A Treatise on Electricity and Magnetism, Volume 1Arguably the most influential nineteenth-century scientist for twentieth-century physics, James Clerk Maxwell (1831-1879) demonstrated that electricity, magnetism and light are all manifestations of the same phenomenon: the electromagnetic field. A fellow of Trinity College Cambridge, Maxwell became, in 1871, the first Cavendish Professor of Physics at Cambridge. His famous equations - a set of four partial differential equations that relate the electric and magnetic fields to their sources, charge density and current density - first appeared in fully developed form in his 1873 Treatise on Electricity and Magnetism. This two-volume textbook brought together all the experimental and theoretical advances in the field of electricity and magnetism known at the time, and provided a methodical and graduated introduction to electromagnetism. Volume 1 covers the first elements of Maxwell's electromagnetic theory: electrostatics, and electrokinematics, including detailed analyses of electrolysis, conduction in three dimensions, and conduction through heterogeneous media. |
Contents
Physical continuity and discontinuity | 6 |
Relation between corresponding vectors of the two classes | 13 |
The potential in an acyclic region is single valued | 19 |
on a vector function | 27 |
174 | 43 |
Specific Inductive capacity of a dielectric | 48 |
Brush | 54 |
The motion of electricity analogous to that of an incompressible | 61 |
A circular disk | 279 |
PART II | 288 |
The Galvanometer | 294 |
Equations of resistance | 297 |
Seebecks discovery of thermoelectric currents | 302 |
Faradays law of electrochemical equivalents | 312 |
In a strictly homogeneous medium there can be no internal | 325 |
Selfacting electrometers Thomsons Quadrant Electrometer 271 | 329 |
ELEMENTARY MATHEMATICAL THEORY OF ELECTRICITY | 69 |
Surfaceintegral of electric induction | 75 |
A distribution of electricity on lines or points is physically | 84 |
Energy of an electrified system | 88 |
VOL I | 97 |
CHAPTER IV | 98 |
Comparison of the force between different electrified systems 119 | 104 |
Objections to stress in a fluid considered | 110 |
The equilibrium of an electrified body cannot be stable | 116 |
CHAPTER VII | 142 |
If the potential is constant throughout any finite portion | 144 |
Expression of a ẞ y in terms of elliptic functions | 149 |
SIMPLE CASES OF ELECTRIFICATION | 150 |
CHAPTER IX | 157 |
Nature of the operation 2 | 160 |
The zonal tesseral and sectorial types | 163 |
On conjugate harmonics | 170 |
Faradays use of the conception of lines of force | 174 |
147 | 181 |
surfaces and their limiting forms | 184 |
Development of a function in terms of spherical surface har | 191 |
Distribution of electricity on the surface of the sphere | 198 |
Surfaceintegral of the square of a symmetrical harmonic | 212 |
Thomsons theorem of the unique minimum | 224 |
Geometrical theorems about inversion | 245 |
Voltas law of the contact force between different metals at | 246 |
CHAPTER VII | 338 |
Generation of heat by the current Joules | 345 |
Strutts method applied to a wire of variable section Lower | 355 |
Surfaceconditions | 361 |
Difficulties of applying Ohms law to electrolytes | 368 |
No residual charge due to simple conduction | 376 |
Opinion of Ohm on this subject | 384 |
Reproduction of standards | 390 |
Estimation of limits of error in the determination | 399 |
Matthiessen and Hockins method for small resistances | 406 |
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 | 411 |
Comparison of electromotive forces | 413 |
CHAPTER XII | 415 |
Resistance of metals | 416 |
Resistance of mercury | 417 |
Table of resistance of metals | 418 |
Resistance of electrolytes | 419 |
Experiments of Kohlrausch and Nippoldt | 420 |
Resistance of dielectrics | 421 |
Guttapercha | 423 |
Gases | 424 |
Experiments of Wiedemann and Rühlmann | 425 |
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Common terms and phrases
A₁ angle attraction axes axis called centre charge closed curve closed surface coefficients coefficients of potential conductor constant coordinates cosines cylinder degree denote density dielectric differential direction discharge disk distance distribution of electricity dx dx dx dy dz E₁ E₂ elec electrical forces electrified bodies electrified point electrified surface electrified system electrolyte electromotive force element energy equal and opposite equipotential surfaces expressed Faraday finite fluid force acting given Green's Theorem Hence homogeneous function inductive capacity infinite insulated integral intersection inversion Laplace's equation line of equilibrium line-integral lines of force mathematical measured medium method particles placed plane positive electricity potential zero produce quantity of electricity radius region resin respect resultant force S₁ shewn solid harmonic space sphere spherical harmonics spherical surface suppose surface-density surface-integral theory Thomson tricity unit of electricity unity V₁ vector vessel wire