The equilibrium and magnetic field structure of a quiescent polar-crow
n prominence is considered in this model. An evolution is considered i
n which a bipolar region of photospheric flux approaches and interacts
with the open polar field to produce a location of dipped magnetic fi
eld lines in the corona. It is suggested that prominence formation may
occur here, either by a flow of chromospheric plasma along the field
or by means of the reconnected, rising field lines which transport den
se material into the required location. A fully developed prominence s
olution is then presented in which a weighted, curved current sheet is
supported by the Lorentz forces of the field and a simple two-dimensi
onal solution for the interior of the prominence is given.