A boundary integral formulation of the eddy current problem

The eddy current problem for slowly varying fields is formulated using Fredholm integral equations. The problem is expressed in terms of the electric vector potential, T. The development here is for two dimensions so that in rectangular coordinates only Jxand Jyare permitted. The formulation to be presented uses a modified Bessel function as the kernel. In this way only the boundary of the conductors need be represented. The result is in general far fewer equations than a differential formulation such as finite difference or finite elements.