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CONTENTS. | xvii |
Art. | Page |
---|---|
663. Mathematical expression for the effect of the induced currents | 269 |
664. Case of the uniform motion of a magnetic pole | 269 |
665. Value of the force acting on the magnetic pole | 270 |
666. Case of curvilinear motion | 271 |
667. Case of motion near the edge of the sheet | 271 |
668. Theory of Arago's rotating disk | 271 |
669. Trail of images in the form of a helix | 274 |
670. Spherical current-sheets | 275 |
671. The vector-potential | 276 |
672. To produce a field of constant magnetic force within a spherical shell | 277 |
673. To produce a constant force on a suspended coil | 278 |
674. Currents parallel to a plane | 278 |
675. A plane electric circuit. A spherical shell. An ellipsoidal shell | 279 |
676. A solenoid | 280 |
677. A long solenoid | 281 |
678. Force near the ends | 282 |
679. A pair of induction coils | 282 |
680. Proper thickness of wire | 283 |
681. An endless solenoid | 284 |
Chapter XIII.
Parallel Currents.
682. Cylindrical conductors | 286 |
683. The external magnetic action of a cylindric wire depends only on the whole current through it | 287 |
684. The vector-potential | 288 |
685. Kinetic energy of the current | 288 |
686. Repulsion between the direct and the return current | 289 |
687. Tension of the wires. Ampère's experiment | 289 |
688. Self-induction of a wire doubled on itself | 290 |
689. Currents of varying intensity in a cylindric wire | 291 |
690. Relation between the electromotive force and the total current | 292 |
691. Geometrical mean distance of two figures in a plane | 294 |
692. Particular cases | 294 |
693. Application of the method to a coil of insulated wires | 296 |
Chapter XIV.
Circular Currents.
694. Potential due to a spherical bowl | 299 |
695. Solid angle subtended by a circle at any point | 301 |