Fundamentals of Electromagnetics for Electrical and Computer Engineering

by Rao, Nannapaneni Narayana

• ISBN13: 9780136013334
• ISBN10: 0136013333
• Edition: 1st
• Format: Hardcover
• Copyright: 2008-05-27
• Publisher: Prentice Hall

Summary

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.

Author Biography

Nannapaneni Narayana Rao Edward C. Jordan Professor Emeritus of Electrical and Computer Engineering University of Illinois at Urbana-Champaign, USA Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham (Amrita University), India

Table of Contents

Preface	p. ix
About the Author	p. xiii
Gratitude and "Grattitude"	p. xv
Vectors and Fields	p. 1
Vector Algebra	p. 1
Cartesian Coordinate System	p. 9
Scalar and Vector Fields	p. 13
Sinusoidally Time-Varying Fields	p. 16
The Electric Field	p. 21
The Magnetic Field	p. 27
Summary	p. 31
Review Questions	p. 33
Problems	p. 35
Maxwell's Equations in Integral Form	p. 38
The Line Integral	p. 38
The Surface Integral	p. 43
Faraday's Law	p. 49
Ampere's Circuital Law	p. 54
Gauss' Law for the Electric Field	p. 59
Gauss' Law for the Magnetic Field	p. 63
Summary	p. 64
Review Questions	p. 66
Problems	p. 68
Maxwell's Equations in Differential Form	p. 71
Faraday's Law	p. 71
Ampere's Circuital Law	p. 78
Curl and Stokes' Theorem	p. 82
Gauss' Law for the Electric Field	p. 88
Gauss' Law for the Magnetic Field	p. 92
Divergence and the Divergence Theorem	p. 93
Summary	p. 98
Review Questions	p. 102
Problems	p. 103
Wave Propagation in Free Space	p. 106
The Infinite Plane Current Sheet	p. 106
Magnetic Field Adjacent to the Current Sheet	p. 108
Successive Solution of Maxwell's Equations	p. 111
Solution by Wave Equation	p. 115
Uniform Plane Waves	p. 118
Poynting Vector and Energy Storage	p. 129
Summary	p. 133
Review Questions	p. 135
Problems	p. 137
Wave Propagation in Material Media	p. 141
Conductors and Dielectrics	p. 141
Magnetic Materials	p. 149
Wave Equation and Solution	p. 154
Uniform Plane Waves in Dielectrics and Conductors	p. 161
Boundary Conditions	p. 166
Reflection and Transmission of Uniform Plane Waves	p. 173
Summary	p. 177
Review Questions	p. 180
Problems	p. 181
Statics, Quasistatics, and Transmission Lines	p. 186
Gradient and Electric Potential	p. 186
Poisson's and Laplace's Equations	p. 192
Static Fields and Circuit Elements	p. 197
Low-Frequency Behavior via Quasistatics	p. 205
The Distributed Circuit Concept and the Parallel-Plate Transmission Line	p. 211
Transmission Line with an Arbitrary Cross Section	p. 217
Summary	p. 223
Review Questions	p. 226
Problems	p. 228
Transmission-Line Analysis	p. 232
Frequency Domain	p. 232
Short-Circuited Line and Frequency Behavior	p. 234
Transmission-Line Discontinuity	p. 241
The Smith Chart	p. 246
Time Domain	p. 254
Line Terminated by Resistive Load	p. 256
Lines with Initial Conditions	p. 266
Interconnections between Logic Gates	p. 272
Summary	p. 278
Review Questions	p. 282
Problems	p. 283
Waveguide Principles	p. 290
Uniform Plane Wave Propagation in an Arbitrary Direction	p. 290
Transverse Electric Waves in a Parallel-Plate Waveguide	p. 298
Dispersion and Group Velocity	p. 304
Rectangular Waveguide and Cavity Resonator	p. 310
Reflection and Refraction of Plane Waves	p. 316
Dielectric Slab Guide	p. 325
Summary	p. 331
Review Questions	p. 334
Problems	p. 335
Antenna Basics	p. 339
Hertzian Dipole	p. 339
Radiation Resistance and Directivity	p. 347
Half-Wave Dipole	p. 353
Antenna Arrays	p. 357
Image Antennas	p. 361
Receiving Properties	p. 363
Summary	p. 368
Review Questions	p. 370
Problems	p. 371
Supplementary Topics	p. 375
Wave Propagation in Ionized Medium	p. 375
Wave Propagation in Anisotropic Medium	p. 380
Electromagnetic Compatibility and Shielding	p. 387
Crosstalk on Transmission Lines	p. 395
Parallel-Plate Waveguide Discontinuity	p. 403
Magnetic Vector Potential and the Loop Antenna	p. 406
Appendices
Cylindrical and Spherical Coordinate Systems	p. 413
Curl, Divergence, and Gradient in Cylindrical and Spherical Coordinate Systems	p. 420
Units and Dimensions	p. 427
Suggested Collateral and Further Reading	p. 432
Answers to Odd-Numbered Problems	p. 433
Index	p. 443
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