Abstract
The scalar potential of any system of axisymmetric conductors can be expanded in terms of Legendre polynomials. This paper describes a method for including the effects of a spherical iron shell into the Legendre polynomial expansion. The scalar potential is found using a surface integral approach by dividing the iron surface into elements over which the potential is constant and then using point collocation. Numerical results are obtained for a range of values of permeability by varying the number of elements and are found to agree well with the analytical results.
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