A Wiener-Hopf solution to the triple integral equations for the electrified disc in a coplanar gap

摘要: The axisymmetric potential problem for a plane circular electrode of radius in concentric hole b coplanar earthed sheet is formulated terms triple integral equations the Hankel transform potential, and reduced to single Fredholm equation by use Erdelyi-Kober fractional operators. In limit small gap width ( − )/ , takes form which solved applying Wiener-Hopf technique Mellin f x ). This leads asymptotic expression capacity disc; opposite derived. Numerical integration governing has been carried out range intermediate values b/a .