1-1Electrical forces
1-2Electric and magnetic fields
1-3Characteristics of vector fields
1-4The laws of electromagnetism
1-5What are the fields?
1-6Electromagnetism in science and technology





2-1Understanding physics
2-2Scalar and vector fields—T and h
2-3Derivatives of fields—the gradient
2-4The operator ∇
2-5Operations with ∇
2-6The differential equation of heat flow
2-7Second derivatives of vector fields 


3-1Vector integrals; the line integral of ∇ψ
3-2The flux of a vector field
3-3The flux from a cube; Gauss’ theorem
3-4Heat conduction; the diffusion equation
3-5The circulation of a vector field
3-6The circulation around a square; Stokes’ theorem
3-7Curl-free and divergence-free fields

4-2Coulomb’s law; superposition
4-3Electric potential
4-4E = − ∇φ
4-5The flux of E
4-6Gauss’ law; the divergence of E
4-7Field of a sphere of charge
4-8Field lines; equipotential surfaces

5-1Electrostatics is Gauss’ law plus . . .
5-2Equilibrium in an electrostatic field
5-3Equilibrium with conductors
5-4Stability of atoms
5-5The field of a line charge
5-6A sheet of charge; two sheets
5-7A sphere of charge; a spherical shell
5-8Is the field of a point charge exactly 1/r 2?
5-9The fields of a conductor
5-10The field in a cavity of a conductor

6-1Equations of the electrostatic potential
6-2The electric dipole
6-3Remarks on vector equations
6-4The dipole potential as a gradient
6-5The dipole approximation for an arbitrary distribution
6-6The fields of charged conductors
6-7The method of images
6-8A point charge near a conducting plane
6-9A point charge near a conducting sphere
6-10Condensers; parallel plates
6-11High-voltage breakdown
6-12The field-emission microscope

7-1Methods for finding the electrostatic field
7-2Two-dimensional fields; functions of the complex variable
7-3Plasma oscillations
7-4Colloidal particles in an electrolyte
7-5The electrostatic field of a grid




8-1The electrostatic energy of charges. A uniform sphere
8-2The energy of a condenser. Forces on charged conductors
8-3The electrostatic energy of an ionic crystal
8-4Electrostatic energy in nuclei
8-5Energy in the electrostatic field
8-6The energy of a point charge





9-1The electric potential gradient of the atmosphere
9-2Electric currents in the atmosphere
9-3Origin of the atmospheric currents
9-5The mechanism of charge separation

10-1The dielectric constant
10-2The polarization vector P
10-3Polarization charges
10-4The electrostatic equations with dielectrics
10-5Fields and forces with dielectrics

11-1Molecular dipoles
11-2Electronic polarization
11-3Polar molecules; orientation polarization
11-4Electric fields in cavities of a dielectric
11-5The dielectric constant of liquids; the Clausius-Mossotti equation
11-6Solid dielectrics
11-7Ferroelectricity; BaTiO3

12-1The same equations have the same solutions
12-2The flow of heat; a point source near an infinite plane boundary
12-3The stretched membrane
12-4The diffusion of neutrons; a uniform spherical source in a homogeneous medium
12-5Irrotational fluid flow; the flow past a sphere
12-6Illumination; the uniform lighting of a plane
12-7 The “underlying unity” of nature

13-1The magnetic field
13-2Electric current; the conservation of charge
13-3The magnetic force on a current
13-4The magnetic field of steady currents; Ampère’s law
13-5The magnetic field of a straight wire and of a solenoid; atomic currents
13-6The relativity of magnetic and electric fields
13-7The transformation of currents and charges
13-8Superposition; the right-hand rule

14-1The vector potential
14-2The vector potential of known currents
14-3A straight wire
14-4A long solenoid
14-5The field of a small loop; the magnetic dipole
14-6The vector potential of a circuit
14-7The law of Biot and Savart

15-1The forces on a current loop; energy of a dipole
15-2Mechanical and electrical energies
15-3The energy of steady currents
15-4B versus A
15-5The vector potential and quantum mechanics
15-6What is true for statics is false for dynamics

16-1Motors and generators
16-2Transformers and inductances
16-3Forces on induced currents
16-4Electrical technology







17-1The physics of induction
17-2Exceptions to the “flux rule”
17-3Particle acceleration by an induced electric field; the betatron
17-4A paradox
17-5Alternating-current generator
17-6Mutual inductance
17-8Inductance and magnetic energy



18-1Maxwell’s equations
18-2How the new term works
18-3All of classical physics
18-4A travelling field
18-5The speed of light
18-6Solving Maxwell’s equations; the potentials and the wave equation





19-1Waves in free space; plane waves
19-2Three-dimensional waves
19-3Scientific imagination
19-4Spherical waves

20-1Light and electromagnetic waves
20-2Spherical waves from a point source
20-3The general solution of Maxwell’s equations
20-4The fields of an oscillating dipole
20-5The potentials of a moving charge; the general solution of Liénard and Wiechert
20-6The potentials for a charge moving with constant velocity; the Lorentz formula

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