AN EDDY-CURRENT PROBLEM WITH A THIN INDUC TOR

In this Note a two-dimensionnl model for time-harmonic eddy currents i s considered where the magnetic field has only one non-vanishing compo nent. Using asymptotic techniques, we take into account the case of a thin inductor. For this, we justify a ''simplified'' model where the b oundary layer effect is handled. In the ease of one thin conductor ive show that the limit problem is the well-known Kirchhoff equation for RL circuirs. A second model is obtained from the former in the case of ''moderately high'' frequencies.