A study of copper cathode erosion in a magnetically driven arc setup, as a function of arc current, is reported. The experiments showed the presence of two different erosion regimes. In the low current micro-erosion regime, erosion slowly rises with arc current. Then, at a certain critical current, macro-erosion begins, and has a strong dependence of erosion on current. It was shown that the critical current for transition from micro- to macro-erosion is a linearly decreasing function of the applied magnetic field. The erosion versus current behavior is shown to be explained by a recently published thermal model.