CAPACITANCE OF A CYLINDRICAL SYSTEM

A wide class of electromagnetic problems can be expressed as a system of dual integral equations. These kinds of integral equations occur in boundary value problems wherein there is an integral equation for a c ertain region and another for the rest of the region. In this paper it is shown that the integral equation for the charge density on a hollo w metallic cylinder of finite length enclosed in another cylinder of i nfinite length can be put into a standard form of dual integral equati ons, which can be transformed into a numerically well-posed system of linear equation by means of a Neumann series. A general method to comp ute the coefficients of the linear system is discussed and some plots of the charge density distributions, and of the capacitance as a funct ion of the ratio h/r(1) (half-length/radius of the cylinder) are given . The range of validity of the classical asymptotic expansion is final ly discussed.