Factor of 2 error in balloon-borne atmospheric conduction current measurements

An exact expression is derived for the atmospheric current to a prolate spheroidal antenna. The effective collection area is considered, obtaining a solution for a spherical antenna and the vertical wire antenna. A factor of two error in the studies of the effective area of an antenna of arbitrary geometry by Kasemir and Ruhnke (1958) and Ogawa (1973) is discussed. The effects of the instrument-atmospheric interaction as they apply to the atmospheric conduction current measurement are considered. Electric field enhancement factors for spheroids and approximate solutions for spheroids and other elongated objects are given.