## A Treatise on Electricity and Magnetism, Volume 0"Maxwell is without a peer … this printing is an opportunity to become thoroughly acquainted with the thought of the greatest of our electrical scientists." — |

### What people are saying - Write a review

### Contents

371 | 1 |

381 | 7 |

Investigation of the action of one magnetic particle on another | 15 |

396 | 23 |

405 | 29 |

Another method of proof | 35 |

386 | 37 |

Theory of the vectorpotential of a closed curve | 43 |

Relation between the electromotive force and the tota current | 322 |

Geometrical mean distance of two figures in a plane | 324 |

Particular cases | 326 |

Application of the method to a coil of insulated wires | 328 |

CHAPTER II | 331 |

Solid angle subtended by a circle at any point | 333 |

Potential energy of two circular currents | 334 |

Moment of the couple acting between two coils | 335 |

Magnetic induction in different substances | 49 |

Case of a body surrounded by a magnetic medium | 55 |

CHAPTER | 59 |

Case when k is large | 61 |

Art Page 436 The nine coefficients reduced to six Fig XVI | 64 |

Theory of an ellipsoid acted on by a uniform magnetic force | 66 |

Cases of very flat and of very long ellipsoids | 68 |

Statement of problems solved by Neumann Kirchhoff and Green | 72 |

Method of approximation to a solution of the general problem when x is very small Magnetic bodies tend towards places of most intense magnetic fo... | 73 |

On ships magnetism | 74 |

webERs THEoRY of INDUCED MAGNETISM 442 Experiments indicating a maximum of magnetization | 79 |

Webers mathematical theory of temporary magnetization | 81 |

Modification of the theory to account for residual magnetization | 85 |

Explanation of phenomena by the modified theory | 87 |

Magnetization demagnetization and remagnetization | 90 |

Effects of magnetization on the dimensions of the magnet | 93 |

CHAPTER VII | 95 |

Methods of observation by mirror and scale Photographic method | 96 |

Principle of collimation employed in the Kew magnetometer | 101 |

Measurement of the moment of a magnet and of the intensity of the horizontal component of magnetic force | 104 |

Observations of deflexion | 108 |

Method of tangents and method of sines | 109 |

Observation of vibrations | 110 |

Elimination of the effects of magnetic induction | 112 |

Statical method of measuring the horizontal force | 114 |

Bifilar suspension | 115 |

System of observations in an observatory | 119 |

Observation of the dipcircle | 120 |

Art Page | 123 |

on TERRESTRIAL MAGNETISM | 129 |

The solar and lunar variations | 135 |

482 | 141 |

490 | 148 |

498 | 155 |

CHAPTER II | 158 |

Art Page | 159 |

Kinematical analysis of the phenomena 454 | 163 |

Determination of the form of the functions by Ampères fourth | 172 |

Thomsons application of the same principle | 191 |

An electric current has energy which may be called electro | 197 |

oN THE EQUATIONs of MoTION of A connecTED systEM Art Page 553 Lagranges method furnishes appropriate ideas for the study of the higher ... | 199 |

Degrees of freedom of a connected system | 200 |

Generalized meaning of velocity | 201 |

Work done by a small impulse | 203 |

Hamiltons equations of motion | 205 |

Kinetic energy in terms of the velocities and momenta Tri | 206 |

Relations between T and Tº p and j | 207 |

Moments and products of inertia and mobility | 208 |

Necessary conditions which these coefficients must satisfy | 209 |

CHAPTER WI DYNAMICAL THEORY OF ELECTRoMAGNETISM 568 The electric current possesses energy | 211 |

Work done by electromotive force | 212 |

The most general expression for the kinetic energy of a system including electric currents | 213 |

The electrical variables do not appear in this expression | 214 |

Mechanical force acting on a conductor | 215 |

The part depending on products of ordinary velocities and strengths of currents does not exist | 216 |

Another experimental test | 218 |

Discussion of the electromotive force | 221 |

Theory of ELECTRIC CIRCUITS art Page 578 The electrokinetic energy of a system of linear circuits | 223 |

Electromotive force in each circuit | 224 |

Electromagnetic force | 225 |

Case of two circuits | 226 |

Mechanical action between the circuits | 227 |

All the phenomena of the mutual action of two circuits depend on a single quantity the potential of the two circuits | 228 |

Exploration of The FIELD BY MEANS OF THE secondary circuit 585 The electrokinetic momentum of the secondary circuit | 229 |

Expressed as a lineintegral | 230 |

A crooked portion of a circuit equivalent to a straight portion | 231 |

Electrokinetic momentum at a point expressed as a vector ? | 232 |

Its relation to the magnetic induction B Equations A | 233 |

Justification of these names | 234 |

Theory of a sliding piece | 235 |

Electromotive force due to the motion of a conductor | 236 |

Electromagnetic force on the sliding piece | 237 |

General equations of electromotive force B | 238 |

Analysis of the electromotive force | 240 |

The general equations referred to moving axes | 241 |

Electromagnetic force on a conductor | 243 |

Electromagnetic force on an element of a conducting body Equations C | 244 |

CHAPTER IX | 247 |

Equations of magnetization D | 249 |

Equations of electric currents E | 250 |

Equations of electric displacement F | 252 |

Equations of electric conductivity G | 253 |

Volumedensity of free electricity J | 254 |

Electric currents in terms of electrokinetic momentum | 255 |

Vectorpotential of electric currents | 256 |

Quaternion expressions for electromagnetic quantities | 257 |

Quaternion equations of the electromagnetic field | 258 |

Appendix to Chapter IX | 259 |

CHAPTER X | 263 |

Fifteen relations among these quantities | 264 |

Dimensions in terms of e and m | 265 |

Reciprocal properties of the two systems | 266 |

Dimensions of the twelve quantities in the two systems | 267 |

Practical system of electric units Table of practical units | 268 |

Magnetic energy in terms of magnetization and magnetic | 271 |

MAGNETIC Force AND MAGNETIC INDUCTION | 273 |

Electromagnetic force due to an electric current passing | 277 |

Numerical value of magnetic tension | 283 |

Application to any magnet | 284 |

CHAPTER XII | 286 |

Electric potential | 287 |

Magnetic action of a currentsheet with closed currents | 288 |

Magnetic potential due to a currentsheet | 289 |

Lineintegral of magnetic force or magnetic potential | 290 |

Theory of a plane currentsheet | 291 |

Action of a variable magnetic system on the sheet | 293 |

When there is no external action the currents decay and their magnetic action diminishes as if the sheet had moved off with constant velocity R | 295 |

This image moves away from its original position with velo city R | 296 |

Mathematical expression for the effect of the induced currents | 297 |

Walue of the force acting on the magnetic pole | 298 |

666 Case of curvilinear motion | 299 |

Theory of Aragos rotating disk | 300 |

26 | 303 |

Spherical currentsheets | 304 |

The vectorpotential | 305 |

To produce a field of constant magnetic force within a spherical shell | 306 |

Currents parallel to a plane | 307 |

A plane electric circuit A spherical shell An ellipsoidal shell | 308 |

A solenoid | 309 |

A long solenoid | 310 |

A pair of induction coils | 311 |

28 | 312 |

An endless solenoid | 313 |

CHAPTER XIII | 315 |

The external magnetic action of a cylindric wire depends only on the whole current through it | 316 |

The vectorpotential | 317 |

Repulsion between the direct and the return current | 318 |

Selfinduction of a wire doubled on itself | 320 |

The motion of the axes changes nothing but the apparent value of the electric potential 243 | 321 |

Values of P | 336 |

Calculation of the coefficients for a coil of finite section | 337 |

Potential of two parallel circles expressed by elliptic integrals | 338 |

Art Page 702 Lines of force round a circular current Fig XVIII | 340 |

Differential equation of the potential of two circles | 341 |

Approximation when the circles are very near one another | 342 |

Further approximation | 343 |

Coil of maximum selfinduction | 345 |

Appendix I | 347 |

387 | 349 |

CHAPTER XV | 351 |

Construction of a standard coil | 352 |

Mathematical theory of the galvanometer z | 353 |

Principle of the tangent galvanometer and the sine galvano meter | 354 |

Gaugains eccentric suspension | 356 |

Galvanometer with four coils | 357 |

Galvanometer with three coils | 358 |

Proper thickness of the wire of a galvanometer | 359 |

Sensitive galvanometers | 360 |

Law of thickness of the wire | 361 |

Galvanometer with wire of uniform thickness | 364 |

Thomsons sensitive coil | 365 |

Determination of magnetic force by means of suspended coil and tangent galvanometer | 366 |

Webers electrodynamometer | 367 |

Joules currentweigher 3 71 | 371 |

Suction of solenoids 37 2 | 373 |

CHAPTER XVI | 374 |

Motion in a logarithmic spiral | 375 |

Rectilinear oscillations in a resisting medium | 376 |

Walues of successive elongations | 377 |

Determination of the logarithmic decrement | 378 |

Determination of the time of vibration from three transits | 379 |

Two series of observations | 380 |

Dead beat galvanometer | 381 |

To measure a constant current with the galvanometer | 382 |

Best method of introducing the current | 383 |

Measurement of a current by the first elongation | 384 |

Method of multiplication for feeble currents | 385 |

Measurement of a transient current by first elongation | 386 |

Correction for damping | 387 |

Series of observations Zurückwerfungsmethode | 388 |

If terms involving products of velocities and currents existed they would introduce electromotive forces which are not ob served 221 | 390 |

CHAPTER XVII | 392 |

Determination of G | 393 |

Determination of the mutual induction of two coils | 395 |

Determination of the selfinduction of a coil | 397 |

Comparison of the selfinduction of two coils | 398 |

Appendix to Chapter XVII | 399 |

CHAPTER XVIII | 402 |

Kirchhoffs method | 403 |

Webers method by transient currents | 404 |

His method of observation | 405 |

Thomsons method by a revolving coil | 408 |

Mathematical theory of the revolving coil | 409 |

Calculation of the resistance | 410 |

Corrections | 411 |

CHAPTER XIX | 413 |

The ratio of the units is a velocity | 414 |

Current by convection | 415 |

Weber and Kohlrauschs method | 416 |

Thomsons method by separate electrometer and electrodyna mometer | 417 |

Maxwells method by combined electrometer and electrodyna mometer | 418 |

Electromagnetic measurement of the capacity of a condenser Jenkins method | 419 |

Method by an intermittent current | 420 |

Condenser and Wippe as an arm of Wheatstones bridge | 421 |

Correction when the action is too rapid | 423 |

Capacity of a condenser compared with the selfinduction o a coil | 425 |

Coil and condenser combined | 427 |

Ampères investigation of the law of force between the elements | 428 |

Electrostatic measure of resistance compared with its electro magnetic measure | 430 |

CHAPTER XX | 431 |

Energy of light during its propagation | 432 |

Equation of propagation of an electromagnetic disturbance | 433 |

Solution when the medium is a nonconductor | 434 |

Characteristics of wavepropagation | 435 |

Comparison of this velocity with that of light | 436 |

The specific inductive capacity of a dielectric is the square o its index of refraction | 437 |

142 | 438 |

The electric displacement and the magnetic disturbance are in the plane of the wavefront and perpendicular to each other | 439 |

Energy and stress during radiation | 440 |

Pressure exerted by light | 441 |

Equations of motion in a crystallized medium | 442 |

Propagation of plane waves | 444 |

The theory agrees with that of Fresnel | 445 |

Comparison with facts | 446 |

Solution of the equations when the medium is a conductor | 447 |

Characteristics of diffusion | 448 |

Rapid approximation to an ultimate state | 449 |

CHAPTER XXI | 451 |

The rotation of the plane of polarization by magnetic action | 452 |

Werdets discovery of negative rotation in ferromagnetic media | 453 |

The velocity of a circularlypolarized ray is different according to its direction of rotation | 455 |

In media which of themselves have the rotatory property the velocity is different for right and lefthanded configurations | 456 |

The luminiferous disturbance mathematically considered is a vector | 457 |

Kinetic and potential energy of the medium | 458 |

Condition of wavepropagation 820 The action of magnetism must depend on a real rotation about the direction of the magnetic force as an axis | 459 |

Statement of the results of the analysis of the phenomenon | 460 |

Wariation of the vortices according to Helmholtzs law | 462 |

Expression in terms of the current and the velocity | 463 |

Velocity of a circularlypolarized ray | 464 |

The magnetic rotation | 465 |

Researches of Werdet | 466 |

Note on a mechanical theory of molecular vortices | 468 |

CHAPTER XXII | 471 |

The phenomena of magnetic molecules may be imitated by electric currents | 472 |

Simplicity of the electric theory | 473 |

Theory of a current in a perfectly conducting circuit | 474 |

Webers theory of diamagnetism | 475 |

Theory of a perfect conductor | 476 |

Mechanical action of magnetic force on the current which it excites | 477 |

Modifications of Webers theory | 478 |

Consequences of the theory | 479 |

Potential function due to a straight current It is a function | 480 |

Relative motion of four electric particles Fechners theory | 481 |

Two new forms of Ampères formula | 482 |

These are due to Gauss and to Weber respectively | 483 |

Webers formula is consistent with this principle but that of Gauss is not | 484 |

Potential of two currents | 485 |

Webers theory of the induction of electric currents | 486 |

Segregating force in a conductor | 487 |

858 Case of moving conductors | 488 |

The formula of Gauss leads to an erroneous result | 489 |

Theory of Riemann | 490 |

Theory of Betti | 491 |

Repugnance to the idea of a medium | 492 |

495 | |

497 | |

PLATES | 501 |