Difficulties in relating magnetograph measurements to the actual solar
magnetic field are discussed. After a brief review both of problems i
nherent in the nature of the measurements and of sources of instrument
al error, we show that field measurements taken within the photosphere
can map out large-scale regions of a single magnetic polarity even th
ough these regions contain no footpoints of large-scale magnetic struc
tures, but instead only aggregates of small, unresolved bipoles. This
may occur wherever the density of unresolved bipoles has a preferred o
rientation and a spatial variation along the direction of that orienta
tion. We call these regions virtual unipolar regions, as they are not
connected to regions of opposite polarity by field loops or lines pass
ing through the corona. Investigation of these regions shows that they
can arise at widely separated locations, and that they may evolve int
o real unipolar magnetic regions which are connected to the chromosphe
ric and coronal fields. These results can explain a number of puzzling
aspects of magnetograph observations of the solar background magnetic
field.