A Treatise on Electricity and Magnetism, Volume 1

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Clarendon Press, 1873 - 444 páginas
 

Conteúdo

Relation between corresponding vectors of the two classes
11
Longitudinal and rotational vectors 16 Lineintegrals and potentials 17 Hamiltons expression for the relation between a force and its potential
15
Cyclic regions and geometry of position
16
The potential in an acyclic region is single valued
17
System of values of the potential in a cyclic region
18
Surfaceintegrals
19
Surfaces tubes and lines of flow
22
Righthanded and lefthanded relations in space
24
Transformation of a lineintegral into a surfaceintegral
25
Effect of Hamiltons operation on a vector function
27
Nature of the operation v²
29
Theory of Two fluids
38
Electric field
44
Capacity of a conductor
50
Electrical phenomena of Tourmaline
56
Peculiarities of the theory of this treatise
62
Volumedensity surfacedensity and linedensity
69
Surfaceintegral of electric induction
77
The electrification of a conductor is entirely on the surface
84
SYSTEMS OF CONDUCTORS
88
VOL I
97
Conditions under which the volumeintegral
101
Comparison of the force between different electrified systems 119
104
Thomsons theorem of the unique minimum
109
Objections to stress in a fluid considered
110
If the potential is constant throughout any finite portion
111
Greens theorem and its physical interpretation
126
Greens functions
136
Angles at which an equipotential surface intersects itself
139
Application to spherical and nearly spherical conductors
146
Two electrified points ratio
149
CHAPTER VIII
150
CHAPTER IX
157
Solid harmonics of positive degree Their relation to those
166
The characteristic equation of in terms of ellipsoidal
175
ordinates
182
where Y is the value of Y at the pole of
186
Transformation into a figure of revolution about the axis of a
188
Art Page 194 Application to two cases of the flow of electricity in a con
194
Image of any given distribution of electricity
198
Case of two spherical surfaces intersecting at an angle
204
Case of three spheres intersecting orthogonally
210
170
211
Voltas law of the contact force between different metals at
216
Calculation of the coefficients of capacity and induction
218
Electric inversion
222
CHAPTER XII
226
Additional theorems on conjugate functions
232
Geometrical theorems about inversion
236
The grating used as a shield to protect a body from electrical influence 219
250
Method of approximation applied to the case of the grating
251
CHAPTER XIII
254
The electrophorus of Volta
255
Production of electrification by mechanical work Nicholsons Revolving Doubler
256
Thomsons waterdropping machine
259
Holtzs electrical machine
260
On electrometers and electroscopes Indicating instruments and null methods Difference between registration and mea surement
262
Coulombs Torsion Balance for measuring charges
263
Electrometers for measuring potentials Snow Harriss and Thomsons
266
Principle of the guardring Thomsons Absolute Electrometer
267
Dissipation of the ions and loss of polarization
269
Heterostatic method
271
Measurement of the electric potential of a small body
274
Measurement of the potential at a point in the air
275
A circular disk
279
Comparison of the capacities of accumulators
285
Distribution of electricity near the edge of a conductor formed
291
Equations of resistance
297
Peltiers phenomenon
301
CHAPTER IV
307
Secondary actions observed at the electrodes
315
Ritters secondary pile compared with the Leyden
322
In a strictly homogeneous medium there can be no internal
325
CHAPTER VI
329
Reciprocal property of any two conductors of the system
335
Currentsheets and currentfunctions
342
Generation of heat by the current Joules
344
Conditions of stability
347
CHAPTER IX
360
Method of inversion not applicable in three dimensions
367
Difficulties of applying Ohms law to electrolytes
368
Construction of an artificial solid having given coefficients
373
Reproduction of standards
390
Estimation of limits of error in the determination
399
Thomsons method for small resistances
405
Art Page 353 Comparison of great resistances by the electrometer
408
By accumulation in a condenser
409
Thomsons method for the resistance of a galvanometer
410
Mances method of determining the resistance of a battery 111
413
CHAPTER XII
415
Resistance of metals
416
Resistance of mercury 117
417
Table of resistance of metals
418
Resistance of electrolytes 119
419
Experiments of Kohlrausch and Nippoldt
420
Resistance of dielectrics 121
421
Guttapercha
423
Glass 123
424

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