Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/33

  Chapter VIII. Resistance and Conductivity in Three Dimensions.  Art. 297. Equations of resistance

298. Equations of conduction

299. Rate of generation of heat

300. Conditions of stability

301. Equation of continuity in a homogeneous medium

302. Solution of the equation

303. Theory of the coefficient $$T$$. It probably does not exist

304. Generalized form of Thomson's theorem

305. Proof without symbols

306. Strutt's method applied to a wire of variable section.&mdash;Lower limit of the value of the resistance

307. Higher limit

308. Lower limit for the correction for the ends of the wire

309. Higher limit  Chapter IX. Conduction Through Heterogeneous Media. 310. Surface-conditions

311. Spherical surface

312. Spherical shell

313. Spherical shell placed in a field of uniform flow

314. Medium in which small spheres are uniformly disseminated

315. Images in a plane surface

316. Method of inversion not applicable in three dimensions

317. Case of conduction through a stratum bounded by parallel planes

318. Infinite series of images. Application to magnetic induction

319. On stratified conductors. Coefficients of conductivity of a conductor consisting of alternate strata of two different substances

320. If neither of the substances has the rotatory property denoted by $$T$$ the compound conductor is free from it

321. If the substances are isotropic the direction of greatest resistance is normal to the strata

322. Medium containing parallelepipeds of another medium

323. The rotatory property cannot be introduced by means of conducting channels

324. Construction of an artificial solid having given coefficients of longitudinal and transverse conductivity