XCV. The field between equal semi-infinite rectangular electrodes or magnetic pole-pieces

Abstract

Abstract The conformal transformation which, gives the properties of the two-dimensional electrostatic system of two equal semi-infinite rectangular electrodes of opposite potentials, with a gap between them, is obtained, in terms of elliptic functions. Some equipotentials are mapped. Surface densities at various points and total charges on certain lengths of the conductors are calculated. Capacities of various parts of the system regarded as condensers are obtained, along with other electrical quantities. An experimental determination of equipotential curves made to test the theory is described. Additional informationNotes on contributorsN. Davy Communicated by Professor L. F. Bates, D.Sc.