Page:A Treatise on Electricity and Magnetism - Volume 2.djvu/12

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vi CONTENTS  
Art. Page
391. Expansion of the potential of a magnet in spherical harmonics 16
392. The centre of a magnet and the primary and secondary axes through the centre 17
393. The north end of a magnet in this treatise is that which points north, and the south end that which points south. Boreal magnetism is that which is supposed to exist near the north pole of the earth and the south end of a magnet. Austral magnetism is that which belongs to the south pole of the earth and the north end of a magnet. Austral magnetism is considered positive 19
394. The direction of magnetic force is that in which austral magnetism tends to move, that is, from south to north, and this is the positive direction of magnetic lines of force. A magnet is said to be magnetized from its south end towards its north end 19

Chapter II.

magnetic force and magnetic induction.

395. Magnetic force defined with reference to the magnetic potential 21
396. Magnetic force in a cylindric cavity in a magnet uniformly magnetized parallel to the axis of the cylinder 22
397. Application to any magnet 22
398. An elongated cylinder. Magnetic force 23
399. A thin disk. Magnetic induction 23
400. Relation between magnetic force, magnetic induction, and magnetization 24
401. Line-integral of magnetic force, or magnetic potential 24
402. Surface-integral of magnetic induction 25
403. Solenoidal distribution of magnetic induction 25
404. Surfaces and tubes of magnetic induction 27
405. Vector-potential of magnetic induction 27
406. Relations between the scalar and the vector-potential 28

Chapter III.

particular forms of magnets.

407. Definition of a magnetic solenoid 31
408. Definition of a complex solenoid and expression for its potential at any point 32