| Preface |
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ix | |
| Advertisement |
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xi | |
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1 | (57) |
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1 | (12) |
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1 | (3) |
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Vector Algebra: Component Form |
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4 | (3) |
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7 | (1) |
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Position, Displacement, and Separation Vectors |
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8 | (2) |
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10 | (3) |
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13 | (11) |
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13 | (1) |
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13 | (3) |
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16 | (1) |
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17 | (2) |
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19 | (1) |
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20 | (2) |
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22 | (2) |
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24 | (14) |
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Line, Surface, and Volume Integrals |
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24 | (1) |
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The Fundamental Theorem of Calculus |
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24 | (5) |
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The Fundamental Theorem for Gradients |
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29 | (2) |
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The Fundamental Theorem for Divergences |
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31 | (3) |
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The Fundamental Theorem for Curls |
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34 | (3) |
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37 | (1) |
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38 | (7) |
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Spherical Polar Coordinates |
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38 | (5) |
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43 | (2) |
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45 | (7) |
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45 | (1) |
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The One-Dimensional Dirac Delta Function |
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46 | (4) |
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The Three-Dimensional Delta Function |
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50 | (2) |
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The Theory of Vector Fields |
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52 | (6) |
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52 | (1) |
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53 | (5) |
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58 | (52) |
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58 | (7) |
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58 | (1) |
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59 | (1) |
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60 | (1) |
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Continous Charge Distributions |
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61 | (4) |
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Divergence and Curl of Electrostatic Fields |
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65 | (12) |
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Field Lines, Flux, and Gauss's Law |
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65 | (4) |
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69 | (1) |
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Applications of Gauss's Law |
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70 | (6) |
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76 | (1) |
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77 | (13) |
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Introduction of Potential |
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77 | (2) |
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79 | (4) |
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Poisson's Equation and Laplace's Equation |
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83 | (1) |
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The Potential of a Localized Charge Distribution |
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83 | (4) |
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Summary; Electrostatic Boundary Conditions |
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87 | (3) |
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Work and Energy in Electrostatics |
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90 | (6) |
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The Work Done to Move a Charge |
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90 | (1) |
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The Energy of a Point Charge Distribution |
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91 | (2) |
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The Energy of a Continuous Charge Distribution |
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93 | (2) |
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Comments on Electrostatic Energy |
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95 | (1) |
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96 | (14) |
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96 | (2) |
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98 | (4) |
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Surface Charge and the Force on a Conductor |
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102 | (1) |
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103 | (7) |
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110 | (50) |
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110 | (11) |
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110 | (1) |
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Laplace's Equation in One Dimension |
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111 | (1) |
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Laplace's Equation in Two Dimensions |
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112 | (2) |
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Laplace's Euqation in Three Dimensions |
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114 | (2) |
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Boundary Conditions and Uniqueness Theorems |
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116 | (2) |
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Conductors and the Second Uniqueness Theorem |
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118 | (3) |
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121 | (6) |
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The Classic Image Problem |
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121 | (2) |
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123 | (1) |
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123 | (1) |
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124 | (3) |
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127 | (19) |
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127 | (10) |
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137 | (9) |
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146 | (14) |
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Approximate Potentials at Large Distances |
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146 | (3) |
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The Monopole and Dipole Terms |
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149 | (2) |
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Origin of Coordinates in Multipole Expansions |
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151 | (2) |
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The Electric Field of a Dipole |
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153 | (7) |
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Electric Fields in Matter |
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160 | (42) |
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160 | (6) |
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160 | (1) |
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160 | (3) |
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Alignment of Polar Molecules |
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163 | (3) |
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166 | (1) |
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The Field of a Polarized Object |
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166 | (9) |
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166 | (4) |
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Physical Interpretation of Bound Charges |
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170 | (3) |
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The Field Inside a Dielectric |
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173 | (2) |
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The Electric Displacement |
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175 | (4) |
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Gauss's Law in the Presence of Dielectrics |
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175 | (3) |
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178 | (1) |
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178 | (1) |
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179 | (23) |
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Susceptibility, Permittivity, Dielectric Constant |
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179 | (7) |
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Boundary Value Problems with Linear Dielectrics |
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186 | (5) |
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Energy in Dielectric Systems |
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191 | (2) |
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193 | (9) |
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202 | (53) |
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202 | (13) |
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202 | (2) |
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204 | (4) |
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208 | (7) |
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215 | (6) |
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215 | (1) |
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The Magnetic Field of a Steady Current |
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215 | (6) |
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The Divergence and Curl of B |
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221 | (13) |
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221 | (1) |
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The Divergence and Curl of B |
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222 | (3) |
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Applications of Ampere's Law |
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225 | (7) |
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Comparison of Magnetostatics and Electrostatics |
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232 | (2) |
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Magnetic Vector Potential |
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234 | (21) |
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234 | (6) |
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Summary; Magnetostatic Boundary Conditions |
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240 | (2) |
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Multipole Expansion of the Vector Potential |
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242 | (13) |
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Magnetic Fields in Matter |
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255 | (30) |
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255 | (8) |
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Diamagnets, Paramagnets, Ferromagnets |
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255 | (1) |
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Torques and Forces on Magnetic Dipoles |
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255 | (5) |
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Effect of a Magnetic Field on Atomic Orbits |
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260 | (2) |
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262 | (1) |
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The Field of a Magnetized Object |
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263 | (6) |
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263 | (3) |
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Physical Interpretation of Bound Currents |
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266 | (2) |
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The Magnetic Field Inside Matter |
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268 | (1) |
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269 | (5) |
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Ampere's law in Magnetized Materials |
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269 | (4) |
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273 | (1) |
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273 | (1) |
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Linear and Nonlinear Media |
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274 | (11) |
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Magnetic Susceptibility and Permeability |
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274 | (4) |
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278 | (7) |
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285 | (60) |
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285 | (16) |
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285 | (7) |
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292 | (2) |
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294 | (7) |
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Electromagnetic Induction |
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301 | (20) |
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301 | (4) |
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The Induced Electric Field |
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305 | (5) |
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310 | (7) |
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Energy in Magnetic Fields |
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317 | (4) |
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321 | (24) |
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Electrodynamics Before Maxwell |
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321 | (2) |
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How Maxwell Fixed Ampere's Law |
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323 | (3) |
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326 | (1) |
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327 | (1) |
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Maxwell's Equations in Matter |
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328 | (3) |
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331 | (14) |
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345 | (19) |
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345 | (4) |
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345 | (1) |
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346 | (3) |
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349 | (15) |
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Newton's Thrid Law in Electrodynamics |
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349 | (2) |
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351 | (4) |
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355 | (3) |
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358 | (6) |
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364 | (52) |
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364 | (11) |
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364 | (3) |
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367 | (3) |
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Boundary Conditions: Reflection and Transmission |
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370 | (3) |
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373 | (2) |
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Electromagnetic Waves in Vacuum |
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375 | (7) |
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The Wave Eqation for E and B |
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375 | (1) |
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Monochromatic Plane Waves |
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376 | (4) |
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Energy and Momentum in Electromagnetic Waves |
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380 | (2) |
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Electromagnetic Waves in Matter |
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382 | (10) |
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Propagation in Linear Media |
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382 | (2) |
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Reflection and Transmission at Normal Incidence |
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384 | (2) |
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Reflection and Transmission at Oblique Incidence |
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386 | (6) |
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Absorption and Dispersion |
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392 | (13) |
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Electromagnetic Waves in Conductors |
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392 | (4) |
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Reflection at a Conducting Surface |
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396 | (2) |
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The Frequency Dependence of Permittivity |
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398 | (7) |
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405 | (11) |
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405 | (3) |
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TE Waves in a Rectangular Wave Guide |
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408 | (3) |
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The Coaxial Transmission Line |
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411 | (5) |
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416 | (27) |
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The Potential Formulation |
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416 | (6) |
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Scalar and Vector Potentials |
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416 | (3) |
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419 | (2) |
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Coulomb Gauge and Lorentz Gauge |
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421 | (1) |
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422 | (7) |
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427 | (1) |
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427 | (2) |
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429 | (14) |
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Lienard-Wiechert Potentials |
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429 | (6) |
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The Fields of a Moving Point Charge |
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435 | (8) |
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443 | (34) |
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443 | (17) |
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443 | (1) |
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Electric Dipole Radiation |
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444 | (7) |
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Magnetic Dipole Radiation |
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451 | (3) |
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Radiation from an Arbitrary Source |
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454 | (6) |
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460 | (17) |
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Power Radiated by a Point Charge |
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460 | (5) |
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465 | (4) |
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The Physical Basis of the Radiation Reaction |
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469 | (8) |
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Electrodynamics and Relativity |
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477 | (70) |
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The Special Theory of Relativity |
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477 | (30) |
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477 | (6) |
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The Geometry of Relativity |
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483 | (10) |
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The Lorentz Transformations |
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493 | (7) |
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The Structure of Spacetime |
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500 | (7) |
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507 | (15) |
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Proper Time and Proper Velocity |
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507 | (2) |
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Relativistic Energy and Momentum |
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509 | (2) |
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511 | (5) |
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516 | (6) |
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Relativistic Electrodynamics |
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522 | (25) |
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Magnetism as a Relativistic Phenomenon |
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522 | (3) |
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525 | (10) |
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535 | (2) |
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Electrodynamics in Tensor Notation |
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537 | (4) |
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541 | (6) |
| A Vector Calculus in Curvilinear Coordinates |
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547 | (8) |
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547 | (1) |
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547 | (1) |
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548 | (1) |
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549 | (3) |
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552 | (2) |
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554 | (1) |
| B The Helmholtz Theorem |
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555 | (3) |
| C Units |
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558 | (4) |
| Index |
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562 | |
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