  A variety of models have been explored in regard to the origin of the excess
extreme ultraviolet (~ 0.1 keV) emission in the Coma cluster. It is now
established that the flux is non-thermal and the only non-thermal source
mechanism that appears viable is inverse Compton emission produced by ~ 100 MeV
electrons interacting with the cosmic microwave background photons. All but one
of the models that have been proposed require a cluster magnetic field < 1
micro G. However, recent observations strongly suggest the magnetic field in
the Coma cluster is ~ 5 micro G. We investigate the constraints on models
imposed by a 5 micro G cluster field and find a limited class of models that
are compatible with this constraint. We also investigate the possibility that
the excess hard (40-60 keV) X-ray emission in the cluster is produced by
inverse Compton emission with the same electron population that produces the
EUV excess. We find no scenarios that are compatible with a large cluster
magnetic field, and consequently in this case these two components must be
unrelated.
