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<p>Preface xiii</p> <p><b>Part I Math Foundations of EMC 1</b></p> <p><b>1 Matrix and Vector Algebra 3</b></p> <p>1.1 Basic Concepts and Operations 3</p> <p>1.2 Matrix Multiplication 5</p> <p>1.3 Special Matrices 6</p> <p>1.4 Matrices and Determinants 7</p> <p>1.5 Inverse of a Matrix 9</p> <p>1.6 Matrices and Systems of Equations 10</p> <p>1.7 Solution of Systems of Equations 11</p> <p>1.8 Cramer’s Rule 12</p> <p>1.9 Vector Operations 13</p> <p>1.10 EMC Applications 14</p> <p>References 21</p> <p><b>2 Coordinate Systems 23</b></p> <p>2.1 Cartesian Coordinate System 23</p> <p>2.2 Cylindrical Coordinate System 25</p> <p>2.3 Spherical Coordinate System 27</p> <p>2.4 Transformations between Coordinate Systems 29</p> <p>2.5 EMC Applications 33</p> <p>References 35</p> <p><b>3 Vector Differential Calculus 37</b></p> <p>3.1 Derivatives 37</p> <p>3.2 Differential Elements 40</p> <p>3.3 Constant?]Coordinate Surfaces 45</p> <p>3.4 Differential Operators 50</p> <p>3.5 EMC Applications 55</p> <p>References 57</p> <p><b>4 Vector Integral Calculus 59</b></p> <p>4.1 Line Integrals 59</p> <p>4.2 Surface Integrals 66</p> <p>4.3 Volume Integrals 71</p> <p>4.4 Divergence Theorem of Gauss 71</p> <p>4.5 Stokes’s Theorem 71</p> <p>4.6 EMC Applications 72</p> <p>References 79</p> <p><b>5 Differential Equations 81</b></p> <p>5.1 First Order Differential Equations – RC and RL Circuits 81</p> <p>5.2 Second?]Order Differential Equations – Series and Parallel RLC Circuits 85</p> <p>5.3 Helmholtz Wave Equations 95</p> <p>5.4 EMC Applications 99</p> <p>References 108</p> <p><b>6 Complex Numbers and Phasors 109</b></p> <p>6.1 Definitions and Forms 109</p> <p>6.2 Complex Conjugate 111</p> <p>6.3 Operations on Complex Numbers 113</p> <p>6.4 Properties of Complex Numbers 118</p> <p>6.5 Complex Exponential Function 118</p> <p>6.6 Sinusoids and Phasors 119</p> <p>6.7 EMC Applications 123</p> <p>References 140</p> <p><b>Part II Circuits Foundations of EMC 141</b></p> <p><b>7 Basic Laws and Methods of Circuit Analysis 143</b></p> <p>7.1 Fundamental Concepts 143</p> <p>7.2 Laplace Transform Basics 147</p> <p>7.3 Fundamental Laws 152</p> <p>7.4 EMC Applications 183</p> <p>References 187</p> <p><b>8 Systematic Methods of Circuit Analysis 189</b></p> <p>8.1 Node Voltage Analysis 189</p> <p>8.2 Mesh Current Analysis 192</p> <p>8.3 EMC Applications 195</p> <p>References 202</p> <p><b>9 Circuit Theorems and Techniques 203</b></p> <p>9.1 Superposition 203</p> <p>9.2 Source Transformation 207</p> <p>9.3 Thévenin Equivalent Circuit 211</p> <p>9.4 Norton Equivalent Circuit 217</p> <p>9.5 Maximum Power Transfer 220</p> <p>9.6 Two?]Port Networks 224</p> <p>9.7 EMC Applications 236</p> <p>References 241</p> <p><b>10 Magnetically Coupled Circuits 243</b></p> <p>10.1 Self and Mutual Inductance 243</p> <p>10.2 Energy in a Coupled Circuit 248</p> <p>10.3 Linear (Air?]Core) Transformers 250</p> <p>10.4 Ideal (Iron?]Core) Transformers 251</p> <p>10.5 EMC Applications 255</p> <p>References 258</p> <p><b>11 Frequency?]Domain Analysis 259</b></p> <p>11.1 Transfer Function 259</p> <p>11.2 Frequency?]Transfer Function 267</p> <p>11.3 Bode Plots 272</p> <p>11.4 Passive Filters 277</p> <p>11.5 Resonance in RLC Circuits 294</p> <p>11.6 EMC Applications 308</p> <p>References 327</p> <p><b>12 Frequency Content of Digital Signals 329</b></p> <p>12.1 Fourier Series and Frequency Content of Signals 329</p> <p>12.2 EMC Applications 347</p> <p>References 351</p> <p><b>Part III Electromagnetics Foundations of EMC 353</b></p> <p><b>13 Static and Quasi?]Static Electric Fields 355</b></p> <p>13.1 Charge Distributions 355</p> <p>13.2 Coulomb’s Law 356</p> <p>13.3 Electric Field Intensity 357</p> <p>13.4 Electric Field Due to Charge Distributions 358</p> <p>13.5 Electric Flux Density 359</p> <p>13.6 Gauss’s Law for the Electric Field 360</p> <p>13.7 Applications of Gauss’s Law 360</p> <p>13.8 Electric Scalar Potential and Voltage 367</p> <p>13.9 Voltage Calculations due to Charge Distributions 369</p> <p>13.10 Electric Flux Lines and Equipotential Surfaces 373</p> <p>13.11 Maxwell’s Equations for Static Electric Field 374</p> <p>13.12 Capacitance Calculations of Structures 374</p> <p>13.13 Electric Boundary Conditions 380</p> <p>13.14 EMC Applications 385</p> <p>References 402</p> <p><b>14 Static and Quasi?]Static Magnetic Fields 403</b></p> <p>14.1 Magnetic Flux Density 403</p> <p>14.2 Magnetic Field Intensity 404</p> <p>14.3 Biot–Savart Law 404</p> <p>14.4 Current Distributions 405</p> <p>14.5 Ampere’s Law 406</p> <p>14.6 Applications of Ampere’s Law 407</p> <p>14.7 Magnetic Flux 409</p> <p>14.8 Gauss’s Law for Magnetic Field 410</p> <p>14.9 Maxwell’s Equations for Static Fields 410</p> <p>14.10 Vector Magnetic Potential 411</p> <p>14.11 Faraday’s Law 412</p> <p>14.12 Inductance Calculations of Structures 416</p> <p>14.13 Magnetic Boundary Conditions 418</p> <p>References 437</p> <p><b>15 Rapidly Varying Electromagnetic Fields 439</b></p> <p>15.1 Eddy Currents 439</p> <p>15.2 Charge?]Current Continuity Equation 440</p> <p>15.3 Displacement Current 441</p> <p>15.4 EMC Applications 444</p> <p>References 452</p> <p><b>16 Electromagnetic Waves 453</b></p> <p>16.1 Uniform Waves – Time Domain Analysis 453</p> <p>16.2 Uniform Waves – Sinusoidal Steady?]State Analysis 460</p> <p>16.3 Reflection and Transmission of Uniform Waves at Boundaries 464</p> <p>16.4 EMC Applications 467</p> <p>References 474</p> <p><b>17 Transmission Lines 475</b></p> <p>17.1 Transient Analysis 475</p> <p>17.2 Steady?]State Analysis 509</p> <p>17.3 s Parameters 520</p> <p>17.4 EMC Applications 527</p> <p>References 542</p> <p><b>18 Antennas and Radiation 543</b></p> <p>18.1 Bridge between the Transmission Line and Antenna Theory 543</p> <p>18.2 Hertzian Dipole Antenna 544</p> <p>18.3 Far Field Criteria 548</p> <p>18.4 Half?]Wave Dipole Antenna 551</p> <p>18.5 Quarter?]Wave Monopole Antenna 554</p> <p>18.6 Image Theory 554</p> <p>18.7 Differential?] and Common?]Mode Currents and Radiation 557</p> <p>18.8 Common Mode Current Creation 565</p> <p>18.9 Antenna Circuit Model 571</p> <p>18.10 EMC Applications 575</p> <p>References 582</p> <p><b>Appendix A EMC Tests and Measurements 583</b></p> <p>A.1 Introduction – FCC Part 15 and CISPR 22 Standards 583</p> <p>A.2 Conducted Emissions 588</p> <p>A.3 Radiated Emissions 600</p> <p>A.4 Conducted Immunity – ISO 11452?]4 608</p> <p>A.5 Radiated Immunity 615</p> <p>A.6 Electrostatic Discharge (ESD) 620</p> <p>References 627</p> <p>Index 629</p>

<p><b>Bogdan Adamczyk</b> is Professor of Engineering and the founder and director of the EMC Center at Grand Valley State University, Grand Rapids, USA. He is also the founder and principal educator of EMC Educational Services LLC, which specializes in EMC courses for industry. Professor Adamczyk's area of expertise is EMC education and EMC pre-compliance testing.<br />He is an iNARTE-certified EMC Master Design Engineer, a founding member and the chair of the IEEE EMC Chapter of West Michigan, and a member of the IEEE EMC Society Education Committee. He was a 2016 IEEE EMC Symposium Global University and Fundamentals of EMC instructor. This book has evolved from his participation at several IEEE EMC Symposia, EMC pre-compliance testing at the EMC Center, and his teaching of the Foundations of Electromagnetic Compatibility certificate courses for industry.</p>

<p>There is currently no single book that covers the mathematics, circuits, and electromagnetics backgrounds needed for the study of electromagnetic compatibility (EMC). This book aims to redress the balance by focusing on EMC and providing a background in all three disciplines. This background is necessary for many EMC practitioners who have been out of study for some time and who are attempting to follow and confidently utilize more advanced EMC texts. <p>The book is split into three parts: Part I is a refresher course in the underlying mathematics; Part II provides the foundational concepts of electrical circuit theory; Part III is the heart of the book: electric and magnetic fields, waves, transmission lines, and antennas. Each part of the book provides an independent area of study, yet each is the logical step to the next area, providing a comprehensive course through each topic. Practical EMC applications at the end of each chapter illustrate the applicability of the chapter topics. The appendix reviews the fundamentals of EMC testing and measurements. <p>This book: <ul> <li>is unique in packaging the three key topics of mathematics, circuits, and electromagnetics foundations into one comprehensive reference</li> <li>is supported by each chapter's practical EMC applications, which illustrate the applicability of the topics</li> <li>has an appendix reviewing the fundamentals of EMC testing and measurements</li> <li>refreshes the mathematical and circuits skills of the EMC engineer</li> <li>has useful support texts for those undertaking self-study or attempting to follow more advanced EMC texts.</li> </ul><br>

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