Elements of Electromagnetics

Using a vectors-first approach, Elements of Electromagnetics, Sixth Edition, explains electrostatics, magnetostatics, fields, waves, and applications like transmission lines, waveguides, and antennas. The book also provides a balanced presentation of time-varying and static fields, preparing students for employment in today's industrial and manufacturing sectors.

Streamlined to facilitate student understanding, Elements of Electromagnetics, Sixth Edition, features worked examples in every chapter that explain how to use the theory presented in the text to solve different kinds of problems. It also covers numerical methods, including MATLAB and vector analysis, to help students analyze situations that they are likely to encounter in industry practice.

The fully revised and updated sixth edition now features:
*Fifteen new "Application Notes" that explain the connections between concepts discussed in the text and the real world
*A math assessment that enables instructors to gauge their students' mathematical knowledge and preparedness for the course
*Coverage of wave polarization (Chapter 10)
*New and updated end-of-chapter problems

A companion website for the book is available at http://www.oup.com/us/sadiku and features PowerPoints of every image in the text.

Matthew Sadiku is Professor of Electrical Engineering at Prairie View A&M University in Prairie View, Texas. He received his Ph.D. in Electrical Engineering from Tennessee Teh University and M.Sc. from Florida Atlantic University. Professor Sadiku is an active consultant for IBM. His teaching at Prarie View is varied, but it includes freshman-level courses in circuit design as well as higher-level courses in numerical methods and electromagnetics.

1. Vector Algebra
2. Coordinate Systems and Transformations
3. Vector Calculus
4. Electrostatic Fields
5. Electric Fields in Material Space
6. Electrostatic Boundary-Value Problems
7. Magnetostatic Fields
8. Magnetic Forces, Materials, and Devices
9. Maxwell's Equations
10. Electromagnetic Wave Propagation
11. Transmission Lines
12. Waveguides
13. Antennas
14. Numerical Methods
Appendix A. Mathematical Formulas
Appendix B. Material Constants
Appendix C. MATLAB
Appendix D. The Complete Smith Chart
Appendix E. Answers to Odd-Numbered Problems
BRIEF TABLE OF CONTENTS
PREFACE
A NOTE TO THE STUDENT
MATH ASSESSMENT
PART 1: VECTOR ANALYSIS
1 VECTOR ALGEBRA
--1.1 Introduction
--1.2 A Preview of the Book
--1.3 Scalars and Vectors
--1.4 Unit Vector
--1.5 Vector Addition and Subtraction
--1.6 Position and Distance Vectors
--1.7 Vector Multiplication
--1.8 Components of a Vector
---Summary
---Review Questions
---Problems
2 COORDINATE SYSTEMS AND TRANSFORMATION
--2.1 Introductio
--2.2 Cartesian Coordinates (x, y, z)
--2.3 Circular Cylindrical Coordinates (r, f, z)
--2.4 Spherical Coordinates (r, u, f)
--2.5 Constant-Coordinate Surfaces
---Summary
---Review Questions
---Problems
3 VECTOR CALCULUS
--3.1 Introduction
--3.2 Differential Length, Area, and Volume
--3.3 Line, Surface, and Volume Integrals
--3.4 Del Operator
--3.5 Gradient of a Scalar
--3.6 Divergence of a Vector and Divergence Theorem
--3.7 Curl of a Vector and Stokes's Theorem
--3.8 Laplacian of a Scalar
--3.9 Classification of Vector Fields
---Summary
---Review Questions
---Problems
PART 2: ELECTROSTATICS
4 ELECTROSTATIC FIELDS
--4.1 Introduction
--4.2 Coulomb's Law and Field Intensity
--4.3 Electric Fields Due to Continuous Charge Distributions
--4.4 Electric Flux Density
--4.5 Gauss's Law-Maxwell's Equation
--4.6 Applications of Gauss's Law
--4.7 Electric Potential
--4.8 Relationship between E and V-Maxwell's Equation
--4.9 An Electric Dipole and Flux Lines
--4.10 Energy Density in Electrostatic Fields
--4.11 Application Note-Electrostatic Discharge
---Summary
---Review Questions
---Problems
5 ELECTRIC FIELDS IN MATERIAL SPACE
--5.1 Introduction
--5.2 Properties of Materials
--5.3 Convection and Conduction Currents
--5.4 Conductors
--5.5 Polarization in Dielectrics
--5.6 Dielectric Constant and Strength
--5.7 Linear, Isotropic, and Homogeneous Dielectrics
--5.8 Continuity Equation and Relaxation Time
--5.9 Boundary Conditions
--5.10 Application Note-High Dielectric Constant Materials
--5.11 Application Note-Graphene
---Summary
---Review Questions
---Problems
6 ELECTROSTATIC BOUNDARY-VALUE PROBLEMS
--6.1 Introduction
--6.2 Poisson's and Laplace's Equations
--6.3 Uniqueness Theorem
--6.4 General Procedures for Solving Poisson's or Laplace's Equation
--6.5 Resistance and Capacitance
--6.6 Method of Images
--6.7 Application Note-Capacitance of Microstrip Lines
--6.8 Application Note-RF MEMS
---Summary
---Review Questions
---Problems
PART 3: MAGNETOSTATICS
7 MAGNETOSTATIC FIELDS
--7.1 Introduction
--7.2 Biot-Savart's Law
--7.3 Ampère's Circuit Law-Maxwell's Equation
--7.4 Applications of Ampère's Law
--7.5 Magnetic Flux Density-Maxwell's Equation
--7.6 Maxwell's Equations for Static Fields
--7.7 Magnetic Scalar and Vector Potentials
--7.8 Derivation of Biot-Savart's Law and Ampère's Law
--7.9 Application Note-Lightning
--7.10 Application Note-Polywell
---Summary
---Review Questions
---Problems
8 MAGNETIC FORCES, MATERIALS, AND DEVICES
--8.1 Introduction
--8.2 Forces Due to Magnetic Fields
--8.3 Magnetic Torque and Moment
--8.4 A Magnetic Dipole
--8.5 Magnetization in Materials
--8.6 Classification of Materials
--8.7 Magnetic Boundary Conditions
--8.8 Inductors and Inductances
--8.9 Magnetic Energy
--8.10 Magnetic Circuits
--8.11 Force on Magnetic Materials
--8.12 Application Note-Magnetic Levitation
--8.13 Application Note-Hall Effect
---Summary
---Review Questions
---Problems
PART 4: WAVES AND APPLICATIONS
9 MAXWELL'S EQUATIONS
--9.1 Introduction
--9.2 Faraday's Law
--9.3 Transformer and Motional Electromotive Forces
--9.4 Displacement Current
--9.5 Maxwell's Equations in Final Forms
--9.6 Time-Varying Potentials
--9.7 Time-Harmonic Fields
--9.8 Application Note-Memristor
--9.9 Application Note-Optical Nanocircuits
---Summary
---Review Questions
---Problems
10 ELECTROMAGNETIC WAVE PROPAGATION
--10.1 Introduction
--10.2 Waves in General
--10.3 Wave Propagation in Lossy Dielectrics
--10.4 Plane Waves in Lossless Dielectrics
--10.5 Plane Waves in Free Space
--10.6 Plane Waves in Good Conductors
--10.7 Wave Polarization
--10.8 Power and the Poynting Vector
--10.9 Reflection of a Plane Wave at Normal Incidence
--10.10 Reflection of a Plane Wave at Oblique Incidence
--10.11 Application Note-Microwaves
--10.12 Application Note-60 GHz Technology
---Summary
---Review Questions
---Problems
11 TRANSMISSION LINES
--11.1 Introduction
--11.2 Transmission Line Parameters
--11.3 Transmission Line Equations
--11.4 Input Impedance, Standing Wave Ratio, and Power
--11.5 The Smith Chart
--11.6 Some Applications of Transmission Lines
--11.7 Transients on Transmission Lines 574
--11.8 Application Notes-Microstrip Lines and Characterization of Data Cables
--11.9 Application Note-Metamaterials
--11.10 Application Note-Microwave Imaging
---Summary
---Review Questions
---Problems
12 WAVEGUIDES
--12.1 Introduction
--12.2 Rectangular Waveguides
--12.3 Transverse Magnetic (TM) Modes
--12.4 Transverse Electric (TE) Modes
--12.5 Wave Propagation in the Guide
--12.6 Power Transmission and Attenuation
--12.7 Waveguide Current and Mode Excitation
--12.8 Waveguide Resonators
--12.9 Application Note-Optical Fiber
--12.10 Application Note-Cloaking and Invisibility
---Summary
---Review Questions
---Problems
13 ANTENNAS
--13.1 Introduction
--13.2 Hertzian Dipole
--13.3 Half-Wave Dipole Antenna
--13.4 Quarter-Wave Monopole Antenna
--13.5 Small-Loop Antenna
--13.6 Antenna Characteristics
--13.7 Antenna Arrays
--13.8 Effective Area and the Friis Equation
--13.9 The Radar Equation
--13.10 Application Note-Electromagnetic Interference and Compatibility
--13.11 Application Note-Textile Antennas and Sensors
--13.12 Application Note-RFID
---Summary
---Review Questions
---Problems
14 NUMERICAL METHODS
--14.1 Introduction
--14.2 Field Plotting
--14.3 The Finite Difference Method
--14.4 The Moment Method
--14.5 The Finite Element Method
--14.6 Application Note-Microstrip Lines
--14.7 Application Note-Commercial EM Software-FEKO
--14.8 Application Note-COMSOL Multiphysics
--14.9 Application Note-CST Microwave Studio
---Summary
---Review Questions
---Problems
APPENDIX A Mathematical Formulas
APPENDIX B Material Constants
APPENDIX C MATLAB
APPENDIX D The Complete Smith Chart
APPENDIX E Answers to Odd-Numbered Problems
INDEX