Page:A Treatise on Electricity and Magnetism - Volume 2.djvu/21

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  CONTENTS. xv
Art. Page
609. Equations of electric conductivity, (G) 232
610. Equations of total currents, (H) 232
611. Currents in terms of electromotive force, (I) 233
612. Volume-density of free electricity, (J) 233
613. Surface-density of free electricity, (K) 233
614. Equations of magnetic permeability, (L) 233
615. Ampère's theory of magnets 234
616. Electric currents in terms of electrokinetic momentum 234
617. Vector-potential of electric currents 236
618. Quaternion expressions for electromagnetic quantities 236
619. Quaternion equations of the electromagnetic field 237

Chapter X.

Dimensions of Electric Units.

620. Two systems of units 239
621. The twelve primary quantities 239
622. Fifteen relations among these quantities 240
623. Dimensions in terms of [e] and [m] 241
624. Reciprocal properties of the two systems 241
625. The electrostatic and the electromagnetic systems 241
626. Dimensions of the 12 quantities in the two systems 242
627. The six derived units 243
628. The ratio of the corresponding units in the two systems 243
629. Practical system of electric units. Table of practical units 244

Chapter XI.

Energy and Stress.

630. The electrostatic energy expressed in terms of the free electricity and the potential 246
631. The electrostatic energy expressed in terms of the electromotive force and the electric displacement 246
632. Magnetic energy in terms of magnetization and magnetic force 247
633. Magnetic energy in terms of the square of the magnetic force 247
634. Electrokinetic energy in terms of electric momentum and electric current 248
635. Electrokinetic energy in terms of magnetic induction and magnetic force 248
636. Method of this treatise 249
637. Magnetic energy and electrokinetic energy compared 249
638. Magnetic energy reduced to electrokinetic energy 250