There is an equation: dB/dt - curl( v x B) = - curl ( L curl B) for the magnetic field B in MagnetoHydroDynamic domains. For the boundary conditions we have curl B = -mu j (j is the electric current density)
the answer depends on the Problem you are solving. But typically if it is for far field conditions you can apply some Kind of "open BC"....with d2B/dx2=0 or dB/dx=0. But once agin it depends on the Problem and on the scale.