The Electric Field Produced by an Eccentric Dipole in a Homogeneous Circular Conducting Lamina

Abstract

In a manner essentially similar to that adopted by Helmholtz and particularized by F. N. Wilson and R. H. Bayley for the solution of the potential of the arbitrary dipole in the homogeneous spherical conductor, the corresponding solution is developed for an arbitrary dipole potential in and on the boundary of a homogeneous circular plane lamina. The formulas for the latter solution are simple when compared with those for the sphere, and should therefore prove useful in testing measuring circuits and lead methods before attacking clinical electrocardiographic problems. A table is computed for positions of the zero of potential on the boundary, using 15 equal increases of dipole eccentricity both for the circular plane lamina and for the sphere.