A new model of the coronal and interplanetary magnetic field can predi
ct both the interplanetary magnetic field strength and its polarity fr
om measurements of the photospheric magnetic field. The model includes
the effects of the large-scale horizontal electric currents flowing i
n the inner corona, of the warped heliospheric current sheet in the up
per corona, and of volume currents flowing in the region where the sol
ar wind plasma totally controls the magnetic field. The model matches
the MHD solution for a simple dipole test case better than earlier sou
rce surface and current sheet models. The strength and polarity of the
radial interplanetary magnetic field component predicted for quiet ti
me samples in each year from 1977 to 1986 agree with observations made
near the Earth's orbit better than the hybrid MHD-source surface mode
l (Wang and Sheeley, 1988). The results raise the question of whether
coronal holes are the only solar source of the interplanetary magnetic
field in the solar wind. If some interplanetary flux originates outsi
de coronal holes, the model can match the observed field using the acc
epted 1.8 saturation correction factor for lambda 5250 Angstrom magnet
ograph observations. Requiring open flux to come exclusively from coro
nal holes requires an additional factor of two.