Abstract
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 one integral equation for a certain region, and another for the rest of the region. In this paper it is shown that the equation for the potential distribution due to an insulating cylinder column with a band electrode in a conducting space, representing a well logging problem, can be put into a standard form of dual integral equations, which can then be transformed into a system of linear equation by means of a Neumann series. A general method to compute the coefficients of the linear system is discussed in order to obtain some approximate formulas and the plot of the conductance as a function of the ratio a/ Δ (radius/half-length of the cylinder column).
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