The fundamental theory for the prediction of eddy current response due to the presence of conducting samples of rather simple geometries has been well established. However, for any practical case the mathematics of the problem often preclude an exact analytical solution from being attained. Techniques based solely on numerical methods [1,2] have proven to be quite valuable, but have the disadvantage of concealing the dependence of the basically simple eddy current response on the physical parameters of the test-coil and material configuration. Several approximations can be made to simplify the mathematics of the problem, and thus allow solutions to be found that illustrate the fundamental functional relationships of the physical problem. A loss of generality is an inherent shortcoming of this approximate technique, but utilization of practical values of conductivities, permeabilities, dimensions, and frequencies of operation allow the results to remain meaningful.