INDEX. 



567 



Current, displacement, 506 



,, element of, force due to, 422 



,, equivalent to magnetic shell, 412 



,, extra, 471 



,, force due to straight, 420 



,, forces on conductor carrying, 



426 



,, induced, 471 

 ,, linear, force due to, 421 

 magnetic energy of field of, 436 

 magnetic force due to, 409, 436 

 ,, potential due to, 410 

 ,, potential due to circular, 418 



total, 407, 508 



virtual and effective, 479 

 Current-sheets, cylindrical, 349, 454 



, , magnetic field due to, 449 



Currents, circular, 456 



,, as cyclic systems, 439, 467 



,, energy of, 428 



,, and magnets, mutual energy 



of, 444 



,, non-linear, 432 

 ,, in parallel cylinders, 457 

 ,, in three dimensions, 432 

 Curvilinear coordinates, Green's Theorem 



in, 171 



Cyclic coordinates, 128 

 forces, 128 

 ,, momenta, 133 

 ,, motions, 128 

 ,, system, electrostatic analogy of, 



271 

 ,, systems of currents as, 



439, 467 



systems, 132, 134 

 velocities, 128 



Cylinder, elliptic, polarization of, 373 



Cylinder, hollow, magnetization of, 375 



potential of, 158, 175 



Cylinders, eccentric, distribution on, 311 



,, electrification of concentric, 



278 



elliptic and hyperbolic, distri- 

 bution on, 315 

 ,, parallel non-linear currents 



in, 457 



Cylindrical condenser, capacity of, 279 

 ,, current-sheet, 454 



Damped oscillation, 486 



Damping factor, 487 

 Darboux, 193 



Decrement, logarithmic, 487 

 Definite integrals, 36 

 Demagnetizing factor, 375 

 Density, 74 



,, definition of, 144 

 ,, magnetic, 352 

 ,, surface, 159 

 Derivative, 17 



,, in direction, 22 

 partial, 19 



,, of potential function, 146 

 Derived units, 98 



Development in circular harmonics, 181 

 in spherical harmonics, 191 



,, of potential of polarized 



body in spherical har- 

 monics, 240 



of reciprocal distance in 



spherical harmonics, 189 

 Diagrams of lines of force, 201 

 Dicyclic systems, 139 

 Dielectric, 245 



,, conducting, 398 

 ,, constant, 357 

 of slab, 365 



Dielectrics, condenser with two, 402 

 Differential, perfect, 58 

 Differential equations of motion, 97 



,, parameter, 21, 64 



Differentiation of definite integral, 44 

 Dimensions, of e, 418 



,, of electrical units, 251, 414 



of /*, 367 



table of, 558 



of units, 98 



Dirichlet, 12, 169, 183, 193, 212, 259 

 principle of, 169, 171 

 , , problem of, 169 



for circle, 180 

 for sphere, 186 

 Disc, potential of, 157 



in zonal harmonics, 193 



,, repulsion of, 160 

 Discontinuity, 17 



of derivative of potential, 



162 



of potential of shell, 238 



Displacement, current, 408, 506 

 electrical, 408 



