Open AccessThe electric or magnetic polarisation of a thin cylinder of finite length by a uniform field of force
Author(s) -
Thomas Henry Havelock
Publication year - 1907
Publication title -
proceedings of the royal society of london. series a, containing papers of a mathematical and physical character
Language(s) - English
Resource type - Journals
eISSN - 2053-9150
pISSN - 0950-1207
DOI - 10.1098/rspa.1907.0013
Subject(s) - cylinder , moment (physics) , electric field , electromagnetic induction , polarity (international relations) , magnetic field , physics , mechanics , field (mathematics) , dielectric , classical mechanics , mathematics , condensed matter physics , mathematical analysis , geometry , chemistry , quantum mechanics , biochemistry , cell , pure mathematics , electromagnetic coil
The problem to be considered is the calculation of the polarisation induced in a cylindrical rod of finite length by a uniform field of force parallel to its axis. The only formula previously given appears to be that of Green for the normal component of the polarity at the surface of the rod. In the following investigation the method of solution of the general problem of induction by series is used, and expressions are given in §§ 4 and 5 for the mean moment of the rod and the induction across the central section. It is assumed that the susceptibility of the rod is independent of the applied force; consequently the formulæ apply especially to a dielectric rod suspended in a uniform field of electric force, this being, in fact, the purpose for which the calculations were made.