Engineering Electromagnetics
,Engineering
Electromagnetics
SIXTH EDITION
William H. Hayt, Jr.
Late Emeritus Professor
Purdue University
John A. Buck
Georgia Institute of Technology
Boston
Burr Ridge, IL Dubuque, IA Madison, WI
New York San Francisco St. Louis
Bangkok Bogotá Caracas Lisbon London Madrid Mexico City
Milan New Delhi Seoul Singapore Sydney Taipei Toronto
,BRIEF CONTENTS
Preface xi
Chapter 1 Vector Analysis 1
Chapter 2 Coulomb's Law and Electric Field Intensity 27
Chapter 3 Electric Flux Density, Gauss' Law, and Divergence 53
Chapter 4 Energy and Potential 83
Chapter 5 Conductors, Dielectrics, and Capacitance 119
Chapter 6 Experimental Mapping Methods 169
Chapter 7 Poisson's and Laplace's Equations 195
Chapter 8 The Steady Magnetic Field 224
Chapter 9 Magnetic Forces, Materials, and Inductance 274
Chapter 10 Time-Varying Fields and Maxwell's Equations 322
Chapter 11 The Uniform Plane Wave 348
Chapter 12 Plane Waves at Boundaries and in Dispersive Media 387
Chapter 13 Transmission Lines 435
Chapter 14 Waveguide and Antenna Fundamentals 484
Appendix A Vector Analysis 529
Appendix B Units 534
Appendix C Material Constants 540
Appendix D Origins of the Complex Permittivity 544
Appendix E Answers to Selected Problems
Index 551
To find Appendix E, please visit the expanded book website:
www.mhhe.com/engcs/electrical/haytbuck
v
, CONTENTS
Preface xi
Chapter 1 Vector Analysis 1
1.1. Scalars and Vectors 2
1.2. Vector Algebra 3
1.3. The Cartesian Coordinate System 4
1.4. Vector Components and Unit Vectors 6
1.5. The Vector Field 9
1.6. The Dot Product 10
1.7. The Cross Product 13
1.8. Other Coordinate Systems: Circular Cylindrical
Coordinates 15
1.9. The Spherical Coordinate System 20
Chapter 2 Coulomb's Law and Electric Field Intensity 27
2.1. The Experimental Law of Coulomb 28
2.2. Electric Field Intensity 31
2.3. Field Due to a Continuous Volume Charge Distribution 36
2.4. Field of a Line Charge 38
2.5. Field of a Sheet Charge 44
2.6. Streamlines and Sketches of Fields 46
Chapter 3 Electric Flux Density, Gauss' Law, and Divergence 53
3.1. Electric Flux Density 54
3.2. Gauss' Law 57
3.3. Applications of Gauss' Law: Some Symmetrical Charge
Distributions 62
3.4. Application of Gauss' Law: Differential Volume Element 67
3.5. Divergence 70
3.6. Maxwell's First Equation (Electrostatics) 73
3.7. The Vector Operator r and the Divergence Theorem 74
Chapter 4 Energy and Potential 83
4.1. Energy and Potential in a Moving Point Charge in an
Electric Field 84
4.2. The Line Integral 85
4.3. De®nition of Potential Difference and Potential 91
4.4. The Potential Field of a Point Charge 93
vii
,Engineering
Electromagnetics
SIXTH EDITION
William H. Hayt, Jr.
Late Emeritus Professor
Purdue University
John A. Buck
Georgia Institute of Technology
Boston
Burr Ridge, IL Dubuque, IA Madison, WI
New York San Francisco St. Louis
Bangkok Bogotá Caracas Lisbon London Madrid Mexico City
Milan New Delhi Seoul Singapore Sydney Taipei Toronto
,BRIEF CONTENTS
Preface xi
Chapter 1 Vector Analysis 1
Chapter 2 Coulomb's Law and Electric Field Intensity 27
Chapter 3 Electric Flux Density, Gauss' Law, and Divergence 53
Chapter 4 Energy and Potential 83
Chapter 5 Conductors, Dielectrics, and Capacitance 119
Chapter 6 Experimental Mapping Methods 169
Chapter 7 Poisson's and Laplace's Equations 195
Chapter 8 The Steady Magnetic Field 224
Chapter 9 Magnetic Forces, Materials, and Inductance 274
Chapter 10 Time-Varying Fields and Maxwell's Equations 322
Chapter 11 The Uniform Plane Wave 348
Chapter 12 Plane Waves at Boundaries and in Dispersive Media 387
Chapter 13 Transmission Lines 435
Chapter 14 Waveguide and Antenna Fundamentals 484
Appendix A Vector Analysis 529
Appendix B Units 534
Appendix C Material Constants 540
Appendix D Origins of the Complex Permittivity 544
Appendix E Answers to Selected Problems
Index 551
To find Appendix E, please visit the expanded book website:
www.mhhe.com/engcs/electrical/haytbuck
v
, CONTENTS
Preface xi
Chapter 1 Vector Analysis 1
1.1. Scalars and Vectors 2
1.2. Vector Algebra 3
1.3. The Cartesian Coordinate System 4
1.4. Vector Components and Unit Vectors 6
1.5. The Vector Field 9
1.6. The Dot Product 10
1.7. The Cross Product 13
1.8. Other Coordinate Systems: Circular Cylindrical
Coordinates 15
1.9. The Spherical Coordinate System 20
Chapter 2 Coulomb's Law and Electric Field Intensity 27
2.1. The Experimental Law of Coulomb 28
2.2. Electric Field Intensity 31
2.3. Field Due to a Continuous Volume Charge Distribution 36
2.4. Field of a Line Charge 38
2.5. Field of a Sheet Charge 44
2.6. Streamlines and Sketches of Fields 46
Chapter 3 Electric Flux Density, Gauss' Law, and Divergence 53
3.1. Electric Flux Density 54
3.2. Gauss' Law 57
3.3. Applications of Gauss' Law: Some Symmetrical Charge
Distributions 62
3.4. Application of Gauss' Law: Differential Volume Element 67
3.5. Divergence 70
3.6. Maxwell's First Equation (Electrostatics) 73
3.7. The Vector Operator r and the Divergence Theorem 74
Chapter 4 Energy and Potential 83
4.1. Energy and Potential in a Moving Point Charge in an
Electric Field 84
4.2. The Line Integral 85
4.3. De®nition of Potential Difference and Potential 91
4.4. The Potential Field of a Point Charge 93
vii
