Fundamentals of Electromagnetics for Electrical and Computer Engineering
Fundamentals of Electromagnetics for Electrical and Computer Engineering, First Edition is appropriate for all beginning courses in electromagnetics, in both electrical engineering and computer engineering programs. This is ideal for anyone interested in learning more about electromagnetics.\ Dr. N. Narayana Rao has designed this compact, one-semester textbook in electromagnetics to fully reflect the evolution of technologies in both electrical and computer engineering. This book’s unique...
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Dr. N. Narayana Rao has designed this compact treatise in electromagnetics to fully reflect the evolution of technologies in both electrical and computer engineering. Dr. Rao develops most key concepts through the use of the simpler Cartesian coordinate system, while utilizing other coordinate systems wherever necessary to ensure that readers master the physical concepts and mathematical tools they need to understand electromagnetics.Topics covered in this book include: uniform plane wave propagation; material media and their interaction with uniform plane wave fields; essentials of transmission-line analysis (both frequency- and time-domain); metallic waveguides; and Hertzian dipole field solutions. Material on cylindrical and spherical coordinate systems is presented in appendices, where it can be studied whenever relevant or convenient. Worked examples are presented throughout to illuminate (and in some cases extend) key concepts; each chapter also contains a summary and review questions.Appropriate for anyone interested in learning more about electromagnetics.
Preface ixAbout the Author xiiiGratitude and "Grattitude" xvVectors and Fields 1Vector Algebra 1Cartesian Coordinate System 9Scalar and Vector Fields 13Sinusoidally Time-Varying Fields 16The Electric Field 21The Magnetic Field 27Summary 31Review Questions 33Problems 35Maxwell's Equations in Integral Form 38The Line Integral 38The Surface Integral 43Faraday's Law 49Ampere's Circuital Law 54Gauss' Law for the Electric Field 59Gauss' Law for the Magnetic Field 63Summary 64Review Questions 66Problems 68Maxwell's Equations in Differential Form 71Faraday's Law 71Ampere's Circuital Law 78Curl and Stokes' Theorem 82Gauss' Law for the Electric Field 88Gauss' Law for the Magnetic Field 92Divergence and the Divergence Theorem 93Summary 98Review Questions 102Problems 103Wave Propagation in Free Space 106The Infinite Plane Current Sheet 106Magnetic Field Adjacent to the Current Sheet 108Successive Solution of Maxwell's Equations 111Solution by Wave Equation 115Uniform Plane Waves 118Poynting Vector and Energy Storage 129Summary 133Review Questions 135Problems 137Wave Propagation in Material Media 141Conductors and Dielectrics 141Magnetic Materials 149Wave Equation and Solution 154Uniform Plane Waves in Dielectrics and Conductors 161Boundary Conditions 166Reflection and Transmission of Uniform Plane Waves 173Summary 177Review Questions 180Problems 181Statics, Quasistatics, and Transmission Lines 186Gradient and Electric Potential 186Poisson's and Laplace's Equations 192Static Fields and Circuit Elements 197Low-Frequency Behavior via Quasistatics 205The Distributed Circuit Concept and the Parallel-Plate Transmission Line 211Transmission Line with an Arbitrary Cross Section 217Summary 223Review Questions 226Problems 228Transmission-Line Analysis 232Frequency Domain 232Short-Circuited Line and Frequency Behavior 234Transmission-Line Discontinuity 241The Smith Chart 246Time Domain 254Line Terminated by Resistive Load 256Lines with Initial Conditions 266Interconnections between Logic Gates 272Summary 278Review Questions 282Problems 283Waveguide Principles 290Uniform Plane Wave Propagation in an Arbitrary Direction 290Transverse Electric Waves in a Parallel-Plate Waveguide 298Dispersion and Group Velocity 304Rectangular Waveguide and Cavity Resonator 310Reflection and Refraction of Plane Waves 316Dielectric Slab Guide 325Summary 331Review Questions 334Problems 335Antenna Basics 339Hertzian Dipole 339Radiation Resistance and Directivity 347Half-Wave Dipole 353Antenna Arrays 357Image Antennas 361Receiving Properties 363Summary 368Review Questions 370Problems 371Supplementary Topics 375Wave Propagation in Ionized Medium 375Wave Propagation in Anisotropic Medium 380Electromagnetic Compatibility and Shielding 387Crosstalk on Transmission Lines 395Parallel-Plate Waveguide Discontinuity 403Magnetic Vector Potential and the Loop Antenna 406AppendicesCylindrical and Spherical Coordinate Systems 413Curl, Divergence, and Gradient in Cylindrical and Spherical Coordinate Systems 420Units and Dimensions 427Suggested Collateral and Further Reading 432Answers to Odd-Numbered Problems 433Index 443
