Page:A Treatise on Electricity and Magnetism - Volume 2.djvu/20

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xiv CONTENTS.  
Art. Page
580. Electromagnetic force 208
581. Case of two circuits 208
582. Theory of induced currents 209
583. Mechanical action between the circuits 210
584. All the phenomena of the mutual action of two circuits depend on a single quantity, the potential of the two circuits 210

Chapter VIII.

Exploration of the Field by Means of the Secondary Circuit.

585. The electrokinetic momentum of the secondary circuit 211
586. Expressed as a line-integral 211
587. Any system of contiguous circuits is equivalent to the circuit formed by their exterior boundary 212
588. Electrokinetic momentum expressed as a surface-integral 212
589. A crooked portion of a circuit equivalent to a straight portion 213
590. Electrokinetic momentum at a point expressed as a vector, 214
591. Its relation to the magnetic induction, . Equations (A) 214
592. Justification of these names 215
593. Conventions with respect to the signs of translations and rotations 216
594. Theory of a sliding piece 217
595. Electromotive force due to the motion of a conductor 218
596. Electromagnetic force on the sliding piece 218
597. Four definitions of a line of magnetic induction 219
598. General equations of electromotive force, (B) 219
599. Analysis of the electromotive force 222
600. The general equations referred to moving axes 223
601. The motion of the axes changes nothing but the apparent value of the electric potential 224
602. Electromagnetic force on a conductor 224
603. Electromagnetic force on an element of a conducting body. Equations (C) 226

Chapter IX.

General Equations..

604. Recapitulation 227
605. Equations of magnetization, (D) 228
606. Relation between magnetic force and electric currents 229
607. Equations of electric currents, (E) 230
608. Equations of electric displacement, (F) 232