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1 Background and Motivation 1

1-1 Introduction 1

1-2 A Little History 2

1-3 Engineering Applications of Electromagnetics 4

1-4 In This Text... 5

2 Vector Analysis 7

2-1 Introduction 7

2-2 Physical Quantities and Units 7

2-3 Vector Algebra 11

2-4 Orthogonal Coordinate Systems 16

2-5 The Calculus of Scalar and Vector Fields 33

2-6 Summation 55

Problems 55

3-1 Introduction 61

3 Electromagnetic Sources,Forces,and Fields 61

3-2 Charge and Charge Density 62

3-3 Current and Current Density 63

3-4 The Law of Charge Conservation 68

3-5 Two Action-At-A-Distance Force Laws 71

3-6 The Lorentz Force Law and the Field Concept of Electromagnetics 75

3-7 Maxwell's Equation 81

3-8 Summation 84

Problems 85

4 Electrostatic Fields in Free Space 87

4-1 Introduction 87

4-2 Maxwell's Equations for Electrostatics in Free Space 88

4-3 Coulomb's Law 90

4-4 E-Field Calculations Using Coulomb's Law 93

4-5 Field Computation Using Gauss's Law 98

4-6 Voltage and Electric Potential 107

4-7 Poisson's and Laplace's Equation 116

4-8 Summation 118

Problems 118

5 Electrostatic Fields In Material Media 122

5-1 Introduction 122

5-2 Conductors 123

5-3 Dielectrics 132

5-4 Electrostatic Boundary Value Problems 149

5-5 Summation 174

Problems 174

6 Capacitance and Electric Energy 179

6-1 Introduction 179

6-2 Capacitance 180

6-3 The Energy Contained in an Electrostatic Charge Distribution 195

6-4 Energy Storage in Capacitors 200

6-5 Summation 201

Problems 202

7 Magnetostatic Fields in Free Space 205

7-1 Introduction 205

7-2 Maxwell's Equations for Magnetostatics in Free Space 206

7-3 The Biot-Savart Law and the Magnetic Vector Potential 208

7-4 Field Calculations Using Ampère's Law 218

7-5 Magnetic Potentials 227

7-6 Summation 236

Problems 236

8 Magnetostatic Fields In Material Media 241

8-1 Introduction 241

8-2 The Hall Effect 242

8-3 Magnetic Materials 244

8-4 Magnetostatic Boundary Value Problems 260

8-5 Permanent Magnets and Magnetic Recording 265

8-6 Magnetic Circuits 268

8-7 Summation 272

Problems 273

9 Magnetic Inductance,Energy,and Forces 277

9-1 Introduction 277

9-2 Faraday's Law of Induction 278

9-3 Inductance 290

9-4 Magnetic Forces and Torques 310

9-5 Summation 318

Problems 319

10 Time-Varying Electromagnetic Fields 325

10-1 Introduction 325

10-2 Displacement Current 326

10-3 Maxwell's Equations for Time-Varying Fields 330

10-4 Time-Harmonic Fields 334

10-5 Boundary Conditions for Time-Varying fields 341

10-6 AC Circuit Analysis 344

10-7 Summation 346

Problems 346

11 Transmission Lines 349

11-1 Introduction 349

11-2 TEM Modes on Transmission Lines 350

11-3 Transient Voltages and Currents On Transmission Lines 355

11-4 Time-Harmonic Waves on Transmission Lines 382

11-5 Summation 434

Problems 434

12 Plane Waves 441

12-1 Introduction 441

12-2 Wave Equations in Simple,Source-Free Media 442

12-3 Plane Waves in Lossless Media 443

12-4 Plane Waves in Lossy Media 453

12-5 Medium Characterization 456

12-6 Power Transmission 462

12-7 Plane Wave Reflection and Transmission at Planar Boundaries:Normal Incidence 470

12-8 Plane Wave Reflection and Transmission at Planar Boundaries:Oblique Incidence 490

12-9 Summation 503

Problems 503

13 Waveguiddes 508

13-1 Introduction 508

13-2 Waveguide Modes 509

13-3 Metal Waveguides 513

13-4 Dielectric Waveguides 546

13-5 Cavity Resonators 558

13-6 Summation 563

Problems 563

14-1 Introduction 567

14 Radiation and Antennas 567

14-2 Electromagnetic Potentials 568

14-3 The Infinitesimal Dipole 573

14-4 Transmitting Antenna Parameters 582

14-5 Simple Antennas 589

14-6 Antenna Arrays 606

14-7 Properties of Receiving Antennas 616

14-8 Summation 628

Problems 628

Appendix A:Units and Symbols 634

Appendix B:Coordinate System Relationships and Vector Identities 637

Appendix C:Fundamental Constants and Material Parameters 640

Appendix D:Transmission Line Parameters 644

Appendix E:Answers to Selected Problems 651

Selected Bibliography 657

Index 661