Suppose I route coax through a strong DC magnetic field, such as in an
MRI, with the magnetic field perpendicular to the cable axis. Will the
current distribution in the center conductor then become biased "up"
with respect to the field (right hand rule), and the current
distribution in the shield then become biased "down," thereby
destroying symmetry?



I assume you only ask, in theory? First thought coming to my mind is
what is going to happen with that coax near the MRI when it is turned on!




Ed :^)