We present a study of the polarizing power of dust in cold dense regio
ns (dark clouds) compared with that of dust in the general interstella
r medium (ISM), Our study uses new polarimetric, optical, and spectral
classification data for 36 stars to carefully study the relation betw
een polarization percentage (p) and extinction (A(v)) in the Taurus da
rk cloud complex. We find two trends in our p-A(v) study: (1) stars th
at are background to the warm ISM show an increase in p with A(v), and
(2) the percentage nf polarization of stars that are background to co
ld dark clouds does not increase with extinction. We detect a break in
the p-A(v) relation at nrl exttlzctiooz of 1.3 +/- 0.2 mag, which we
expect corresponds to a set of conditions where the polarizing power o
f the dust associated with the Taurus dark clouds drops precipitously.
This break point places important restrictions on the use of polarime
try in studying interstellar magnetic fields.