  The Westerbork Northern Sky Survey (WENSS) and the NRAO/VLA Sky Survey (NVSS)
were used to determine an upper limit to the diffuse radio flux from the nearby
cluster Abell 2199. For the entire cluster, this limit is <3.25 Jy at 327 MHz
from WENSS; for the inner 15' radius, the limit is <168 mJy at 1.4 GHz. These
limits are used to constrain the cluster magnetic field by requiring that the
radio flux be consistent with the hard X-ray (HXR) flux observed by BeppoSAX,
assuming that the observed HXR excess is due to inverse Compton (IC) scattering
of cosmic microwave background photons by relativistic electrons in the
intracluster gas. We find that the magnetic field must be very weak (<0.073 uG)
in order to avoid producing an observable radio halo. We also consider the
possibility that the HXR excess is due to nonthermal bremsstrahlung (NTB) by a
population of suprathermal electrons which are being accelerated to higher
energies. We find that a NTB model based on a power-law electron momentum
distribution with an exponent of mu~3.3 and containing about 5% of the number
of electrons in the thermal ICM can reproduce the observed HXR flux.
