propagation in Dielectrics340

12.3 Poynting’s Theorem and Wave Power349

12.4 Propagation in Good Conductors：Skin Effect352

12.5 Wave Polarization359

References366

CHAPTER12 Problems366

CHAPTER13 Plane Wave Reflection and Dispersion370

13.1 Reflection of Uniform Plane Waves at Normal Incidence370

13.2 Standing Wave Ratio377

13.3 Wave Reflection from Multiple Interfaces381

13.4 Plane Wave Propagation in General Directions389

13.5 Plane Wave Reflection at Oblique Incidence Angles392

13.6 Total Reflection and Total Transmission of Obliquely Incident Waves398

13.7 Wave Propagation in Dispersive Media401

13.8 Pulse Broadening in Dispersive Media407

References411

CHAPTER13 Problems412

CHAPTER14 Guided Waves and Radiation416

14.1 Transmission Line Fields and Primary Constants417

14.2 Basic Waveguide Operation426

14.3 Plane Wave Analysis of the Parallel-Plate Waveguide430

14.4 Parallel-Plate Guide Analysis Using the Wave Equation439

14.5 Rectangular Waveguides442

14.6 Planar Dielectric Waveguides447

14.7 Optical Fiber453

14.8 Basic Antenna Principles463

References473

CHAPTER14 Problems473

Appendix A Vector Analysis478

A.1 General Curvilinear Coordinates478

A.2 Divergence，Gradient，and Curl in General Curvilinear Coordinates479

A.3 Vector Identities481

Appendix B Units482

Appendix C Material Constants487

Appendix D Origins of the Complex Permittivity490

Appendix E Answers to Odd-Numbered Problems497