Modeling the effects of an axial magnetic field on the vacuum arc

A quantitative two-dimensional model of a vacuum are in an applied magnetic field is presented. For the particular case, a uniform axial magnetic field B-Z, it provides a unified condition for the two regimes of are voltage versus B-Z, i.e., the steeply falling voltage branch (low B-Z), and the slowly rising voltage branch (high B-Z, which characterizes the diffuse are mode). The transition to the high-B-Z regime is complete when the average mixing distance of the individual expanding cathode-spot plasma jets, measured from the cathode plane, is equal to the contact gap length. The model also predicts the observed smooth transition and minimum are voltage between the two branches, and the independence of the arc voltage on the arc current in the high-B-Z regime. Calculated results are found to be in good agreement with reported experimental data from several independent investigations over a wide range of gap, B-Z and arc current I-ARC.