We propose a way to derive a radial electric current density from vect
or magnetograms that is free of any particular choice of the two possi
ble azimuths for the plane of the sky field. The method is applied to
active region data obtained with the Advanced Stokes Polarimeter (ASP)
. A comparison of this current density with that derived for two parti
cular sets of possible azimuth assignments allows one to evaluate the
appropriateness of each set. In addition one may verify the detection
of currents in general and the occurrence of current sheets, i.e. held
discontinuities, in particular.