Additions To The Formulas For The Calculation Of Mutual And Self Inductance Classic Reprint

Excerpt from Additions to the Formulas for the Calculation of Mutual and Self-Inductance Since the general term is available in all the series formulas, it is possible to calculate the mutual inductance of any two coaxial circles whatever without having recourse to the elliptical integral formulas. In some cases (see pp. 8 and 9 of Scientific Paper No. 1 69) the values calculated by the series formulas are more accu rate than those obtained by the exact formula, and in any case the series are valuable for obtaining a check, not to mention their adaptability to the carrying out of integrations. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from Formulae and Tables for the Calculation of Mutual and Self-Inductance A great 'many formula have been given for calculating the mutual and self-inductance of the various cases of electrical circuits occurring in practice. Some Of these formula have subsequently been shown to be wrong, and Of those which are correct and appli cable to any given case there is usually a choice, because of the greater accuracy or greater convenience of one as compared with the others. For the convenience Of those having such calculations to make we have brought together in this paper all the formula with which we are acquainted which are of value in the calculation of mutual and self-inductance, particularly in nonmagnetic circuits where the frequency Of the current is low enough to assure sensibly uniform distribution of current. A considerable number of formula which have been shown to be unreliable or which have been replaced by others that are less complicated or more accurate have been omitted, although in most cases we have given references to such omitted formula. Where several formula are applicable to the same case we have pointed out the especial advantage Of each and indicated which one is best adapted to precision work. In the second part of the paper we give a large number of exam ples to illustrate and test the formula. Some Of these examples are taken from previous papers by the present authors, but many are new. We have given the work in many cases in full to serve as a guide in such calculations in order to make the formula as useful as possible to students and others not familiar with such calcula tions, and also to facilitate the work Of checking up the results by anyone going over the subject. We have been impressed with the advantage Of this in reading the work Of others. In the appendix to the paper are a number of tables that will be found useful in numerical calculations of inductance. In most cases we have given the name Of the author of a formula in connection with the formula. This is not merely for the sake Of historical interest, or to give proper credit to the authors, but also because we have found it helpful to distinguish in this way the various formula instead of denoting each merely by a number. The formula of sections 8 and 9, which are taken largely from a paper by one of the present authors,1 are, however, not so designated, although the authorship Of those that are not new is indicated where known. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Excerpt from Calculation of the Self-Inductance of Single-Layer Coils The values of the constant B are given in Table VIII with 72 the total number of turns in the coil as argument. By means of these two tables and equation (27) it is easy to find the correction for any particular case, as the following illustrations will show. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.