Absolute dielectric constant 1 72 536
Absolute permeability 39 72 536
Absorption current, in liquids 32
Absorption current, non-reversible 32
Absorption current, reversible 32
Ampere's law 39
Amplification factor, measurement in electrolytic trough 192
Amplification factor, of triode, cylindrical 291
Amplification factor, of triode, with grid strips 323
Analytic function 8
Analytic function of complex variable 279—281
Analytic function of complex variable at infinity 309
Analytic function of complex variable in conformal mapping 302
Analytic function of complex variable, continuity of 279
Analytic function of complex variable, differentiability of 279 280
Analytic function of complex variable, integrability of 280
Analytic function of complex variable, series expansion of 307
Analytic function of complex variable, series expansion of, Laurent 308
Analytic function of complex variable, series expansion of, Taylor 307
Analytic function of complex variable, single-valuedness of 279
Analytic function of complex variable, singularity of 308
Analytic function of complex variable, singularity of, essential 309
Annular coordinates 453 454
Aperture, circular 431—434
Aperture, circular, unsymmetrical 434
Associated Legendre functions 479 498 569
Associated Legendre functions as orthogonal system 572 573
Associated Legendre functions, comparative notation 575
Associated Legendre functions, differential equation of 479 480 569
Associated Legendre functions, modified 498 502 505 508 515
Associated Legendre functions, of first kind 479 480 492 569
Associated Legendre functions, of first kind, modified 498 569
Associated Legendre functions, of second kind 479 480 570
Associated Legendre functions, of second kind, modified 498 499 506 570
Associated Legendre functions, relations between 572
Barrier surface 44 78 see magnetostatic"
Barrier surface, for cylindrical coil 214
Barrier surface, for parallel wires 208
Bessel functions 422 429 458 556
Bessel functions, as orthogonal system 429
Bessel functions, comparative notation of 561 562
Bessel functions, differential equation of 556
Bessel functions, differential equation of, general solution of 558
Bessel functions, expansion in 564
Bessel functions, norm of 429
Bessel functions, of first kind 426 458 512 556
Bessel functions, of first kind, series for 556
Bessel functions, of first kind, zeros of 426
Bessel functions, of second kind 458 459 557 558
Bessel functions, of second kind, series for 558
Bessel functions, of third kind 558 559
Bessel functions, relations between 563
Bessel modified functions 421 422 460 511 559
Bessel modified functions, comparative notation of 561 562
Bessel modified functions, differential equation of 559
Bessel modified functions, differential equation of, general solution of 561
Bessel modified functions, of first kind 560
Bessel modified functions, of first kind, series for 560
Bessel modified functions, of second kind 560
Bifilar wires 56
Bilinear transformation 314—318
Biot — Savart law 52 129
Bipolar coordinates 407
Borda mouthpiece 382
Boundary conditions, for dielectric flux density 10
Boundary conditions, for electric current 69
Boundary conditions, for electric field strength 10 69
Boundary conditions, for magnetic flux density 46
Boundary conditions, for magnetic vector potential 51
Boundary conditions, for magnetizing force 47
Boundary value problem, of first kind 9
Boundary value problem, of first kind, in plane 363
Boundary value problem, of mixed kind 9
Boundary value problem, of mixed kind, in plane 367
Boundary value problem, of second kind 7 9
Boundary value problem, of second kind, in plane 367
Boundary value problem, of third kind 76
Breakdown, electric, of gases 27
Breakdown, electric, of liquids 31
Breakdown, electric, of solids 34 35
Breakdown, electric, of vacuum 26
Breakdown, thermal, of solids 34 35
Capacitance 13 72
Capacitance coefficients 15 see partial"
Capacitance coefficients, matrix of 15
Capacitance coefficients, measurement of 16
Capacitance, by inversion 248—253
Capacitance, from curvilinear squares 203
Capacitance, measurement of, by current model 185
Capacitance, measurement of, by electrolytic trough 192
Capacitance, of circular disk 452
Capacitance, of circular ring of charge 127
Capacitance, of circular ring of charge, above ground 129
Capacitance, of condenser, cylindrical 148
Capacitance, of condenser, cylindrical, two dielectrics 150
Capacitance, of condenser, plane 146
Capacitance, of condenser, plane, two dielectrics 146
Capacitance, of condenser, spherical 151
Capacitance, of ellipsoid 450
Capacitance, of ellipsoid, oblate 452 500
Capacitance, of ellipsoid, prolate 108 452 506
Capacitance, of quasi point charge 97
Capacitance, of quasi point charge, between planes 217
Capacitance, of quasi point charge, near sphere, conducting 98 103 104 489
Capacitance, of quasi point charge, near sphere, dielectric 489
Capacitance, of rod, antenna 110
Capacitance, of rod, horizontal, above ground 114
Capacitance, of rod, vertical, above ground 112
Capacitance, of spheres, conducting 232
Capacitance, of spheres, intersecting 250
Capacitance, of spherical bowl 253
Capacitance, of spheroid, oblate 452 500
Capacitance, of spheroid, prolate 108 452 506
Capacitance, per unit length, between cylinders, concentric 148
Capacitance, per unit length, between cylinders, elliptic 320 406
Capacitance, per unit length, between cylinders, parallel 120 121
Capacitance, per unit length, between cylinders, parallel, enclosing each other 121
Capacitance, per unit length, between semicylinders 314
Capacitance, per unit length, between wire, and ground 115 122
Capacitance, per unit length, between wire, and intersecting cylinders 259 313
Capacitance, per unit length, between wire, and intersecting planes 327
Capacitance, per unit length, between wires and ground 125
Capacitance, per unit length, of cable, coaxial 148
Capacitance, per unit length, of cable, two-conductor 225
Capacitance, per unit length, of Maxwell grating 293
Capacitance, per unit length, of plane strip 320 321
Capacitances, direct 14
Capacitances, partial 14
Capacitances, partial, from curvilinear squares 203
Capacitances, partial, measurement of 16 203
Capacitances, stray 13
Cauchy — Riemann equations 280
Cauchy's integral 306
Cauchy's integral theorem 281
Cauchy's integral theorem, use in Fourier integral 396
Center of charges 95—97
Characteristic functions 384
Characteristic numbers 384
Characteristic numbers, by tangent graph 391
Characteristic numbers, continuous spectrum of 393 424
Characteristic numbers, discrete spectrum of 384 423 437 460
Charge density, magnetic, fictitious 54
Charge, electric 1 72 see "Line "Point
Charge, electric, image 215
Charging currents 16
Circular aperture 431—434
Circular aperture, unsymmetrical 434
Circular cylinder coordinates 456 457
Circular disk 452 501
Circular disk, charge density, on 452
| Circular disk, charge density, with uniform 467 490 491
Circular disk, gravitational potential of 491
Circular harmonics 399
Circular ring of charge 125 467 489
Circular ring of charge, above ground 127
Circular ring of charge, potential of 489
Circulation of vector 541
Complete system, in electrostatics 13
Complete system, in magnetostatics 56
Complex potential function 303
Complex potential function, for coplanar planes 335
Complex potential function, for coplanar planes, with finite gap 340 348
Complex potential function, for coplanar strips 355
Complex potential function, for half plane 364 365
Complex potential function, for line charge above ground 326
Complex potential function, for plane strip 340 341
Complex potential function, for semicylinders 314
Complex potential function, for unit circle 363 364
Complex variable 277—278
Complex variable, absolute value of 277
Complex variable, analytic function of 279—281
Complex variable, argument of 278
Complex variable, conjugate complex of 280
Complex variable, modulus of 277
Condenser 13
Condenser bushing 150
Condenser, coaxial cylinder 147
Condenser, concentric sphere 151
Condenser, elliptic cylinder 320 406
Condenser, ideal 13
Condenser, plane 145
Condenser, plane, conformal mapping of 333—338
Condenser, plane, fringing flux in 336
Conductance coefficients, electric 80: 5
Conductance coefficients, hydraulic 80: 18
Conductance coefficients, thermal 80: 13
Conductance, electric 73
Conductance, hydraulic 73
Conductance, thermal 73 75
Conductivity, electric 67
Conductivity, thermal 73 75
Conductor, electrostatic 1 4
Conductors, system of, electrostatic energy of 16 18 19
Conductors, system of, forces in 21 22
Conductors, system of, in electrostatic field 15
Cone functions 495
Conformal mapping, by analytic functions 301 302
Conformal mapping, by analytic functions, linear 310—318
Conformal mapping, by analytic functions, rational 318—321
Conformal mapping, by analytic functions, transcendental 321—323
Conformal mapping, by graphical superposition 324
Conformal mapping, non-conformality of 305—310
Conformal mapping, of condenser, parallel plate 333—338
Conformal mapping, of condenser, with thick plates 351
Conformal mapping, of cylinder grating 377 378
Conformal mapping, of cylinders, elliptic 319—321
Conformal mapping, of cylinders, intersecting circular 312
Conformal mapping, of hydrodynamic problems 379—383
Conformal mapping, of polygons, closed, inside of 329—333
Conformal mapping, of polygons, closed, outside of 360—362
Conformal mapping, of polygons, closed, rules for 332
Conformal mapping, of polygons, with circular arcs 370—379
Conformal mapping, of polygons, with parallel lines 338—343
Conformal mapping, of rectangle 354—355
Conformal mapping, of rounded corners 372—376
Conformal mapping, of slots, opposing 352 353
Conformal mapping, of slots, rectangular 344 347 348—350 356
Conformal mapping, of strip, rectangular 345—351
Conformal mapping, of strips, coplanar 356 357
Conformal mapping, of unit circle, on half plane 315 316
Conformal mapping, of unit circle, on itself 316
Conformal mapping, of vertex, single 325—328
Conformal representation 302 see
Conformal transformation 246 253 302 see
Conformal transformation, by inversion 246—259
Conformal transformation, by inversion, in three dimensions 246
Conformal transformation, by inversion, in two dimensions 256
Conformal transformation, by stereo graphic projection 253
Conjugate functions 281
Conjugate functions, for cylinder, elliptic 298 300
Conjugate functions, for cylinder, in uniform field 287
Conjugate functions, for line charges 285 286
Conjugate functions, for line charges, array of, cylindrical 290
Conjugate functions, for line charges, array of, plane, alternating 296
Conjugate functions, for line charges, array of, plane, dipole 296—298
Conjugate functions, for line charges, array of, plane, uniform 291—295
Conjugate functions, for line charges, dipole 286 288
Conjugate functions, for line charges, pair of 286 288
Conjugate functions, for line current 285 286 288
Conjugate functions, for line current, in uniform field 287
Conjugate functions, for line current, pair 286
Conjugate functions, for Maxwell grating 292
Conjugate functions, for planes, coplanar 288 290
Conjugate functions, for source line 285 286
Conjugate functions, for unicursal curves 299 300
Conjugate functions, for uniform field 286 288
Conjugate functions, for vortex line 285 286 288
Conservative electrostatic field 3
Continuity, equation, hydraulic 77
Continuity, of electric current 69
Coordinates, annular 453 454
Coordinates, bipolar 407
Coordinates, cartesian, plane 387
Coordinates, cartesian, three-dimensional 435
Coordinates, confocal spheroidal 474 475
Coordinates, cylinder, circular 456 457
Coordinates, cylinder, elliptic, three-dimensional 431 432 468 469
Coordinates, cylinder, elliptic, two-dimensional 404 405
Coordinates, cylinder, general 454 455
Coordinates, cylinder, parabolic, three-dimensional 472 473
Coordinates, cylinder, parabolic, two-dimensional 407
Coordinates, dipolar 495 496
Coordinates, orthogonal, general 440—442
Coordinates, paraboloidal 510 511
Coordinates, polar 399
Coordinates, spherical 420 477—479
Coordinates, spheroidal, oblate 496 497
Coordinates, spheroidal, oblate, inverse to 503
Coordinates, spheroidal, prolate 504 505
Coordinates, spheroidal, prolate, inverse to 509
Coordinates, toroidal 513 514
Coulomb's law 1
Coulomb's law, for "magnetic poles" 63: 4
Critical field strength of air 30
Critical field strength of air, for breakdown 30
Critical field strength of air, for corona 30
Cross product of vectors 540
Curl 541
Curl, in cylindrical coordinates 545
Curl, in orthogonal coordinates 443
Curl, in spherical coordinates 545
Current density 46 66 73
Current density, equivalent, for magnetization 55
Current density, in cylinder, finite 462 464
Current density, in sphere 483 484
Current density, sheet 46
Current density, sheet, equivalent 55
Current filament 51
Current filament, helical 161
current loop 56 144
Current loop, circular 140 492
Current loop, rectangular 131
Current loops, system of 60
Current loops, system of, magnetic energy of 60 61
Current sheet 46
Current sheet, model 183—187
Current, electric 66 73 see "Quasi
Curvilinear coordinates 440 545 see
Curvilinear squares, in electric fields 201
Curvilinear squares, in magnetic fields 209
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