An observation of the radio galaxy 3C 295 during the calibration phase of t
he Chandra X-Ray Observatory reveals X-ray emission from the core of the ga
laxy, from each of the two prominent radio hot spots, and from the previous
ly known cluster gas. We discuss the possible emission processes for the ho
t spots and argue that a synchrotron self-Compton (SSC) model is preferred
for most or all of the observed X-ray emission. SSC models with near-equipa
rtition fields thus explain the X-ray emission from the hot spots in the tw
o highest surface brightness FR II radio galaxies, Cygnus A and 3C 295. Thi
s lends weight to the assumption of equipartition and suggests that relativ
istic protons do not dominate the particle energy density.