The electromagnetic response of a thin disk with finite conductivity in free space to an arbitrary sinusoidal primary magnetic field is solved through use of an orthogonal expansion in Bessel functions. The eddy currents induced in the disk and the secondary magnetic field are calculated for various locations of a dipole generating the primary field and for different values of the induction number. Numerical computation is done only in the final stages of the analysis so that little computing time is needed to obtain detailed results.