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1 Vector Algebra and Coordinate Systems |
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1 | (60) |
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1.1 Vectors and Vector Field |
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2 | (2) |
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4 | (12) |
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1.2.1 Vector Addition and Subtraction |
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4 | (2) |
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6 | (1) |
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1.2.3 Scalar or Dot Product |
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7 | (4) |
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1.2.4 Vector or Cross Product |
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11 | (3) |
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1.2.5 Scalar and Vector Triple Products |
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14 | (2) |
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1.3 Orthogonal Coordinate Systems |
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16 | (29) |
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1.3.1 Cartesian Coordinate System |
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17 | (10) |
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1.3.2 Cylindrical Coordinate System |
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27 | (9) |
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1.3.3 Spherical Coordinate System |
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36 | (9) |
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1.4 Coordinate Transformation |
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45 | (16) |
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1.4.1 Cartesian-Cartesian Transformation |
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45 | (3) |
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1.4.2 Cylindrical-Cartesian Transformation |
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48 | (2) |
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1.4.3 Spherical-Cartesian Transformation |
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50 | (11) |
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61 | (56) |
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2.1 Line and Surface Integrals |
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62 | (12) |
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62 | (3) |
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65 | (6) |
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71 | (3) |
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2.2 Directional Derivative and Gradient |
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74 | (8) |
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2.3 Flux and Flux Density |
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82 | (2) |
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2.4 Divergence and Divergence Theorem |
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84 | (10) |
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2.4.1 Divergence of a Flux Density |
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85 | (4) |
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89 | (5) |
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2.5 Curl and Stokes's Theorem |
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94 | (10) |
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2.5.1 Curl of a Vector Field |
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94 | (7) |
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101 | (3) |
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104 | (3) |
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107 | (10) |
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117 | (94) |
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118 | (4) |
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3.2 Electric Field Intensity |
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122 | (11) |
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3.2.1 Electric Field due to Discrete Charges |
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123 | (3) |
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3.2.2 Electric Field due to a Continuous Charge Distribution |
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126 | (7) |
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3.3 Electric Flux Density and Gauss's Law |
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133 | (11) |
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3.3.1 Electric Flux Density |
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133 | (3) |
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136 | (8) |
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144 | (12) |
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3.4.1 Work Done in Moving a Charge |
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144 | (1) |
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3.4.2 Electric Potential due to a Charge Distribution |
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145 | (5) |
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150 | (2) |
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3.4.4 E as the Negative Gradient of V |
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152 | (4) |
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3.5 Dielectric in a Static Electric Field |
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156 | (12) |
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3.5.1 Electric Polarization |
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157 | (3) |
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3.5.2 Dielectric Constant |
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160 | (4) |
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3.5.3 Boundary Conditions at a Dielectric Interface |
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164 | (4) |
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3.6 Perfect Conductor in a Static Electric Field |
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168 | (4) |
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3.7 Electrostatic Potential Energy |
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172 | (4) |
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3.8 Electrostatic Boundary Value Problems |
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176 | (15) |
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3.8.1 Poisson's and Laplace's Equations |
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176 | (2) |
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178 | (2) |
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3.8.3 Examples of Boundary Values Problems |
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180 | (5) |
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185 | (6) |
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3.9 Capacitance and Capacitors |
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191 | (20) |
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3.9.1 Parallel-Plate Capacitor |
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193 | (1) |
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3.9.2 Examples of Capacitors |
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194 | (17) |
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4 Steady Electric Current |
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211 | (26) |
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212 | (3) |
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4.2 Conduction Current and Ohm's Law |
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215 | (3) |
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218 | (3) |
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4.4 Equation of Continuity |
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221 | (4) |
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4.4.1 Relaxation Time Constant |
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223 | (2) |
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4.5 Power Dissipation and Joules's Law |
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225 | (2) |
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4.6 Steady Currents at an Interface |
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227 | (3) |
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4.7 Analogy between D and J |
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230 | (7) |
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237 | (88) |
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5.1 Lorentz Force Equation |
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238 | (2) |
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240 | (7) |
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5.3 Ampere's Circuital Law |
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247 | (6) |
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5.4 Magnetic Flux Density |
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253 | (4) |
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5.5 Vector Magnetic Potential |
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257 | (8) |
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5.5.1 Ampere's Circuital Law from the Biot-Savart Law |
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259 | (6) |
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265 | (4) |
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269 | (19) |
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5.7.1 Magnetization and Equivalent Current Densities |
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270 | (4) |
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274 | (7) |
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5.7.3 Hysteresis of a Ferromagnetic Material |
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281 | (3) |
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5.7.4 Magnetic Boundary Conditions |
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284 | (4) |
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5.8 Inductance and Inductors |
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288 | (9) |
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297 | (8) |
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5.9.1 Magnetic Energy in an Inductor |
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298 | (2) |
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5.9.2 Magnetic Energy in Terms of Magnetic Field |
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300 | (5) |
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5.10 Magnetic Force and Torque |
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305 | (20) |
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5.10.1 Magnetic Force on a Current-Carrying Conductor |
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305 | (2) |
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5.10.2 Magnetic Force Involved in a Virtual Work |
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307 | (2) |
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309 | (16) |
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6 Time-Varying Fields and Maxwell's Equations |
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325 | (32) |
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326 | (13) |
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328 | (4) |
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332 | (4) |
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6.1.3 A Loop Moving in a Time-Varying Magnetic Field |
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336 | (3) |
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6.2 Displacement Current Density |
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339 | (3) |
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342 | (6) |
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6.3.1 Maxwell's Equations in Integral Form |
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344 | (1) |
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6.3.2 Electromagnetic Boundary Conditions |
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345 | (3) |
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348 | (9) |
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357 | (28) |
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7.1 One-Dimensional Waves |
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357 | (13) |
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361 | (3) |
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7.1.2 Complex Form of a Harmonic Wave |
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364 | (6) |
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7.2 Plane Waves in Three-Dimensional Space |
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370 | (5) |
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7.3 Electromagnetic Plane Waves |
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375 | (10) |
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7.3.1 Transverse Electromagnetic Waves |
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378 | (7) |
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8 Time-Harmonic Electromagnetic Waves |
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385 | (78) |
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385 | (5) |
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8.1.1 Maxwell's Equations in Phasor Form |
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388 | (2) |
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8.2 Waves in Homogenous Media |
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390 | (30) |
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8.2.1 Uniform Plane Wave in a Lossless Dielectric |
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390 | (5) |
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8.2.2 Poynting Vector and Power Flow |
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395 | (4) |
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8.2.3 Polarization of a Uniform Plane Wave |
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399 | (1) |
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8.2.3.1 Linearly Polarized Wave |
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399 | (2) |
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8.2.3.2 Circularly Polarized Wave |
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401 | (2) |
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8.2.3.3 Elliptically Polarized Wave |
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403 | (3) |
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8.2.4 Uniform Plane Wave in a Lossy Medium |
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406 | (1) |
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8.2.4.1 Lossy Dielectric with a Damping Force |
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407 | (3) |
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8.2.4.2 Lossy Dielectric of a Low Conductivity |
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410 | (4) |
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414 | (6) |
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8.3 Plane Waves at an Interface |
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420 | (32) |
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8.3.1 Normal Incidence of a Plane Wave |
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420 | (3) |
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8.3.1.1 Standing Wave Ratio |
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423 | (5) |
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8.3.1.2 Interface Involving a Perfect Conductor |
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428 | (4) |
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8.3.2 Oblique Incidence of a Plane Wave |
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432 | (4) |
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8.3.2.1 Perpendicular Polarization |
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436 | (3) |
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8.3.2.2 Parallel Polarization |
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439 | (5) |
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444 | (3) |
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8.3.3 Total Internal Reflection |
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447 | (2) |
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8.3.4 Reflectance and Transmittance |
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449 | (3) |
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8.4 Waves in Dispersive Media |
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452 | (11) |
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463 | (50) |
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9.1 Transmission Line Equations |
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465 | (4) |
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9.1.1 Phasor Form of Transmission Line Equations |
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467 | (1) |
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9.1.2 Relationship between Parameters |
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468 | (1) |
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9.2 Transmission Line Parameters |
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469 | (4) |
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9.2.1 Coaxial Transmission Lines |
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470 | (1) |
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9.2.2 Two-Wire Transmission Lines |
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471 | (1) |
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9.2.3 Parallel-Plate Transmission Lines |
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472 | (1) |
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9.3 Infinite Transmission Lines |
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473 | (7) |
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9.3.1 Lossless Transmission Lines |
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475 | (1) |
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9.3.2 Distortionless Transmission Lines |
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476 | (2) |
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9.3.3 Power Transmission and Power Loss |
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478 | (2) |
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9.4 Finite Transmission Lines |
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480 | (13) |
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481 | (3) |
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9.4.2 Reflection Coefficient and Standing Wave Ratio |
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484 | (6) |
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9.4.3 Short-Circuited and Open-Circuited Lines |
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490 | (1) |
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9.4.3.1 Short-Circuited Line (ZL = 0) |
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491 | (1) |
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9.4.3.2 Open-Circuited Line (ZL = ∞) |
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491 | (2) |
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493 | (20) |
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9.5.1 Relationship between Γ and ZL |
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494 | (2) |
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9.5.2 Relationship between Γ and Zin |
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496 | (3) |
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9.5.3 Relationship between Γ and Standing Wave Ratio |
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499 | (2) |
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9.5.4 Admittances on the Smith Chart |
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501 | (4) |
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9.5.5 Impedance Matching with a Single-Stub |
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505 | (8) |
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513 | (44) |
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10.1 Parallel-Plate Waveguides |
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514 | (10) |
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10.1.1 Transverse Electromagnetic(TEM) Waves |
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514 | (1) |
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10.1.2 Transverse Electric(TE) Waves |
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515 | (5) |
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10.1.3 Transverse Magnetic(TM) Waves |
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520 | (4) |
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10.2 Rectangular Waveguides |
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524 | (33) |
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10.2.1 Transverse Magnetic(TM) Modes |
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527 | (1) |
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10.2.1.1 Longitudinal Field Component of a TM Mode |
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528 | (4) |
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10.2.1.2 Transverse Field Components of a TM Mode |
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532 | (3) |
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10.2.1.3 Orthonormal Set in TM Modes |
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535 | (4) |
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10.2.2 Transverse Electric(TE) Modes |
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539 | (4) |
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10.2.2.1 Orthonormal Set in TE Modes |
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543 | (5) |
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548 | (9) |
Appendix: Material Constants |
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557 | (2) |
Subject Index |
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559 | |