Fundamentals of engineering electromagnetics

✍ Scribed by Cheng, David Keun

• Publisher: Pearson Education
• Year: 2013;2014
• Tongue: English
• Leaves: 511
• Category: Library

✦ Synopsis

This book is designed for use as an undergraduate text on engineering electromagnetics. Electromagnetics is one of the most fundamental subjects in an electrical engineering curriculum. Knowledge of the laws governing electric and magnetic fields is essential to the understanding of the principle of operation of electric and magnetic instruments and machines, and mastery of the basic theory of electromagnetic waves is indispensible to explaining action-at-a-distance electromagnetic phenomena and systems.

✦ Table of Contents

Cover......Page 1
Title......Page 2
Preface......Page 4
Contents......Page 11
1-1 Overview ......Page 17
1-2 The Electromagnetic Model......Page 19
1-3 SI Units and Universal Constants......Page 23
Summary......Page 25
2-1 Overview......Page 27
2-2 Vector Addition and Subtraction......Page 29
2-3.1 Scalar or Dot Product......Page 31
2-3.2 Vector or Cross Product......Page 33
2-3.3 Products of Three Vectors......Page 34
2-4 Orthogonal Coordinate Systems......Page 36
2-4.1 Cartesian Coordinates......Page 37
2-4.2 Cylindrical Coordinates......Page 43
2-4.3 Spherical Coordinates......Page 48
2-5 Gradient of a Scalar Field......Page 54
2-6 Divergence of a Vector Field......Page 58
2-7 Divergence Theorem......Page 63
2-8 Curl of a Vector Field......Page 67
2-9 Stokes's Theorem......Page 74
2-10.1 Identity I......Page 77
2-10.2 Identity II......Page 78
2-11 Field Classification and Helmholtz's Theorem......Page 79
Summary......Page 81
Problems......Page 82
3-1 Overview......Page 87
3-2 Fundamental Postulates of Electrostatics in Free Space......Page 89
3-3 Coulomb's Law......Page 91
3-3.2 Electric Field due to a Continuous Distribution of Charge......Page 96
3-4 Gauss's Law and Applications......Page 100
3-5 Electric Potential......Page 105
3-5.1 Electric Potential due to a Charge Distribution......Page 107
3-6 Material Media in Static Electric Field......Page 112
3-6.1 Conductors in Static Electric Field......Page 113
3-6.2 Dielectrics in Static Electric Field......Page 117
3-7 Electric Flux Density and Dielectric Constant......Page 120
3-7.1 Dielectric Strength......Page 123
3-8 Boundary Conditions for Electrostatic Fields......Page 126
3-9 Capacitances and Capacitors......Page 131
3-10 Electrostatic Energy and Forces......Page 135
3-10.1 Electrostatic Energy in Terms of Field Quantities......Page 138
3-10.2 Electrostatic Forces......Page 141
3-11 Solution of Electrostatic Boundary-Value Problems......Page 143
3-11.1 Poisson's and Laplace's Equations......Page 144
3-11.2 Boundary-Value Problems in Cartesian Coordinates......Page 145
3-11.3 Boundary-Value Problems in Cylindrical Coordinates......Page 147
3-11.4 Boundary-Value Problems in Spherical Coordinates......Page 149
3-11.5 Method of Images......Page 151
Problems......Page 158
4-1 Overview......Page 165
4-2 Current Density and Ohm's Law......Page 166
4-3 Equation of Continuity and Kirchhoff's Current Law......Page 172
4-4 Power Dissipation and Joule's Law......Page 174
4-5 Governing Equations for Steady Current Density......Page 175
4-6 Resistance Calculations......Page 177
Summary......Page 181
Problems......Page 182
5-1 Overview......Page 185
5-2 Fundamental Postulates of Magnetostatics in Free Space......Page 187
5-3 Vector Magnetic Potential......Page 193
5-4 The Biot-Savart Law and Applications......Page 195
5-5 The Magnetic Dipole......Page 201
5-6 Magnetization and Equivalent Current Densities......Page 205
5-7 Magnetic Field Intensity and Relative Permeability......Page 209
5-8 Behavior of Magnetic Materials......Page 211
5-9 Boundary Conditions for Magnetostatic Fields......Page 214
5-10 Inductances and Inductors......Page 216
5-11 Magnetic Energy......Page 225
5-11.1 Magnetic Energy in Terms of Field Quantities......Page 226
5-12.1 Forces and Torques on Current-Carrying Conductors......Page 229
5-12.2 Direct-Current Motors......Page 234
5-12.3 Forces and Torques in Terms of Stored Magnetic Energy......Page 235
Problems......Page 238
6-1 Overview......Page 243
6-2 Faraday's Law of Electromagnetic Induction......Page 245
6-2.1 A Stationary Circuit in a Time-Varying Magnetic Field......Page 246
6-2.2 Transformers......Page 247
6-2.3 A Moving Conductor in a Magnetic Field......Page 250
6-2.4 A Moving Circuit in a Time-Varying Magnetic Field......Page 254
6-3 Maxwell's Equations......Page 258
6-3.1 Integral Form of Maxwell's Equations......Page 260
6-3.2 Electromagnetic Boundary Conditions......Page 263
6-4 Potential Functions......Page 266
6-4.1 Solution of Wave Equations......Page 268
6-5.1 The Use of Phasors—A Review......Page 270
6-5.2 Time-Harmonic Electromagnetics......Page 274
6-5.3 The Electromagnetic Spectrum......Page 278
Summary......Page 282
Problems......Page 283
7-1 Overview......Page 287
7-2 Plane Waves in Lossless Media......Page 288
7-2.1 Doppler Effect......Page 294
7-2.2 Transverse Electromagnetic Waves......Page 296
7-2.3 Polarization of Plane Waves......Page 298
7-3 Plane Waves in Lossy Media......Page 302
7-3.1 Low-Loss Dielectrics......Page 305
7-3.2 Good Conductors......Page 306
7-4 Group Velocity......Page 311
7-5 Flow of Electromagnetic Power and the Poynting Vector......Page 313
7-5.1 Instantaneous and Average Power Densities......Page 316
7-6 Normal Incidence of Plane Waves at Plane Boundaries......Page 319
7-6.1 Normal Incidence on a Good Conductor......Page 324
7-7 Oblique Incidence of Plane Waves at Plane Boundaries......Page 328
7-7.1 Total Reflection......Page 330
7-7.2 The Ionosphere......Page 334
7-7.3 Perpendicular Polarization......Page 336
7-7.4 Parallel Polarization......Page 340
7-7.5 Brewster Angle of No Reflection......Page 342
Problems......Page 345
8-1 Overview......Page 351
8-2 General Transmission-Line Equations......Page 353
8-3 Transmission-Line Parameters......Page 356
8-3.1 Microstrip Lines......Page 361
8-4 Wave Characteristics on an Infinite Transmission Line......Page 362
8-4.1 Attenuation Constant from Power Relations......Page 366
8-5 Wave Characteristics on Finite Transmission Lines......Page 368
8-5.1 Open-Circuited and Short-circuited Lines......Page 371
8-5.2 Characteristic Impedance and Propagation Constantfrom Input Measurement......Page 372
8-5.3 Reflection Coefficient and Standing-Wave Ratio......Page 375
8-6 The Smith Chart......Page 381
8-6.1 Admittances on Smith Chart......Page 389
8-7 Transmission-Line Impedance Matching......Page 392
Summary......Page 396
Problems......Page 397
9-1 Overview......Page 401
9-2 General Wave Behaviors along Uniform Guiding Structures......Page 402
9-2.1 Transverse Electromagnetic Waves......Page 405
9-2.2 Transverse Magnetic Waves......Page 406
9-2.3 Transverse Electric Waves......Page 409
9-3.1 TM Waves in Rectangular Waveguides......Page 415
9-3.2 TE Waves in Rectangular Waveguides......Page 419
9-3.3 Attenuation in Rectangular Waveguides......Page 424
9-4 Other Waveguide Types......Page 428
9-5 Cavity Resonators......Page 429
9-5.1 Rectangular Cavity Resonators......Page 430
9-5.2 Quality Factor of Cavity Resonators......Page 434
Summary......Page 437
Problems......Page 438
10-1 Overview......Page 441
10-2 The Elemental Electric Dipole......Page 443
10-3 Antenna Patterns and Directivity......Page 445
10-4 Thin Linear Antennas......Page 451
10-4.1 The Half-Wave Dipole......Page 454
10-5.1 Two-Element Arrays......Page 457
10-5.2 General Uniform Linear Arrays......Page 461
10-6 Effective Area and Backscatter Cross Section......Page 466
10-6.1 Effective Area......Page 467
10-6.2 Backscatter Cross Section......Page 469
10-7 Friis Transmission Formula and Radar Equation......Page 470
Problems......Page 475
A-1 Fundamental SI (Rationalized MKSA) Units......Page 480
A-2 Derived Quantities......Page 481
A-3 Multiples and Submultiples of Units......Page 483
B-2 Physical Constants of Electron and Proton......Page 484
B-4 Conductivities......Page 485
B-5 Relative Permeabilities......Page 486
Bibliography......Page 488
Answers to Odd-Numbered Problems......Page 490
INDEX......Page 498
BACK ENDPAPERS......Page 511

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