Sensitive, high-resolution VLA polarimetric observations are presented
for the radio galaxy Hydra A, an outstanding example of a high-lumino
sity radio source embedded within a cooling flow cluster. We find extr
emely high Faraday rotation measures (RMs), throughout the central reg
ions of this source, with a strong asymmetry between the north and sou
th lobes. Simple models for the high RMs are discussed and compared wi
th the observations. To explain the north-south asymmetry in RM requir
es a magnetic field of strength approximately 6 muG organized over a s
cale of approximately 100 kpc. On smaller scales we find a tangled mag
netic field with a strength of approximately 30 muG.