Coil impedance variation due to induced current at the edge of a conductive plate

The time-harmonic induced current in a conductive plate has been calculated for an excitation by a normal coil near the plate edge. Using series expansions in elementary functions, the quasi-static solution for the plate is matched to the solution for the region outside the plate to ensure continuity of the tangential magnetic field and the normal magnetic flux density at the air?conductor interface. The continuity of the field is achieved by mode matching in a truncated domain. Predictions of the coil impedance as a function of position derived from this theory have been compared with experiment showing good agreement.