Preface |
|
xii | |
Advertisement |
|
xiv | |
|
|
1 | (58) |
|
|
1 | (12) |
|
|
1 | (3) |
|
1.1.2 Vector Algebra: Component Form |
|
|
4 | (3) |
|
|
7 | (1) |
|
1.1.4 Position, Displacement, and Separation Vectors |
|
|
8 | (2) |
|
1.1.5 How Vectors Transform |
|
|
10 | (3) |
|
1.2 Differential Calculus |
|
|
13 | (11) |
|
1.2.1 "Ordinary" Derivatives |
|
|
13 | (1) |
|
|
13 | (3) |
|
|
16 | (1) |
|
|
17 | (1) |
|
|
18 | (2) |
|
|
20 | (2) |
|
|
22 | (2) |
|
|
24 | (14) |
|
1.3.1 Line, Surface, and Volume Integrals |
|
|
24 | (5) |
|
1.3.2 The Fundamental Theorem of Calculus |
|
|
29 | (1) |
|
1.3.3 The Fundamental Theorem for Gradients |
|
|
29 | (2) |
|
1.3.4 The Fundamental Theorem for Divergences |
|
|
31 | (3) |
|
1.3.5 The Fundamental Theorem for Curls |
|
|
34 | (2) |
|
1.3.6 Integration by Parts |
|
|
36 | (2) |
|
1.4 Curvilinear Coordinates |
|
|
38 | (7) |
|
1.4.1 Spherical Coordinates |
|
|
38 | (5) |
|
1.4.2 Cylindrical Coordinates |
|
|
43 | (2) |
|
1.5 The Dirac Delta Function |
|
|
45 | (7) |
|
1.5.1 The Divergence of r/r2 |
|
|
45 | (1) |
|
1.5.2 The One-Dimensional Dirac Delta Function |
|
|
46 | (4) |
|
1.5.3 The Three-Dimensional Delta Function |
|
|
50 | (2) |
|
1.6 The Theory of Vector Fields |
|
|
52 | (7) |
|
1.6.1 The Helmholtz Theorem |
|
|
52 | (1) |
|
|
53 | (6) |
|
|
59 | (54) |
|
|
59 | (7) |
|
|
59 | (1) |
|
|
60 | (1) |
|
|
61 | (2) |
|
2.1.4 Continuous Charge Distributions |
|
|
63 | (3) |
|
2.2 Divergence and Curl of Electrostatic Fields |
|
|
66 | (12) |
|
2.2.1 Field Lines, Flux, and Gauss's Law |
|
|
66 | (5) |
|
2.2.2 The Divergence of E |
|
|
71 | (1) |
|
2.2.3 Applications of Gauss's Law |
|
|
71 | (6) |
|
|
77 | (1) |
|
|
78 | (13) |
|
2.3.1 Introduction to Potential |
|
|
78 | (2) |
|
2.3.2 Comments on Potential |
|
|
80 | (3) |
|
2.3.3 Poisson's Equation and Laplace's Equation |
|
|
83 | (1) |
|
2.3.4 The Potential of a Localized Charge Distribution |
|
|
84 | (4) |
|
2.3.5 Boundary Conditions |
|
|
88 | (3) |
|
2.4 Work and Energy in Electrostatics |
|
|
91 | (6) |
|
2.4.1 The Work It Takes to Move a Charge |
|
|
91 | (1) |
|
2.4.2 The Energy of a Point Charge Distribution |
|
|
92 | (2) |
|
2.4.3 The Energy of a Continuous Charge Distribution |
|
|
94 | (2) |
|
2.4.4 Comments on Electrostatic Energy |
|
|
96 | (1) |
|
|
97 | (16) |
|
|
97 | (2) |
|
|
99 | (4) |
|
2.5.3 Surface Charge and the Force on a Conductor |
|
|
103 | (2) |
|
|
105 | (8) |
|
|
113 | (54) |
|
|
113 | (11) |
|
|
113 | (1) |
|
3.1.2 Laplace's Equation in One Dimension |
|
|
114 | (1) |
|
3.1.3 Laplace's Equation in Two Dimensions |
|
|
115 | (2) |
|
3.1.4 Laplace's Equation in Three Dimensions |
|
|
117 | (2) |
|
3.1.5 Boundary Conditions and Uniqueness Theorems |
|
|
119 | (2) |
|
3.1.6 Conductors and the Second Uniqueness Theorem |
|
|
121 | (3) |
|
|
124 | (6) |
|
3.2.1 The Classic Image Problem |
|
|
124 | (1) |
|
3.2.2 Induced Surface Charge |
|
|
125 | (1) |
|
|
126 | (1) |
|
3.2.4 Other Image Problems |
|
|
127 | (3) |
|
3.3 Separation of Variables |
|
|
130 | (21) |
|
3.3.1 Cartesian Coordinates |
|
|
131 | (10) |
|
3.3.2 Spherical Coordinates |
|
|
141 | (10) |
|
|
151 | (16) |
|
3.4.1 Approximate Potentials at Large Distances |
|
|
151 | (3) |
|
3.4.2 The Monopole and Dipole Terms |
|
|
154 | (3) |
|
3.4.3 Origin of Coordinates in Multipole Expansions |
|
|
157 | (1) |
|
3.4.4 The Electric Field of a Dipole |
|
|
158 | (9) |
|
4 Electric Fields in Matter |
|
|
167 | (43) |
|
|
167 | (6) |
|
|
167 | (1) |
|
|
167 | (3) |
|
4.1.3 Alignment of Polar Molecules |
|
|
170 | (2) |
|
|
172 | (1) |
|
4.2 The Field of a Polarized Object |
|
|
173 | (8) |
|
|
173 | (3) |
|
4.2.2 Physical Interpretation of Bound Charges |
|
|
176 | (3) |
|
4.2.3 The Field Inside a Dielectric |
|
|
179 | (2) |
|
4.3 The Electric Displacement |
|
|
181 | (4) |
|
4.3.1 Gauss's Law in the Presence of Dielectrics |
|
|
181 | (3) |
|
4.3.2 A Deceptive Parallel |
|
|
184 | (1) |
|
4.3.3 Boundary Conditions |
|
|
185 | (1) |
|
|
185 | (25) |
|
4.4.1 Susceptibility, Permittivity, Dielectric Constant |
|
|
185 | (7) |
|
4.4.2 Boundary Value Problems with Linear Dielectrics |
|
|
192 | (5) |
|
4.4.3 Energy in Dielectric Systems |
|
|
197 | (5) |
|
4.4.4 Forces on Dielectrics |
|
|
202 | (8) |
|
|
210 | (56) |
|
5.1 The Lorentz Force Law |
|
|
210 | (13) |
|
|
210 | (2) |
|
|
212 | (4) |
|
|
216 | (7) |
|
|
223 | (6) |
|
|
223 | (1) |
|
5.2.2 The Magnetic Field of a Steady Current |
|
|
224 | (5) |
|
5.3 The Divergence and Curl of B |
|
|
229 | (14) |
|
5.3.1 Straight-Line Currents |
|
|
229 | (2) |
|
5.3.2 The Divergence and Curl of B |
|
|
231 | (2) |
|
|
233 | (8) |
|
5.3.4 Comparison of Magnetostatics and Electrostatics |
|
|
241 | (2) |
|
5.4 Magnetic Vector Potential |
|
|
243 | (23) |
|
5.4.1 The Vector Potential |
|
|
243 | (6) |
|
5.4.2 Boundary Conditions |
|
|
249 | (3) |
|
5.4.3 Multipole Expansion of the Vector Potential |
|
|
252 | (14) |
|
6 Magnetic Fields in Matter |
|
|
266 | (30) |
|
|
266 | (8) |
|
6.1.1 Diamagnets, Paramagnets, Ferromagnets |
|
|
266 | (1) |
|
6.1.2 Torques and Forces on Magnetic Dipoles |
|
|
266 | (5) |
|
6.1.3 Effect of a Magnetic Field on Atomic Orbits |
|
|
271 | (2) |
|
|
273 | (1) |
|
6.2 The Field of a Magnetized Object |
|
|
274 | (5) |
|
|
274 | (3) |
|
6.2.2 Physical Interpretation of Bound Currents |
|
|
277 | (2) |
|
6.2.3 The Magnetic Field Inside Matter |
|
|
279 | (1) |
|
6.3 The Auxiliary Field H |
|
|
279 | (5) |
|
6.3.1 Ampere's Law in Magnetized Materials |
|
|
279 | (4) |
|
6.3.2 A Deceptive Parallel |
|
|
283 | (1) |
|
6.3.3 Boundary Conditions |
|
|
284 | (1) |
|
6.4 Linear and Nonlinear Media |
|
|
284 | (12) |
|
6.4.1 Magnetic Susceptibility and Permeability |
|
|
284 | (4) |
|
|
288 | (8) |
|
|
296 | (60) |
|
|
296 | (16) |
|
|
296 | (7) |
|
7.1.2 Electromotive Force |
|
|
303 | (2) |
|
|
305 | (7) |
|
7.2 Electromagnetic Induction |
|
|
312 | (20) |
|
|
312 | (5) |
|
7.2.2 The Induced Electric Field |
|
|
317 | (4) |
|
|
321 | (7) |
|
7.2.4 Energy in Magnetic Fields |
|
|
328 | (4) |
|
|
332 | (24) |
|
7.3.1 Electrodynamics Before Maxwell |
|
|
332 | (2) |
|
7.3.2 How Maxwell Fixed Ampere's Law |
|
|
334 | (3) |
|
7.3.3 Maxwell's Equations |
|
|
337 | (1) |
|
|
338 | (2) |
|
7.3.5 Maxwell's Equations in Matter |
|
|
340 | (2) |
|
7.3.6 Boundary Conditions |
|
|
342 | (14) |
|
|
356 | (26) |
|
|
356 | (4) |
|
8.1.1 The Continuity Equation |
|
|
356 | (1) |
|
|
357 | (3) |
|
|
360 | (13) |
|
8.2.1 Newton's Third Law in Electrodynamics |
|
|
360 | (2) |
|
8.2.2 Maxwell's Stress Tensor |
|
|
362 | (4) |
|
8.2.3 Conservation of Momentum |
|
|
366 | (4) |
|
|
370 | (3) |
|
8.3 Magnetic Forces Do No Work |
|
|
373 | (9) |
|
|
382 | (54) |
|
9.1 Waves in One Dimension |
|
|
382 | (11) |
|
|
382 | (3) |
|
|
385 | (3) |
|
9.1.3 Boundary Conditions: Reflection and Transmission |
|
|
388 | (3) |
|
|
391 | (2) |
|
9.2 Electromagnetic Waves in Vacuum |
|
|
393 | (8) |
|
9.2.1 The Wave Equation for E and B |
|
|
393 | (1) |
|
9.2.2 Monochromatic Plane Waves |
|
|
394 | (4) |
|
9.2.3 Energy and Momentum in Electromagnetic Waves |
|
|
398 | (3) |
|
9.3 Electromagnetic Waves in Matter |
|
|
401 | (11) |
|
9.3.1 Propagation in Linear Media |
|
|
401 | (2) |
|
9.3.2 Reflection and Transmission at Normal Incidence |
|
|
403 | (2) |
|
9.3.3 Reflection and Transmission at Oblique Incidence |
|
|
405 | (7) |
|
9.4 Absorption and Dispersion |
|
|
412 | (13) |
|
9.4.1 Electromagnetic Waves in Conductors |
|
|
412 | (4) |
|
9.4.2 Reflection at a Conducting Surface |
|
|
416 | (1) |
|
9.4.3 The Frequency Dependence of Permittivity |
|
|
417 | (8) |
|
|
425 | (11) |
|
|
425 | (3) |
|
9.5.2 TE Waves in a Rectangular Wave Guide |
|
|
428 | (3) |
|
9.5.3 The Coaxial Transmission Line |
|
|
431 | (5) |
|
|
436 | (30) |
|
10.1 The Potential Formulation |
|
|
436 | (8) |
|
10.1.1 Scalar and Vector Potentials |
|
|
436 | (3) |
|
10.1.2 Gauge Transformations |
|
|
439 | (1) |
|
10.1.3 Coulomb Gauge and Lorenz Gauge |
|
|
440 | (2) |
|
10.1.4 Lorentz Force Law in Potential Form |
|
|
442 | (2) |
|
10.2 Continuous Distributions |
|
|
444 | (7) |
|
10.2.1 Retarded Potentials |
|
|
444 | (5) |
|
10.2.2 Jefimenko's Equations |
|
|
449 | (2) |
|
|
451 | (15) |
|
10.3.1 Lienard-Wiechert Potentials |
|
|
451 | (5) |
|
10.3.2 The Fields of a Moving Point Charge |
|
|
456 | (10) |
|
|
466 | (36) |
|
|
466 | (16) |
|
11.1.1 What is Radiation? |
|
|
466 | (1) |
|
11.1.2 Electric Dipole Radiation |
|
|
467 | (6) |
|
11.1.3 Magnetic Dipole Radiation |
|
|
473 | (4) |
|
11.1.4 Radiation from an Arbitrary Source |
|
|
477 | (5) |
|
|
482 | (20) |
|
11.2.1 Power Radiated by a Point Charge |
|
|
482 | (6) |
|
11.2.2 Radiation Reaction |
|
|
488 | (4) |
|
11.2.3 The Mechanism Responsible for the Radiation Reaction |
|
|
492 | (10) |
|
12 Electrodynamics and Relativity |
|
|
502 | (73) |
|
12.1 The Special Theory of Relativity |
|
|
502 | (30) |
|
12.1.1 Einstein's Postulates |
|
|
502 | (6) |
|
12.1.2 The Geometry of Relativity |
|
|
508 | (11) |
|
12.1.3 The Lorentz Transformations |
|
|
519 | (6) |
|
12.1.4 The Structure of Spacetime |
|
|
525 | (7) |
|
12.2 Relativistic Mechanics |
|
|
532 | (18) |
|
12.2.1 Proper Time and Proper Velocity |
|
|
532 | (3) |
|
12.2.2 Relativistic Energy and Momentum |
|
|
535 | (2) |
|
12.2.3 Relativistic Kinematics |
|
|
537 | (5) |
|
12.2.4 Relativistic Dynamics |
|
|
542 | (8) |
|
12.3 Relativistic Electrodynamics |
|
|
550 | (25) |
|
12.3.1 Magnetism as a Relativistic Phenomenon |
|
|
550 | (3) |
|
12.3.2 How the Fields Transform |
|
|
553 | (9) |
|
|
562 | (3) |
|
12.3.4 Electrodynamics in Tensor Notation |
|
|
565 | (4) |
|
12.3.5 Relativistic Potentials |
|
|
569 | (6) |
|
A Vector Calculus in Curvilinear Coordinates |
|
|
575 | (7) |
|
|
575 | (1) |
|
|
575 | (1) |
|
|
576 | (1) |
|
|
577 | (2) |
|
|
579 | (2) |
|
|
581 | (1) |
|
|
582 | (3) |
|
|
585 | (4) |
Index |
|
589 | |