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1 | (2) |
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Electric and magnetic fields |
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3 | (1) |
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Characteristics of vector fields |
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4 | (1) |
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The laws of electromagnetism |
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5 | (4) |
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9 | (1) |
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Electromagnetism in science and technology |
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10 | |
|
Differential Calculus of Vector Fields |
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1 | (1) |
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Scalar and vector fields---T and h |
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2 | (2) |
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Derivatives of fields---the gradient |
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4 | (2) |
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6 | (1) |
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7 | (1) |
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The differential equation of heat flow |
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8 | (1) |
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Second derivatives of vector fields |
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9 | (2) |
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11 | |
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Vector integrals; the line integral of ψ |
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1 | (1) |
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The flux of a vector field |
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2 | (2) |
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The flux from a cube; Gauss' theorem |
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4 | (2) |
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Heat conduction; the diffusion equation |
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6 | (2) |
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The circulation of a vector field |
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8 | (1) |
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The circulation around a square; Stokes' theorem |
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9 | (1) |
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Curl-free and divergence-free fields |
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10 | (1) |
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11 | |
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1 | (1) |
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Coulomb's law; superposition |
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2 | (2) |
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4 | (2) |
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6 | (1) |
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7 | (2) |
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Gauss' law; divergence of E |
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9 | (1) |
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Field of a sphere of charge |
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10 | (1) |
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Field lines; equipotential surfaces |
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11 | |
|
Application of Gauss' Law |
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Electrostatics is Gauss's law plus |
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1 | (1) |
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Equilibrium in an electrostatic field |
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1 | (1) |
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Equilibrium with conductors |
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2 | (1) |
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3 | (1) |
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The field of a line charge |
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3 | (1) |
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A sheet of charge; two sheets |
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4 | (1) |
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A sphere of charge; a spherical shell |
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4 | (1) |
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Is the field of a point charge exactly 1/r2? |
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5 | (2) |
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The fields of a conductor |
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7 | (1) |
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The field in a cavity of a conductor |
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8 | |
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The Electric Field in Various Circumstances |
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Equations of the electrostatic potential |
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1 | (1) |
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2 | (2) |
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Remarks on vector equations |
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4 | (1) |
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The dipole potential as a gradient |
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4 | (2) |
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The dipole approximation for an arbitrary distribution |
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6 | (2) |
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The fields of charged conductors |
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8 | (1) |
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8 | (1) |
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A point charge near a conducting plane |
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9 | (1) |
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A point charge near a conducting sphere |
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10 | (1) |
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Condensers; parallel plates |
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11 | (2) |
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13 | (1) |
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The field-emission microscope |
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|
14 | |
|
The Electric Field in Various Circumstances (Continued) |
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Methods for finding the electrostatic field |
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1 | (1) |
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Two-dimensional fields; functions of the complex variable |
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2 | (3) |
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5 | (3) |
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Colloidal particles in an electrolyte |
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8 | (2) |
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The electrostatic field of a grid |
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10 | |
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The electrostatic energy of charges. A uniform sphere |
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1 | (1) |
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The energy of a condenser. Forces on charged conductors |
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2 | (2) |
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The electrostatic energy of an ionic crystal |
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4 | (2) |
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Electrostatic energy in nuclei |
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6 | (3) |
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Energy in the electrostatic field |
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9 | (3) |
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The energy of a point charge |
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|
12 | |
|
Electricity in the Atmosphere |
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The electric potential gradient of the atmosphere |
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1 | (1) |
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Electric currents in the atmosphere |
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2 | (2) |
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Origin of the atmospheric currents |
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4 | (1) |
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5 | (2) |
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The mechanism of charge separation |
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7 | (3) |
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10 | |
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1 | (1) |
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The polarization vector P |
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2 | (1) |
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3 | (3) |
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The electrostatic equations with dielectrics |
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6 | (1) |
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Fields and forces with dielectrics |
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7 | |
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1 | (1) |
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1 | (2) |
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Polar molecules; orientation polarization |
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3 | (2) |
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Electric fields in cavities of a dielectric |
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5 | (1) |
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The dielectric constant of liquids; the Clausius-Mossotti equation |
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6 | (2) |
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8 | (1) |
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8 | |
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The same equations have the same solutions |
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1 | (1) |
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The flow of heat; a point source near an infinite plane boundary |
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2 | (3) |
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5 | (1) |
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The diffusion of neutrons; a uniform spherical source in a homogeneous medium |
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6 | (2) |
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Irrotational fluid flow; the flow past a sphere |
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8 | (2) |
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Illumination; the uniform lighting of a plane |
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10 | (2) |
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The ``underlying unity'' of nature |
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12 | |
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1 | (1) |
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Electric current; the conservation of charge |
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1 | (1) |
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The magnetic force on a current |
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2 | (1) |
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The magnetic field of steady currents; Ampere's law |
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3 | (2) |
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The magnetic field of a straight wire and of a solenoid; atomic currents |
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5 | (1) |
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The relativity of magnetic and electric fields |
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6 | (5) |
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The transformation of currents and charges |
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11 | (1) |
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Superposition; the right-hand rule |
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|
11 | |
|
The Magnetic field in Various Situations |
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1 | (2) |
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The vector potential of known currents |
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3 | (1) |
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4 | (1) |
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5 | (2) |
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The field of a small loop; the magnetic dipole |
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7 | (1) |
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The vector potential of a circuit |
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8 | (1) |
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The law of Biot and Savart |
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|
9 | |
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The forces on a current loop; energy of a dipole |
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1 | (2) |
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Mechanical and electrical energies |
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3 | (3) |
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The energy of steady currents |
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6 | (1) |
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7 | (1) |
|
The vector potential and quantum mechanics |
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8 | (6) |
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What is true for statics is false for dynamics |
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|
14 | |
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1 | (3) |
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Transformers and inductances |
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4 | (1) |
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Forces on induced currents |
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5 | (3) |
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8 | |
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1 | (1) |
|
Exceptions to the ``flux rule'' |
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2 | (1) |
|
Particle acceleration by an induced electric field; the betatron |
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3 | (2) |
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5 | (1) |
|
Alternating-current generator |
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6 | (3) |
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9 | (2) |
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11 | (1) |
|
Inductance and magnetic energy |
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|
12 | |
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1 | (2) |
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3 | (2) |
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5 | (1) |
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|
5 | (3) |
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|
8 | (1) |
|
Solving Maxwell's equations; the potentials and the wave equation |
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|
9 | |
|
The Principle of Least Action |
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|
|
A special lecture---almost verbatim |
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|
1 | (13) |
|
A note added after the lecture |
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|
14 | |
|
Solutions of Maxwell's Equations in Free Space |
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|
Waves in free space; plane waves |
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|
1 | (7) |
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|
8 | (1) |
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|
9 | (3) |
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|
12 | |
|
Solutions of Maxwell's Equations with Currents and Charges |
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|
|
Light and electromagnetic waves |
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|
1 | (1) |
|
Spherical waves from a point source |
|
|
2 | (2) |
|
The general solution of Maxwell's equations |
|
|
4 | (1) |
|
The fields of an oscillating dipole |
|
|
5 | (4) |
|
The potentials of a moving charge; the general solution of Lienard and Wiechert |
|
|
9 | (3) |
|
The potentials for a charge moving with constant velocity; the Lorentz formula |
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|
12 | |
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|
1 | (4) |
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|
5 | (2) |
|
Networks of ideal elements; Kirchhoff's rules |
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|
7 | (3) |
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10 | (1) |
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11 | (1) |
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|
12 | (2) |
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|
14 | (2) |
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|
16 | |
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|
|
1 | (1) |
|
A capacitor at high frequencies |
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2 | (4) |
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|
6 | (3) |
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|
9 | (1) |
|
Cavities and resonant circuits |
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|
10 | |
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|
|
1 | (3) |
|
The rectangular waveguide |
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|
4 | (2) |
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|
6 | (1) |
|
The speed of the guided waves |
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|
7 | (1) |
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|
7 | (1) |
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|
8 | (2) |
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|
10 | (1) |
|
Another way of looking at the guided waves |
|
|
10 | |
|
Electrodynamics in Relativistic Notation |
|
|
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|
1 | (2) |
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|
3 | (3) |
|
The four-dimensional gradient |
|
|
6 | (2) |
|
Electrodynamics in four-dimensional notation |
|
|
8 | (1) |
|
The four-potential of a moving charge |
|
|
9 | (1) |
|
The invariance of the equations of electrodynamics |
|
|
10 | |
|
Lorentz Transformations of the Fields |
|
|
|
The four-potential of a moving charge |
|
|
1 | (1) |
|
The fields of a point charge with a constant velocity |
|
|
2 | (3) |
|
Relativistic transformation of the fields |
|
|
5 | (6) |
|
The equations of motion in relativistic notation |
|
|
11 | |
|
Field Energy and Field Momentum |
|
|
|
|
1 | (1) |
|
Energy conservation and electromagnetism |
|
|
2 | (1) |
|
Energy density and energy flow in the electromagnetic field |
|
|
3 | (3) |
|
The ambiguity of the field energy |
|
|
6 | (1) |
|
|
6 | (3) |
|
|
9 | |
|
|
|
The field energy of a point charge |
|
|
1 | (1) |
|
The field momentum of a moving charge |
|
|
2 | (1) |
|
|
3 | (1) |
|
The force of an electron on itself |
|
|
4 | (2) |
|
Attempts to modify the Maxwell theory |
|
|
6 | (6) |
|
|
12 | |
|
The Motion of Charges in Electric and Magnetic Fields |
|
|
|
Motion in a uniform electric or magnetic field |
|
|
1 | (1) |
|
|
1 | (1) |
|
|
2 | (1) |
|
|
3 | (1) |
|
|
3 | (1) |
|
|
4 | (2) |
|
Alternating-gradient focusing |
|
|
6 | (2) |
|
Motion in crossed electric and magnetic fields |
|
|
8 | |
|
The Internal Geometry of Crystals |
|
|
|
The internal geometry of crystals |
|
|
1 | (1) |
|
Chemical bonds in crystals |
|
|
2 | (1) |
|
|
3 | (1) |
|
|
3 | (1) |
|
Symmetries in two dimensions |
|
|
4 | (3) |
|
Symmetries in three dimensions |
|
|
7 | (1) |
|
|
8 | (1) |
|
Dislocations and crystal growth |
|
|
9 | (1) |
|
The Bragg-Nye crystal model |
|
|
10 | |
|
|
|
The tensor of polarizability |
|
|
1 | (2) |
|
Transforming the tensor components |
|
|
3 | (1) |
|
|
3 | (3) |
|
Other tensors; the tensor of inertia |
|
|
6 | (2) |
|
|
8 | (1) |
|
|
9 | (2) |
|
|
11 | (1) |
|
The four-tensor of electromagnetic momentum |
|
|
12 | |
|
Refractive Index of Dense Materials |
|
|
|
|
1 | (2) |
|
Maxwell's equations in a dielectric |
|
|
3 | (2) |
|
|
5 | (3) |
|
The complex index of refraction |
|
|
8 | (1) |
|
|
8 | (2) |
|
|
10 | (1) |
|
Low-frequency and high-frequency approximations; the skin depth and the plasma frequency |
|
|
11 | |
|
|
|
Reflection and refraction of light |
|
|
1 | (1) |
|
|
2 | (2) |
|
|
4 | (3) |
|
The reflected and transmitted waves |
|
|
7 | (4) |
|
|
11 | (1) |
|
Total internal reflection |
|
|
12 | |
|
|
|
Diamagnetism and paramagnetism |
|
|
1 | (2) |
|
Magnetic moments and angular momentum |
|
|
3 | (1) |
|
The precession of atomic magnets |
|
|
4 | (1) |
|
|
5 | (1) |
|
|
6 | (2) |
|
Classical physics gives neither diamagnetism nor paramagnetism |
|
|
8 | (1) |
|
Angular momentum in quantum mechanics |
|
|
8 | (3) |
|
The magnetic energy of atoms |
|
|
11 | |
|
Paramagnetism and Magnetic Resonance |
|
|
|
Quantized magnetic states |
|
|
1 | (2) |
|
The Stern-Gerlach experiment |
|
|
3 | (1) |
|
The Rabi molecular-beam method |
|
|
4 | (2) |
|
The paramagnetism of bulk materials |
|
|
6 | (3) |
|
Cooling by adiabatic demagnetization |
|
|
9 | (1) |
|
Nuclear magnetic resonance |
|
|
10 | |
|
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|
|
1 | (4) |
|
|
5 | (1) |
|
|
6 | (2) |
|
|
8 | (1) |
|
|
9 | (2) |
|
Spontaneous magnetization |
|
|
11 | |
|
|
|
Understanding ferromagnetism |
|
|
1 | (3) |
|
|
4 | (1) |
|
|
5 | (5) |
|
|
10 | (1) |
|
Extraordinary magnetic materials |
|
|
11 | |
|
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|
|
1 | (1) |
|
|
2 | (3) |
|
The torsion bar; shear waves |
|
|
5 | (4) |
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|
9 | (2) |
|
|
11 | |
|
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|
|
1 | (3) |
|
|
4 | (2) |
|
The motions in an elastic body |
|
|
6 | (2) |
|
|
8 | (2) |
|
Calculating the elastic constants |
|
|
10 | |
|
|
|
|
1 | (1) |
|
|
2 | (4) |
|
Steady flow---Bernoulli's theorem |
|
|
6 | (3) |
|
|
9 | (1) |
|
|
10 | |
|
|
|
|
1 | (3) |
|
|
4 | (1) |
|
|
5 | (2) |
|
Flow past a circular cylinder |
|
|
7 | (2) |
|
The limit of zero viscosity |
|
|
9 | (1) |
|
|
10 | |
|
|
|
Curved spaces with two dimensions |
|
|
1 | (4) |
|
Curvature in three-dimensional space |
|
|
5 | (1) |
|
|
6 | (1) |
|
|
7 | (1) |
|
Gravity and the principle of equivalence |
|
|
8 | (1) |
|
The speed of clocks in a gravitational field |
|
|
9 | (2) |
|
The curvature of space-time |
|
|
11 | (1) |
|
Motion in curved space-time |
|
|
12 | (1) |
|
Einstein's theory of gravitation |
|
|
13 | |
Index |
|