  We have conducted a survey of 61 southern white dwarfs searching for magnetic
fields using Zeeman spectropolarimetry. Our objective is to obtain a magnetic
field distribution for these objects and, in particular, to find white dwarfs
with weak fields. We found one possible candidate (WD 0310-688) that may have a
weak magnetic field of -6.1+/-2.2 kG. Next, we determine the fraction and
distribution of magnetic white dwarfs in the Solar neighborhood, and
investigate the probability of finding more of these objects based on the
current incidence of magnetism in white dwarfs within 20 pc of the Sun. We have
also analyzed the spectra of the white dwarfs to obtain effective temperatures
and surface gravities.
