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A trapezoidal configuration of the magnetic head which is a better approximation to the actual head shape as compared to the shapes treated so far is assumed. The Schwartz-Christoffel transformation is used to determine the magnetic field distribution around this head shape, and a field mapping equation is obtained. Examples of the field distribution around the trapezoidal as well as the finite head configurations are computed with the aid of an electronic digital computer using the mapping equation obtained. The results are compared and discussed. The digital computer program used is written in FORTRAN II, and is listed and described.