A magnetospheric magnetic field that has a topological structure with
one pair of neutral points and one segmental neutral line is studied.
Such a magnetic field forms when the interplanetary field is southward
. There is a surface current on an open-ended complete flux surface in
this magnetospheric magnetic field. This current sheet on which the i
nduced Chapman-Ferraro current flows is the outer separatrix, which se
parates field lines attached to the Earth and field lines detached fro
m the Earth. In addition, there is an inner separatrix, which separate
s closed and open field Lines. The two neutral points are at the north
and south apices of the common wall shared by the two separatrices, o
n which the surface current is intense. The surface current is weak or
even insignificant on other parts of the outer separatrix. The neutra
l line is on the equatorial plane with two end points at the east and
west apices of the common wall shared by the two separatrices. It is a
separator at which closed, open, and detached field lines meet. The m
agnetic topology indicates that field line reconnection, which can tak
e place only at a separator, must occur away from the subsolar part of
the dayside magnetopause in order for an open magnetosphere to remain
in a quasisteady state.