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

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CONTENTS.
xxvii
Resistance and Conductivity in Three Dimensions.
Art.
Page
297. Equations of resistance
345
298. Equations of conduction
346
299. Rate of generation of heat
346
300. Conditions of stability
347
301. Equation of continuity in a homogeneous medium
348
302. Solution of the equation
348
303. Theory of the coefficient . It probably does not exist
349
304. Generalized form of Thomson's theorem
350
305. Proof without symbols
351
306. Strutt's method applied to a wire of variable section.—Lower limit of the value of the resistance
353
307. Higher limit
356
308. Lower limit for the correction for the ends of the wire
358
309. Higher limit
358
Conduction Through Heterogeneous Media.
310. Surface-conditions
360
311. Spherical surface
362
312. Spherical shell
363
313. Spherical shell placed in a field of uniform flow
364
314. Medium in which small spheres are uniformly disseminated
365
315. Images in a plane surface
366
316. Method of inversion not applicable in three dimensions
367
317. Case of conduction through a stratum bounded by parallel planes
367
318. Infinite series of images. Application to magnetic induction
368
319. On stratified conductors. Coefficients of conductivity of a conductor consisting of alternate strata of two different substances
369
320. If neither of the substances has the rotatory property denoted by the compound conductor is free from it
370
321. If the substances are isotropic the direction of greatest resistance is normal to the strata
371
322. Medium containing parallelepipeds of another medium
371
323. The rotatory property cannot be introduced by means of conducting channels
372
324. Construction of an artificial solid having given coefficients of longitudinal and transverse conductivity
373