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1 Mathematical Preparations |
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1 | (46) |
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1 | (6) |
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7 | (5) |
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12 | (6) |
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1.3.1 Oriented Surface Elements |
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12 | (3) |
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15 | (3) |
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1.4 Differentiation Processes for Fields |
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18 | (8) |
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1.4.1 Integral Representation of the Divergence |
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18 | (4) |
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1.4.2 Integral Representation of the Curl |
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22 | (4) |
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26 | (8) |
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26 | (3) |
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29 | (4) |
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33 | (1) |
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1.6 Decomposition and Uniqueness Theorem for Vector Fields |
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34 | (5) |
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1.6.1 Decomposition Theorem |
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36 | (1) |
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37 | (2) |
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39 | (6) |
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1.8 Self-Examination Questions |
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45 | (2) |
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47 | (116) |
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47 | (24) |
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2.1.1 Charges and Currents |
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47 | (4) |
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2.1.2 Coulomb's Law, Electric Field |
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51 | (8) |
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2.1.3 Maxwell Equations of Electrostatics |
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59 | (5) |
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2.1.4 Field-Behavior at Interfaces |
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64 | (1) |
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2.1.5 Electrostatic Field Energy |
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65 | (4) |
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69 | (2) |
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2.2 Simple Electrostatic Problems |
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71 | (26) |
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2.2.1 Parallel-Plate Capacitor |
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71 | (2) |
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2.2.2 Spherical Capacitor |
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73 | (2) |
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2.2.3 Cylindrical Capacitor |
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75 | (2) |
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77 | (4) |
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81 | (3) |
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84 | (4) |
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2.2.7 Multipole Expansion |
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88 | (5) |
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2.2.8 Interaction of a Charge Distribution with an External Electric Field |
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93 | (2) |
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95 | (2) |
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2.3 Boundary-Value Problems in Electrostatics |
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97 | (43) |
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2.3.1 Formulation of the Boundary-Value Problem |
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97 | (2) |
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2.3.2 Classification of the Boundary Conditions |
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99 | (4) |
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103 | (5) |
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2.3.4 Method of Image Charges |
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108 | (7) |
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2.3.5 Expansion in Orthogonal Functions |
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115 | (6) |
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2.3.6 Separation of Variables |
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121 | (6) |
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2.3.7 Solution of the Laplace Equation in Spherical Coordinates |
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127 | (3) |
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2.3.8 Potential of a Point Charge, Spherical Multipole Moments |
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130 | (4) |
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134 | (6) |
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2.4 Electrostatics of Dielectrics (Macroscopic Media) |
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140 | (18) |
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2.4.1 Macroscopic Field Quantities |
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141 | (9) |
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2.4.2 Molecular Polarizability |
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150 | (4) |
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2.4.3 Boundary-Value Problems, Electrostatic Energy |
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154 | (2) |
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156 | (2) |
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2.5 Self-Examination Questions |
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158 | (5) |
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163 | (44) |
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164 | (7) |
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3.1.1 Electric Current: Ordered Motion of Electric Charges |
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164 | (1) |
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3.1.2 Current Intensity I |
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165 | (1) |
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165 | (1) |
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3.1.4 Continuity Equation |
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166 | (1) |
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167 | (2) |
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169 | (1) |
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169 | (1) |
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3.1.8 Special Case: Very Thin Wire ⇒ Thread of Current |
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170 | (1) |
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3.2 Basics of Magnetostatics |
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171 | (9) |
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171 | (4) |
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175 | (1) |
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176 | (2) |
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178 | (2) |
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180 | (8) |
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3.3.1 Magnetic Induction of a Local Current Distribution |
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180 | (4) |
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3.3.2 Force and Torque on a Local Current Distribution |
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184 | (3) |
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187 | (1) |
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3.4 Magnetostatics in Matter |
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188 | (16) |
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3.4.1 Macroscopic Field Quantities |
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188 | (5) |
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3.4.2 Classification of Magnetic Materials |
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193 | (4) |
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3.4.3 Field-Behavior at Interfaces |
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197 | (1) |
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3.4.4 Boundary-Value Problems |
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198 | (5) |
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203 | (1) |
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3.5 Self-Examination Questions |
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204 | (3) |
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207 | (214) |
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207 | (20) |
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4.1.1 Faraday's Law of Induction |
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207 | (5) |
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4.1.2 Maxwell's Supplement |
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212 | (2) |
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4.1.3 Electromagnetic Potentials |
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214 | (4) |
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218 | (4) |
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222 | (3) |
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225 | (2) |
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4.2 Quasi-Stationary Fields |
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227 | (30) |
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4.2.1 Mutual Induction and Self-induction |
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228 | (6) |
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4.2.2 Magnetic Field Energy |
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234 | (1) |
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4.2.3 Alternating Currents (AC) |
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235 | (8) |
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4.2.4 The Oscillator Circuit |
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243 | (6) |
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249 | (2) |
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4.2.6 Switching Processes |
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251 | (3) |
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254 | (3) |
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4.3 Electromagnetic Waves |
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257 | (97) |
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4.3.1 Homogeneous Wave Equation |
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258 | (1) |
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259 | (5) |
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4.3.3 Polarization of the Plane Waves |
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264 | (5) |
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269 | (5) |
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274 | (3) |
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4.3.6 Fourier Series, Fourier Integrals |
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277 | (10) |
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4.3.7 General Solution of the Wave Equation |
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287 | (3) |
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4.3.8 Energy Transport in Wave Fields |
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290 | (2) |
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4.3.9 Wave Propagation in Electric Conductors |
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292 | (9) |
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4.3.10 Reflection and Refraction of Electromagnetic Waves at an Insulator |
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301 | (16) |
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4.3.11 Interference and Diffraction |
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317 | (3) |
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4.3.12 Kirchhoff's Formula |
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320 | (3) |
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4.3.13 Diffraction by a Screen with a Small Aperture |
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323 | (4) |
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4.3.14 Diffraction by the Circular Disc; Poisson Spot |
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327 | (3) |
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4.3.15 Diffraction by a Circular Aperture |
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330 | (2) |
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4.3.16 Diffraction by the Crystal Lattice |
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332 | (8) |
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4.3.17 The Transition from Wave Optics to `Geometrical Optics' |
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340 | (7) |
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347 | (7) |
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4.4 Elements of Complex Analysis |
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354 | (27) |
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4.4.1 Sequences of Numbers |
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355 | (1) |
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356 | (3) |
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359 | (6) |
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4.4.4 Series of Complex Functions |
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365 | (9) |
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4.4.5 Cauchy's Residue Theorem |
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374 | (6) |
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380 | (1) |
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4.5 Creation of Electromagnetic Waves |
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381 | (34) |
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4.5.1 Inhomogeneous Wave Equation |
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381 | (5) |
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4.5.2 Temporally Oscillating Sources |
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386 | (3) |
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4.5.3 Electric Dipole Radiation |
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389 | (6) |
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4.5.4 Electric Quadrupole and Magnetic Dipole Radiation |
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395 | (6) |
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4.5.5 Radiation of Moving Point Charges |
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401 | (12) |
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413 | (2) |
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4.6 Self-Examination Questions |
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415 | (6) |
A Solutions of the Exercises |
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421 | (232) |
Index |
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653 | |