Abstract

This paper investigates the potential of a small cylindrical rod standing upon, and insulated from, a charged plane, and provided with a small collector at the top. Data of a direct observational comparison between such a rod and a standard piece of apparatus are given. The main part of the paper consists of a theoretical determination of the potential of the rod by means of an approximate solution of the integral equation involved. The investigation is extended to cover a certain range of values of the ratio of the diameter to the height of the rod. An attempt is made to indicate the distribution of charge on the surface of the rod in a special case. An estimate is made of the subsidiary error involved when the collector takes the form of a horizontal fuze which shortens as it burns away.

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