Static Field by an Infinitely Long Cylinder Penetrating a Circular Aperture

Abstract

An electrostatic problem of a long conducting cylinder penetrating a circular aperture on a conducting plane is solved in this study. The Weber transform and mode matching are utilized to determine the electrostatic potential. The boundary conditions are enforced to obtain series equations for the discrete modal coefficients. Computations are carried out to illustrate the static fields, surface charge densities, and capacitance changes for various geometries.