CAPACITANCE OF A HOLLOW CYLINDER

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 equation for the charge density on a hollow metalli c cylinder can be put into 'a standard form' of dual integral equation s, which can be transformed into a system of linear equation by means of a Neumann series. A general method to compute the coefficients of t he linear system is discussed and the plot of the capacitance as a fun ction of the ratio h/a (half-length/radius of the cylinder) is given. The range of validity of some classical approximate formulas is finall y discussed.