DeutschesFachbuch.de : Physics of Classical Electromagnetism Von Minoru Fujimoto

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Contents
Prefacexi
1.Steady Electric Currents 1
1.1 Introduction 1
1.2 Standards for Electric Voltages and Current 2
1.3 Ohm Law's and Heat Energy 4
1.4 The Kirchhoff Theorem 8
PART 1. ELECTROSTATICS 13
2.Electrostatic Fields 15
2.1 Static Charges and Their Interactions 15
2.2 A Transient Current and Static Charges 16
2.3 Uniform Electric Field in a Parallel-Plate Condenser 19
2.3.1 The Electric Field Vector 19
2.3.2 The Flux Density Vector 21
2.4 Parallel and Series Connections of Capacitors 25
2.5 Insulating Materials 26
3.The Gauss Theorem 30
3.1 A Spherical Capacitor 30
3.2 A Cylindrical Capacitor 33
3.3 The Gauss Theorem 34
3.4 Boundary Conditions 39
3.4.1 A Conducting Boundary 39
3.4.2 A Dielectric Boundary 40
4.The Laplace-Poisson Equations 43
4.1 The Electrostatic Potential 43
4.2 The Gauss Theorem in Differential Form 44
4.3 Curvilinear Coordinates (1)46
4.4 The Laplace-Poisson Equations 49
4.4.1 Boundary Conditions 49
4.4.2 Uniqueness Theorem 50
4.4.3 Green's Function Method 51
4.5 Simple Examples 53
4.6 The Coulomb Potential 55
4.7 Point Charges and the Superposition Principle 58
4.7.1 An Electric Image 58
4.7.2 Electric Dipole Moment 60
4.7.3 The Dipole-Dipole Interaction 63
5.The Legendre Expansion of Potentials 64
5.1 The Laplace Equation in Spherical Coordinates 64
5.2 Series Expansion of the Coulomb Potential 66
5.3 Legendre's Polynomials 68
5.4 A Conducting Sphere in a Uniform Field 69
5.5 A Dielectric Sphere in a Uniform Field 71
5.6 A Point Charge Near a Grounded Conducting Sphere 72
5.7 A Simple Quadrupole 75
5.8 Associated Legendre Polynomials 76
5.9 Multipole Potentials 79
PART 2. ELECTROMAGNETISM 83
6.The Ampère Law 85
6.1 Introduction 85
6.2 The Ampère Law 86
6.3 A Long Solenoid 89
6.4 Stokes' Theorem 91
6.5 Curvilinear Coordinates (2)94
6.6 The Ampère Law in Differential Form 96
6.7 The Rowland Experiment 98
7.Magnetic Induction 101
7.1 Laws of Magnetic Induction 101
7.1.1 The Faraday Law 101
7.1.2 The Lenz Law 103
7.1.3 Magnetic Field Vectors 103
7.2 Differential Law of Induction and the Dynamic Electric Field 104
7.3 Magnetic Moments 108
8.Scalar and Vector Potentials 112
8.1 Magnets 112
8.2 Pohl's Magnetic Potentiometer 114
8.3 Scalar Potentials of Magnets 116
8.3.1 A Laboratory Magnet 116
8.3.2 A Uniformly Magnetized Sphere 118
8.4 Vector Potentials 119
8.5 Examples of Steady Magnetic Fields 121
8.6 Vector and Scalar Potentials of a Magnetic Moment 126
8.7 Magnetism of a Bohr's Atom 128
9.Inductances and Magnetic Energies 132
9.1 Inductances 132
9.2 Self- and Mutual Inductances 135
9.3 Mutual Interaction Force Between Currents 138
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Index
Aabsolute time, 202
absorption induced, stimulated absorption, 298
alternating current, AC, 1
AC generator, 108-109
AC voltage, current, 145
addition theorem, 77
ammeter, 2
ammonium maser, 300
Ampere
- ampere, A, unit of a current, 4
- Ampere's law, 2, 86
- in differential form, 96
- in integral form, 88
antenna
- dipole antenna, 184
- half-wave antenna, 184, 192
- loop antenna, 193
apparent charges, 27
attenuation
- of a propagating wave, 166-167
- of a conducting current, 217
associated Legendre's function, 76
Bbetatron, 105, 268
Bessel function, 215-216, 276, 314-316
bilinear transformation, 248
Biot-Savart formula, law, 121, 123
Bloch, 290
- Bloch' s equations, 291
- Bloch's relaxation, 290
- nuclear magnetic relaxation, 291
Bohr's atom, 128
Boltzmann's constant, 299
boundary condition between dielectric media, 40
- Dirichlet's condition, 50
- Neumann 's condition, 50
- on a conducting surface, 39, 218
Brewster's angle, 222
broadening, line broadening, 296
- Doppler broadening, 296
- natural broadening, 296
- pressure broadening, 296
Ccadmium cell, 4
Cauchy's theorem, 154, 178, 283
- principal value of a Cauchy's integral, 254, 283
capacitor, condenser, 15-16
- capacitance, 164
- cylindrical condenser, 53
- parallel-plate capacitor, 19
- spherical condenser, 31
- unit of capacity, F, 16
carrier particles, 5
- carrier density, 5
cavity
- cavity resonator, resonant cavity, 251, 253
- klystron cavity, 270-271
- microwave cavity, 251, 287
charge
- apparent charge, 27
- bound charge, 39
- charge density, 23, 42
- electric charge, 2
- free charge, 39
circuit, electric circuit, 4
- Kirchhoff's theorems, 9
circular waveguide, 235
coaxial cable, 238
coherent radiation, 294
- coherent emission, 301
Cole-Cole plot, 285
conductor, 4
- conductance, 174
- conducting material, 4
- conductivity, electric conductivity, 5
continuity
- equation of continuity, 142
- of charge and current, 9
conservation
- of charge and current, 142
conservative field, 21, 43
coupling
- coupling impedance, 248
- iris coupling, 260,
- overcoupling, undercoupling, 265
Coulomb
- Coulomb's law, 19
- Coulomb potential, 32, 53, 56
- coulomb, C, unit of charge, 4
curl
- curl operator, 94
current, electric current, 4
- current density, 5
- eddy current, 108, 214
- displacement current, 144-145
- line current, 121
- ring current, 123
- unit of current, A, 4
curvilinear coordinates, 46, 94
cut-off
- cut-off wavelength, 228
cyclotron motion, 106
Ddamping of oscillating energy, waves, 260, 286
Debye's relaxation, 285
delta function, Kronecker' s delta, 254
diamagnetic susceptibility, 130
dielectrics, dielectric material, 26
dielectric boundary, 40, 221
dielectric constant, 28
dielectric polarization, 27
dielectric relaxation, 283, 285-286
diffraction of electromagnetic waves, 295
dipole
- dipole antenna, 184
- dipole-dipole interaction, 63
- dipolar field, 62
- dipole moment, 62
- dipole potential, 62
- dipole radiation, 184
discontinuity
- in electric field, potential, 50, 219
- in magnetic field, 50, 219
displacement current, 144-145
dispersion relation, 266, 292-293
Dirichlet's boundary condition, 50
div, divergence, 45, 48, 49
dual, 212
dynamic electric field, 105
Eeddy current, 108, 214
eigenfunction, 297
eigenvalue, 297
Einstein
- Einstein's coefficients, 299
- special theory of relativity, 199
electric dipole, 61, 183
- electric field lines, 16
- electric image, 59
- image charge, 59
- electric permittivity, 28
- electric quadrupole, quadrupole moment, 75
- electric resistance, 4
- electric susceptibility, 27
electricity, frictional, 1
electrolysis, 3
electromagnetic field
- electromagnetic energy density, 175
- electromagnetic radiation, 184
electromotive force, emf, 2
electron, 20
- electronic charge, 2
- electronic spin, 2
- electronic admittance, 161
electrostatic field
- electrostatic force, 20
- electrostatic induction, polarization, 22
- electrostatic potential, 21, 43
elliptic integral, 141
emission
- induced, stimulated emission, 298
- spontaneous emission, 296
energy
- electrostatic energy, 24
- electromagnetic energy, 175
- energy density, 175
- magnetic energy, 134
equipotential surface, 23, 44
expansion
- Fourier expansion, 312
- Legendre expansion, 64
FFabry-Perrot interferometer, 295
Faraday
- Faraday's law
- in differential form, 105
- in integral form, 105
- of electrolysis, 3
- of magnetic induction, 101
- Faraday-Lenz' s law, 103
feed-back, feed-back principle, 161
ferroelectric
- ferroelectric domain, 131
- ferroelectric hysteresis, 131
- ferroelectric material, 27
fiber optics, 222 field
- electrostatic field, 21
- electromagnetic field, 172
- dynamic electric field, 105
- field lines, 23
- magnetostatic field, 112, 113 filling facter, 292 flux density
- electric flux density, 23, 35, 45
- flux of field lines, 35
- magnetic flux density, 104
force
- electrostatic force, 20
- Lorentz' force, 106
- magnetic force, 105, 107
Fourier
- Fourier coefficient, 312
- Fourier component, 312
- Fourier expansion, 312
- Fourier series, 312
- Fourier transform, 165, 312 four-dimensional space, 203-204
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