A summary is given of the general quantitative theory of electrostatic generators in the final, simplified form, as progressively developed by the author in a number of previous papers. The method is illustrated by detailed application to (I) a four carrier, bisymmetric replenisher, (2) a six carrier, trisymmetric replenisher, (3) a four carrier, four symmetric, electrostatic alternator, and (4) a four carrier, bisymmetric, constant potential electrostatic generator. Various artifices for simplifying and shortening the labor of mathematical solution are given.
I. GENERAL THEORY.
In a number of previous papers, the author has developed a quantitative theory of t.he electrostatic generator. The original method, which was laborious even in application to simple machines, 1,'-',a was subsequently simplified and extended 4, 5 until it became capable of application even to relatively complicated machines. 6,7, a. 9.~0 The purpose of the present work is to give a summary of this theory in its final form, together with its principal applications, as well as to present some new material hitherto unpublished. Needless to say, the march of nuclear physics into the realm of high potentials lends new interest t,~ this theory.