This page needs to be proofread.
| 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 |
