chapter 1. electromagnetism .
1-1 electrical forces 1-1
1-2 electric and magnetic felds 1-3
1-3 characteristics of vector fields 1-4
1-4 the laws of electromagnetism i-5
i-5 what are the fields? 1-9
1-6 electromagnetism in science and technology 1-10
chapter 2. differential calculus of vector fields
2-1 understanding physics 2-1
2-2 scalar and vector fields—t and h 2-2
2-3 derivatives of fields—the gradient 2-4
2-4 the operator v 2-6
2-5 operations with v 2-7
2-6 the differential equation of heat flow 2-8
2-7 second derivatives of vector fields 2-9
2-8 pitfalls 2-11
chapter 3. vector integral calculus
3-1 vector integrals; the line integral of v,it 3-1
3-2 the flux of a vector field 3-2
3-3 the flux from a cube; gauss' theorem 3-4
.3-4 heat conduction; the diffusion equation 3-6
3-5 the circulation of a vector field 3-8
3-6 the circulation around a square;
stokes' theorem 3-9
3-7 curl-free and divergence-free fields 3-10
3-8 summary 3-11
chapter 4. electrostatics
4-1 statics 4—1
4-2 coulomb's law; superposition 4-2
4-3 electric potential 4-4
4-4 e=- φ 4-6
4-5 the flux of e 4-7
4-6 gauss' law; divergence of e 4-9
4-7 field of a sphere of charge 4-10
4-8 field lines; equipotential surfaces 4-1l
chapter 5. application of gauss' law
5-1 electrostatics is gauss's law plus . . . 5-1
5-2 equilibrium in an electrostatic field 5-1
5-3 equilibrium with conductors 5-2
5-4 stability of atoms 5-3
5-5 the field of a line charge 5-3
5-6 a sheet of charge; two sheets 5-4
5-7 a sphere of charge; a spherical shell 5-4
5-8 is the field of a point charge exactly 1/r2？ 5-5
5-9 the fields of a conductor 5-7
5-10 the field in a cavity of a conductor 5-8
chapter 6. the electric field in various
circumstances
6-1 equations of the electrostatic potential 6-1
6-2 the electric dipole 6-2
6-3 remarks on vector equations 6-4
6-4 the dipole potential as a gradient 6-4
6-5 the dipole approximation for an arbitrary
distribution 6-6
6-6 the fields of charged conductors 6-8
6-7 the method of images 6-8
6-8 a point charge near a conducting plane 6-9
6-9 a point charge near a conducting sphere 6-10
6-10 condensers; parallel plates 6-11
6-11 high-voltage breakdown 6-13
6-12 the field-emission microscope 6-14
chapter 7. the electric field in various
circumstances (continued)
7-1 methods for finding the electrostatic field 7-1
7-2 two-dimensional fields; functions of the complex
variable 7-2
7-3 plasma oscillations 7-5
7—4 colloidal particles in an electrolyte 7-8
7-5 the electrostatic field of a grid 7-10
chapter 8. electrostatic energy
8-1 the electrostatic energy of charges. a uniform
sphere 8-t
8-2 the energy of a condenser. forces on charged
conductors 8-2
8-3 the electrostatic energy of an ionic crystal 8-4
8-4 electrostatic energy in nuclei 8-6
8-5 energy in the electrostatic field 8-9
8-6 the energy of a point charge 8-12
chapter 9. electricity in the atmosphere
9-1 the electric potential gradient of the
atmosphere 9-1
9-2 electric currents in the atmosphere 9-2
9-3 origin of the atmospheric currents 9-4
9-4 thunderstorms 9-5
9-5 the mechanism of charge separation 9-7
9-6 lightning 9-10
chapter 10. dielectrics
10-1 the dielectric constant 10-1
10—2 the polarization vector p 10-2
10-3 polarization charges 10-3
10-4 the electrostatic equations with dielectrics 10-6
10-5 fields and forces with dielectrics 10-7
chapter 11. inside dielectrics
11-1 molecular dipoles 11-1
11-2 electronic polarization 11-1
11-3 polar molecules; orientation polarization 11-3
11-4 electric fields in cavities of a dielectric 11-5
11-5 the dielectric constant of liquids; the clausius-
mossotti equation 11-6
11-6 solid dielectrics 11-8
11-7 ferroelectricity; batioa 11-8
chapter 12. electrostatic analogs
12-1 the same equations have the same solutions 12-1
12-2 the flow of heat; a point source near an infinite
plane boundary 12-2
12-3 the stretched membrane 12-5
12-4 the diffusion of neutrons; a uniform spherical
source in a homogeneous medium 12-6
12-5 irrotational fluid flow; the flow past a sphere 12-8
12-6 illumination; the uniform lighting of a plane 12-10
12-7 the "underlying unity" of nature 12-12
chapter 13. magnetostatics
13-1 the magnetic field 13-1
13-2 electric current; the conservation of charge 13-1
13-3 the magnetic force on a current 13-2
13-4 the magnetic field of steady currents;
ampere's law 13-3
13-5 the magnetic field of a straight wire and of a
solenoid; atomic currents 13-5
13-6 the relativity of magnetic and electric fields 13-6
13-7 the transformation of currents and charges 13-11
13-8 superposition; the right-hand rule 13-11
chapter 14. the magnetic field in various
situations
14-1 the vector potential 14-1
14-2 the vector potential of known currents 14-3
14-3 a straight wire 14-4
14-4 a long solenoid 14-5
14-5 the field of a small loop; the magnetic dipole 14-7
14-6 the vector potential of a circuit 14-8
14-7 the law of blot and savart 14-9
chapter 15. the vector potential
15-1 the forces on a current loop; energy of
a dipole 15-1
15-2 mechanical and electrical energies 15-3
15-3 the energy of steady currents 15-6
15-4 b versus a 15-7
15-5 the vector potential and quantum mechanics 15-8
15-6 what is true for statics is false for dynamics 15-14
chapter 16. induced currents
16-1 motors and generators 16-1
16-2 transformers and inductances 16-4
16-3 forces on induced currents 16-5
16-4 electrical technology 16-8
chapter 17. the laws of induction
17-1 the physics of induction 17-1
17-2 exceptions to the "flux rule" 17-2
17-3 particle acceleration by an induced electric field;
the betatron 17-3
17-4 a paradox 17-5
17-5 alternating-current generator 17-6
17-6 mutual inductance 17-9
17-7 self-inductance 17-11
17-8 inductance and magnetic energy 17-12
chapter 18. the maxwell equations
18-1 maxwell's equations 18-1
18-2 how the new term works 18-3
18-3 all of classical physics 18-5
18-4 a travelling field 18-5
18-5 the speed of light 18-8
18-6 solving maxwell's equations; the potentials and the
wave equation 18-9
chapter 19. the principle of least action
a special lecture—almost verbatim 19-1
a note added after the lecture 19-14
chapter 20. solutions of maxwell's equations
in free space
20-1 waves in free space; plane waves 20-1
20-2 three-dimensional waves 20-8
20-3 scientific imagination 20-9
20-4 spherical waves 20—12
chapter 21. solutions of maxwell's equations ..
with currents and charges
21-1 light and electromagnetic waves 21-1
21-2 spherical waves from a point source 21-2
21-3 the general solution of maxwell's equations 21-4
21-4 the fields of an oscillating dipole 21-5
21-5 the potentials of a moving charge; the general
solution of lienard and wiechert 21-9
21-6 the potentials for a charge moving with constant
velocity; the lorentz formula 21-12
chapter 22. ac circuits
22-1 impedances 22-1
22-2 generators 22-5
22-3 networks of ideal elements; kirchhoff's rules 22-7
22-4 equivalent circuits 22-10
22-5 energy 22-11
22-6 a ladder network 22-12
22-7 filters 22-14
22-8 other circuit elements 22-16
chapter 23. cavity resonators
23-1 real circuit elements 23-1
23-2 a capacitor at high frequencies 23-2
23-3 a resonant cavity 23-6
23-4 cavity modes 23-9
23-5 cavities and resonant circuits 23-10
chapter 24. waveguides
24-1 the transmission line 24-1
24-2 the rectangular waveguide 24-4
24-3 the cutoff frequency 24-6
24-4 the speed of the guided waves 24-7
24-5 observing guided waves 24-7
24-6 waveguide plumbing 24-8
24-7 waveguide modes 24-10
24-8 another way of looking at the guided waves 24-10
chapter 25. electrodynamics in relativistic
notation
25-1 four-vectors 25-1
25-2 the scalar product 25-3
25-3 the four-dimensional gradient 25-6
25-4 electrodynamics in four-dimensional notation 25-8
25-5 the four-potential of a moving charge 25-9
25-6 the invariance of the equations of
electrodynamics 25-10
chapter 26. lorentz transformations of the fields
26-1 the four-potential of a moving charge 26-1
26-2 the fields of a point charge with a constant
velocity 26-2
26-3 relativistic transformation of the fields 26-5
26-4 the equations of motion in relativistic
notation 26-11
chapter 27. field energy and field momentum
27-1 local conservation 27-1
27-2 energy conservation and electromagnetism 27-2
27-3 energy density and energy flow in the
electromagnetic field 27-3
27-4 the ambiguity of the field energy 27-6
27-5 examples of energy flow 27-6
27-6 field momentum 27-9
chapter 28. electromagnetic mass
28-1 the field energy of a point charge 28-1
28-2 the field momentum of a moving charge 28-2
28-3 electromagnetic moss 28-3
28-4 the force of an electron on itself 28-4
28-5 attempts to modify the maxwell theory 28-6
28-6 the nuclear force field 28-12
chapter 29. the motion of charges in electric
and magnetic fields
29-1 motion in a uniform electric or magnetic field 29-1
29-2 momentum analysis 29-1
29-3 an electrostatic lens 29-2
29-4 a magnetic lens 29-3
29-5 the electron microscope 29-3
29-6 accelerator guide fields 29-4
29-7 alternating-gradient focusing 29-6
29-8 motion in crossed electric and magnetic fields 29-8
chapter 30. the internal geometry of crystals
30-1 the internal geometry of crystals 30-1
30-2 chemical bonds in crystals 30-2
30-3 the growth of crystals 30-3
30-4 crystal lattices 30-3
30-5 symmetries in two dimensions 30-4
30-6 symmetries in three dimensions 30-7
30-7 the strength of metals 30-8
30-8 dislocations and crystal growth 30-9
30-9 the bragg-nye crystal model 30-10
chapter 31. tensors
31-1 the tensor of polarizability 31-1
31-2 transforming the tensor components 31-3
31-3 the energy ellipsoid 3 i-3
31-4 other tensors; the tensor of inertia 31-6
31-5 the cross product 31-8
31-6 the tensor of stress 31-9
31-7 tensors of higher rank 31-11
31-8 the four-tensor of electromagnetic
momentum 31-12
chapter 32. refractive index of dense materials
32-1 polarization of matter 32-1
32-2 maxwell's equations in a dielectric 32-3
32-3 waves in a dielectric 32-5
32-4 the complex index of refraction 32-8
32-5 the index of a mixture 32-8
32-6 waves in metals 32-10
32-7 low-frequency and high-frequency approximations;
the skin depth and the plasma frequency 32-11
chapter 33. reflection from surfaces
33-1 reflection and refraction of light 33-1
33-2 waves in dense materials 33-2
33-3 the boundary conditions 33-4
33-4 the reflected and transmitted waves 33-7
33-5 reflection from metals 33-11
33-6 total internal reflection 33-12
chapter 34. the magnetism of matter
34-1 diamagnetism and paramagnetism 34-1
34-2 magnetic moments and angular momentum 34-3
34-3 the precession of atomic magnets 34-4
34-4 diamagnetism 34-5
34-5 larmor's theorem 34-6
34-6 classical physics gives neither diamagnetism nor
paramagnetism 34-8
34-7 angular momentum in quantum mechanics 34-8
34-8 the magnetic energy of atoms 34-11
chapter 35. paramagnetism and magnetic resonance
35-1 quantized magnetic states 35-1
35-2 the stern-gerlach experiment 35-3
35-3 the rabi molecular-beam method 35-4
35-4 the paramagnetism of bulk materials 35-6
35-5 cooling by adiabatic demagnetization 35-9
35-6 nuclear magnetic resonance 35-10
chapter 36. ferromagnetism
36-1 magnetization currents 36-1
36-2 the field h'36-5
36-3 the magnetization curve 36-6
36-4 iron-core inductances 36-8
36-5 electromagnets 36-9
36-6 spontaneous magnetization 36-11
chapter 37. magnetic materials
37-1 understanding ferromagnetism 37-1
37-2 thermodynamic properties 37-4
37-3 the hysteresis curve 37-5
37-4 ferromagnetic materials 37-10
37-5 extraordinary magnetic materials 37-11
chapter 38. elasticity
38-1 hooke's law 38-1
38-2 uniform strains 38-2
38-3 the torsion bar; shear waves 38-5
38-4 the bent beam 38-9
38-5 buckling 38-i1
chapter 39. elastic materials
39-1 the tensor of strain 39-1
39-2 the tensor of elasticity 39-4
39-3 the motions in an elastic body 39-6
39-4 nonelastic behavior 39-8
39-5 calculating the elastic constants 39-10
chapter 40. the flow of dry water
40-1 hydrostatics 40-1
40-2 the equations of motion 40-2
40-3 steady fiow—bernoulli's theorem 40-6
40-4 circulation 40-9
40-5 vortex lines 40-10
chapter 41. the flow of wet water
41-1 viscosity 41-1
41-2 viscous flow 41-4
41-3 the reynolds number 41-5
4l-4 flow past a circular cylinder 41-7
41-5 the limit of zero viscosity 41-9
41-6 couette flow 41-10
chapter 42. curven space
42-1 curved spaces with two dimensions 42-1
42-2 curvature in three-dimensional space 42-5
42-3 our space is curved 42-6
42-4 geometry in space-time 42-7
42-5 gravity and the principle of equivalence 42-8
42-6 the speed of clocks in a gravitational field 42-9
42-7 the curvature of space-time 42-11
42-8 motion in curved space-time 42-12
42-9 einstein's theory of gravitation 42-13