The Coma cluster was observed for similar or equal to 90 ks by the PCA and
HEXTE instruments aboard the RXTE satellite. Our analysis of the measuremen
ts clearly indicates that in addition to the main thermal emission from hot
intracluster gas at kT similar or equal to 7.5 keV, a second spectral comp
onent is required to best-fit the data. If this component is thermal, its t
emperature is similar or equal to 4.7 keV, and it contributes similar or eq
ual to 20% of the total flux. The second spectral component can also be des
cribed by a power-law, probabaly due to Compton scattering of relativistic
electrons by the CMB. A Compton origin of the nonthermal component implies
that the volume-averaged magnetic field in the central region of Coma is B
similar or equal to 0.2 mu G, and the energy density of the emitting electr
ons is similar to 8 X 10(-14) erg cm(-3).