A recent discovery from the Big Bear Solar Observatory has linked the
cancellation of opposite polarity magnetic fragments in the photospher
e (i.e.,so-called cancelling magnetic features) to X-ray bright points
and has stimulated the setting up of a converging flux model for the
process. Cancelling magnetic features can occur between magnetic fragm
ents of differing strengths in many different situations. Here, theref
ore, we model two opposite polarity fragments of different strengths i
n the photosphere by two unequal sources in an overlying uniform field
. Initially in the pre-interaction phase these sources are assumed to
be unconnected, but as they move closer together the interaction phase
starts with an X-type neutral point forming, initially on the photosp
here, then rising up into the chromosphere and corona before lowering
back down to the photosphere. The capture phase then follows with the
sources fully connected as they move together. Finally, after they com
e in to contact, during the cancellation phase the weaker source is ca
ncelled by part of the stronger source. The height of the X-type neutr
al point varies with the separation of the sources and the ratio of th
e source strengths, as do the positions of the neutral points before c
onnection and after complete reconnection of the two sources. The neut
ral point is the location of magnetic reconnection and therefore energ
y release which is believed to power the X-ray bright paint in the cor
ona. By using a current sheet approximation, where it is assumed no re
connection takes place as the two sources move together, the total amo
unt of energy released during reconnection may be estimated. The typic
al total free magnetic energy is found to be of the order of 10(20)-10
(21) J, which is as required for an X-ray bright point. It is also fou
nd that, as the ratio of the source strengths increases, the height of
the X-type neutral point decreases, as do the total energy released,
and the lifetime of the bright point.