Preface |
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xiii | |
Part I Math Foundations of EMC |
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1 | (140) |
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1 Matrix and Vector Algebra |
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3 | (20) |
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1.1 Basic Concepts and Operations |
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3 | (2) |
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1.2 Matrix Multiplication |
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5 | (1) |
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6 | (1) |
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1.4 Matrices and Determinants |
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7 | (2) |
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9 | (1) |
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1.6 Matrices and Systems of Equations |
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10 | (1) |
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1.7 Solution of Systems of Equations |
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11 | (1) |
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12 | (1) |
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13 | (1) |
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13 | (1) |
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13 | (1) |
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14 | (7) |
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1.10.1 Crosstalk Model of Transmission Lines |
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14 | (3) |
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1.10.2 Radiated Susceptibility Test |
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17 | (3) |
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20 | (1) |
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21 | (2) |
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23 | (14) |
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2.1 Cartesian Coordinate System |
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23 | (2) |
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2.2 Cylindrical Coordinate System |
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25 | (2) |
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2.3 Spherical Coordinate System |
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27 | (2) |
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2.4 Transformations between Coordinate Systems |
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29 | (4) |
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2.4.1 Transformation between Cartesian and Cylindrical Systems |
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29 | (3) |
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2.4.2 Transformation between Cartesian and Spherical Systems |
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32 | (1) |
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33 | (2) |
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2.5.1 Radiation Fields of an Electric Dipole Antenna |
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33 | (2) |
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35 | (2) |
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3 Vector Differential Calculus |
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37 | (22) |
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37 | (3) |
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3.1.1 Basic Definition and Formulas |
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37 | (2) |
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3.1.2 Composite Function and Chain Rule |
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39 | (1) |
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39 | (1) |
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3.2 Differential Elements |
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40 | (5) |
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3.2.1 Differential Length Element |
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40 | (3) |
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3.2.2 Differential Surface Element |
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43 | (2) |
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3.2.3 Differential Volume Element |
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45 | (1) |
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3.3 Constant-Coordinate Surfaces |
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45 | (5) |
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3.3.1 Cartesian Coordinate System |
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46 | (1) |
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3.3.2 Cylindrical Coordinate System |
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46 | (1) |
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3.3.3 Spherical Coordinate System |
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47 | (1) |
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3.3.4 Differential Elements on Constant Coordinate Surfaces |
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48 | (2) |
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3.4 Differential Operators SO |
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50 | (1) |
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51 | (1) |
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52 | (2) |
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54 | (1) |
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55 | (2) |
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3.5.1 Transmission-Line Equations |
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55 | (1) |
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3.5.2 Maxwell's Equations in a Differential Form |
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56 | (1) |
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3.5.3 Electromagnetic Wave Equation |
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57 | (1) |
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57 | (2) |
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4 Vector Integral Calculus |
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59 | (22) |
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59 | (7) |
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4.1.1 Indefinite and Definite Integrals |
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59 | (2) |
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61 | (2) |
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4.1.3 Properties of Line Integrals |
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63 | (3) |
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66 | (5) |
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66 | (1) |
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67 | (4) |
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71 | (1) |
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4.4 Divergence Theorem of Gauss |
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71 | (1) |
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71 | (1) |
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72 | (7) |
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4.6.1 Maxwell's Equations in an Integral Form |
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72 | (1) |
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4.6.2 Loop and Partial Inductance |
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72 | (2) |
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4.6.3 Ground Bounce and Power Rail Collapse |
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74 | (5) |
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79 | (2) |
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81 | (28) |
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5.1 First Order Differential Equations - RC and RL Circuits |
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81 | (4) |
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81 | (2) |
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83 | (2) |
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5.2 Second-Order Differential Equations - Series and Parallel RLC Circuits |
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85 | (10) |
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85 | (9) |
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5.2.2 Parallel RLC Circuit |
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94 | (1) |
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5.3 Helmholtz Wave Equations |
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95 | (4) |
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99 | (9) |
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5.4.1 Inductive Termination of a Transmission Line |
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99 | (4) |
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5.4.2 Ringing on a Transmission Line |
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103 | (5) |
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108 | (1) |
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6 Complex Numbers and Phasors |
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109 | (32) |
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6.1 Definitions and Forms |
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109 | (2) |
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111 | (2) |
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6.3 Operations on Complex Numbers |
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113 | (5) |
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6.4 Properties of Complex,Numbers |
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118 | (1) |
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6.5 Complex Exponential Function |
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118 | (1) |
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6.6 Sinusoids and Phasors |
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119 | (4) |
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119 | (2) |
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121 | (2) |
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123 | (17) |
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6.7.1 Maxwell's Equations in a Phasor Form |
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123 | (2) |
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6.7.2 Transmission Line Equations in a Phasor Form |
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125 | (1) |
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6.7.3 Magnetic Vector Potential |
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125 | (3) |
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6.7.4 Radiated Fields of an Electric Dipole |
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128 | (9) |
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6.7.5 Electric Dipole Antenna Radiated Power |
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137 | (3) |
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140 | (1) |
Part II Circuits Foundations of EMC |
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141 | (212) |
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7 Basic Laws and Methods of Circuit Analysis |
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143 | (46) |
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143 | (4) |
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143 | (1) |
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143 | (1) |
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144 | (1) |
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7.1.4 Average Power in Sinusoidal Steady State |
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145 | (2) |
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7.2 Laplace Transform Basics |
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147 | (5) |
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7.2.1 Definition of Laplace Transform |
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147 | (2) |
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7.2.2 Properties of Laplace Transform |
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149 | (1) |
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7.2.3 Inverse Laplace Transform |
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150 | (2) |
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152 | (31) |
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7.3.1 Resistors and Ohm's Law |
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152 | (2) |
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7.3.2 Inductors and Capacitors |
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154 | (2) |
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7.3.3 Phasor Relationships for Circuit Elements |
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156 | (2) |
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7.3.4 s Domain Relationships for Circuit Elements |
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158 | (2) |
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7.3.5 Impedance in Phasor Domain |
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160 | (3) |
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7.3.6 Impedance in the s Domain |
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163 | (1) |
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7.3.7 Kirchhoff's Laws in the Time Domain |
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164 | (3) |
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7.3.8 Kirchhoff's Laws in the Phasor Domain |
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167 | (1) |
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7.3.9 Kirchhoff's Laws in the s Domain |
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168 | (1) |
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7.3.10 Resistors in Series and the Voltage Divider |
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169 | (3) |
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7.3.11 Resistors in Parallel and the Current Divider |
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172 | (4) |
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7.3.12 Impedance Combinations and Divider Rules in Phasor Domain |
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176 | (7) |
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183 | (4) |
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7.4.1 Crosstalk between PCB Traces |
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183 | (1) |
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7.4.2 Capacitive Termination of a Transmission Line |
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184 | (3) |
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187 | (2) |
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8 Systematic Methods of Circuit Analysis |
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189 | (14) |
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8.1 Node Voltage Analysis |
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189 | (3) |
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8.1.1 Node Analysis for the Resistive Circuits |
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189 | (3) |
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8.2 Mesh Current Analysis |
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192 | (3) |
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8.2.1 Mesh Analysis for the Resistive Circuits |
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192 | (3) |
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195 | (7) |
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8.3.1 Power Supply Filters - Common- and Differential-Mode Current Circuit Model |
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195 | (7) |
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202 | (1) |
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9 Circuit Theorems and Techniques |
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203 | (40) |
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203 | (4) |
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9.2 Source Transformation |
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207 | (4) |
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9.3 Thevenin Equivalent Circuit |
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211 | (6) |
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9.4 Norton Equivalent Circuit |
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217 | (3) |
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9.5 Maximum Power Transfer |
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220 | (4) |
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9.5.1 Maximum Power Transfer - Resistive Circuits |
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220 | (3) |
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9.5.2 Maximum Power Transfer - Sinusoidal Steady State |
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223 | (1) |
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224 | (12) |
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236 | (5) |
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9.7.1 Fourier Series Representation of Signals |
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236 | (2) |
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9.7.2 Maximum Power Radiated by an Antenna |
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238 | (2) |
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240 | (1) |
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241 | (2) |
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10 Magnetically Coupled Circuits |
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243 | (16) |
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10.1 Self and Mutual Inductance |
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243 | (5) |
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10.2 Energy in a Coupled Circuit |
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248 | (2) |
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10.3 Linear (Air-Core) Transformers |
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250 | (1) |
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10.4 Ideal (Iron-Core) Transformers |
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251 | (4) |
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255 | (3) |
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255 | (3) |
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258 | (1) |
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11 Frequency-Domain Analysis |
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259 | (70) |
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259 | (8) |
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11.2 Frequency-Transfer Function |
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267 | (5) |
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11.2.1 Sinusoidal Steady-State Output |
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268 | (4) |
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272 | (5) |
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277 | (17) |
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11.4.1 RL and RC Low-Pass Filters |
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277 | (3) |
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11.4.2 RL and RC High-Pass Filters |
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280 | (4) |
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11.4.3 Series and Parallel RLC Bandpass Filters |
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284 | (5) |
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11.4.4 Series and Parallel RLC Band-Reject Filters |
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289 | (5) |
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11.5 Resonance in RLC Circuits |
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294 | (14) |
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11.5.1 Resonance in Series RLC Bandpass Filter |
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294 | (6) |
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11.5.2 Resonance in Parallel RLC Bandpass Filter |
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300 | (4) |
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11.5.3 Resonance in Other RLC Circuits |
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304 | (4) |
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308 | (19) |
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11.6.1 Non-Ideal Behavior of Capacitors and Inductors |
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308 | (2) |
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11.6.2 Decoupling Capacitors |
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310 | (8) |
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318 | (9) |
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327 | (2) |
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12 Frequency Content of Digital Signals |
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329 | (24) |
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12.1 Fourier Series and Frequency Content of Signals |
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329 | (18) |
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12.1.1 Trigonometric Fourier Series |
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329 | (6) |
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12.1.2 Exponential Fourier Series |
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335 | (2) |
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12.1.3 Spectrum of the Digital Clock Signals |
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337 | (8) |
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12.1.4 Spectral Bounds on Digital Clock Signals |
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345 | (2) |
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347 | (4) |
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12.2.1 Effect of the Signal Amplitude, Fundamental Frequency, and Duty Cycle on the Frequency Content of Trapezoidal Signals |
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347 | (4) |
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351 | (2) |
Part III Electromagnetics Foundations of EMC |
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353 | (230) |
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13 Static and Quasi-Static Electric Fields |
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355 | (48) |
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13.1 Charge Distributions |
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355 | (1) |
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356 | (1) |
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13.3 Electric Field Intensity |
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357 | (1) |
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13.4 Electric Field Due to Charge Distributions |
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358 | (1) |
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13.5 Electric Flux Density |
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359 | (1) |
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13.6 Gauss's Law for the Electric Field |
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360 | (1) |
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13.7 Applications of Gauss's Law |
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360 | (7) |
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13.8 Electric Scalar Potential and Voltage |
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367 | (2) |
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13.9 Voltage Calculations due to Charge Distributions |
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369 | (4) |
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13.10 Electric Flux Lines and Equipotential Surfaces |
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373 | (1) |
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13.11 Maxwell's Equations for Static Electric Field |
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374 | (1) |
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13.12 Capacitance Calculations of Structures |
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374 | (6) |
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13.12.1 Definition of Capacitance |
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374 | (2) |
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13.12.2 Calculations of Capacitance |
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376 | (4) |
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13.13 Electric Boundary Conditions |
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380 | (5) |
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385 | (17) |
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13.14.1 Electrostatic Discharge (ESD) |
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385 | (7) |
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392 | (2) |
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13.14.3 Capacitive Coupling and Shielding |
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394 | (8) |
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402 | (1) |
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14 Static and Quasi-Static Magnetic Fields |
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403 | (36) |
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14.1 Magnetic Flux Density |
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403 | (1) |
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14.2 Magnetic Field Intensity |
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404 | (1) |
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404 | (1) |
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14.4 Current Distributions |
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405 | (1) |
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406 | (1) |
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14.6 Applications of Ampere's Law |
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407 | (2) |
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409 | (1) |
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14.8 Gauss's Law for Magnetic Field |
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410 | (1) |
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14.9 Maxwell's Equations for Static Fields |
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410 | (1) |
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14.10 Vector Magnetic Potential |
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411 | (1) |
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412 | (4) |
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14.12 Inductance Calculations of Structures |
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416 | (2) |
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14.13 Magnetic Boundary Conditions |
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418 | (5) |
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423 | (14) |
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423 | (3) |
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14.14.2 Magnetic Flux and Decoupling Capacitors |
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426 | (2) |
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14.14.3 Magnetic Coupling and Shielding |
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428 | (9) |
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437 | (2) |
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15 Rapidly Varying Electromagnetic Fields |
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439 | (14) |
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439 | (1) |
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15.2 Charge-Current Continuity Equation |
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440 | (1) |
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15.3 Displacement Current |
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441 | (3) |
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444 | (8) |
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15.4.1 Grounding and Current Return Path |
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444 | (4) |
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15.4.2 Common-Impedance Coupling |
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448 | (4) |
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452 | (1) |
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453 | (22) |
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16.1 Uniform Waves - Time Domain Analysis |
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453 | (7) |
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16.2 Uniform Waves - Sinusoidal Steady-State Analysis |
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460 | (4) |
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16.3 Reflection and Transmission of Uniform Waves at Boundaries |
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464 | (3) |
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467 | (7) |
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16.4.1 Electromagnetic Wave Shielding |
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467 | (7) |
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474 | (1) |
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475 | (68) |
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475 | (34) |
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17.1.1 Reflections on Transmission Lines |
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478 | (15) |
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493 | (3) |
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17.1.3 Reflections at an Inductive Load |
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496 | (3) |
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17.1.4 Reflections at a Capacitive Load |
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499 | (2) |
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17.1.5 Transmission Line Discontinuity |
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501 | (8) |
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17.2 Steady-State Analysis |
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509 | (11) |
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17.2.1 Lossy Transmission Lines |
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509 | (3) |
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512 | (8) |
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520 | (7) |
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527 | (15) |
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17.4.1 Crosstalk between PCB traces |
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527 | (8) |
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17.4.2 LISN Impedance Measurement |
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535 | (5) |
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17.4.3 Preamp Gain and Attenuator Loss Measurement |
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540 | (2) |
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542 | (1) |
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18 Antennas and Radiation |
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543 | (40) |
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18.1 Bridge between the Transmission Line and Antenna Theory |
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543 | (1) |
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18.2 Hertzian Dipole Antenna |
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544 | (4) |
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548 | (3) |
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18.3.1 Wire-Type Antennas |
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548 | (1) |
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18.3.2 Surface-Type Antennas |
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549 | (2) |
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18.4 Half-Wave Dipole Antenna |
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551 | (3) |
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18.5 Quarter-Wave Monopole Antenna |
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554 | (1) |
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554 | (3) |
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18.7 Differential- and Common-Mode Currents and Radiation |
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557 | (8) |
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18.7.1 Differential- and Common-Mode Currents |
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557 | (2) |
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18.7.2 Radiation from Differential- and Common-Mode Currents |
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559 | (6) |
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18.8 Common Mode Current Creation |
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565 | (6) |
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18.8.1 Circuits with a Shared Return Path |
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565 | (4) |
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18.8.2 Differential Signaling |
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569 | (1) |
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18.8.3 Common-Mode Current Creation |
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570 | (1) |
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18.9 Antenna Circuit Model |
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571 | (4) |
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18.9.1 Transmitting-Mode Model |
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571 | (2) |
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18.9.2 Receiving-Mode Model |
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573 | (2) |
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575 | (7) |
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18.10.1 EMC Antenna Measurements |
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575 | (2) |
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18.10.2 Antenna VSWR and Impedance Measurements |
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577 | (2) |
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18.10.3 Comb Transmitter Measurements |
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579 | (3) |
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582 | (1) |
Appendix A EMC Tests and Measurements |
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583 | (46) |
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A.1 Introduction - FCC Part 15 and CISPR 22 Standards |
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583 | (5) |
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A.1.1 Peak vs Quasi-Peak vs Average Measurements |
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583 | (2) |
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A.1.2 FCC and CISPR 22 Limits |
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585 | (3) |
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588 | (12) |
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A.2.1 FCC and CISPR 22 Voltage Method |
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591 | (1) |
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A.2.2 CISPR 25 Voltage Method |
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592 | (4) |
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A.2.3 CISPR 25 Current Probe Method |
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596 | (4) |
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600 | (8) |
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A.3.1 Open-Area Test Site (OATS) Measurements |
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602 | (1) |
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A.3.2 Semi-Anechoic Chamber Measurements |
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603 | (5) |
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A.4 Conducted Immunity - ISO 11452-4 |
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608 | (7) |
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A.4.1 Substitution Method |
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613 | (1) |
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A.4.2 Closed-Loop Method with Power Limitation |
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613 | (2) |
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615 | (5) |
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A.5.1 Radiated Immunity - ISO 11452-11 61S |
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A.5.2 Radiated Immunity - ISO 11452-2 |
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619 | (1) |
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A.6 Electrostatic Discharge (ESD) |
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620 | (7) |
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627 | (2) |
Index |
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629 | |