The magnetic field of an annular MHD thruster made of independent supercond
ucting modules has been studied with analytical and numerical methods. This
configuration allows to obtain large magnetized volumes and high induction
levels with rapidly decreasing stray fields. When some inductors are out o
f order, the thruster remains still operational, but the stray fields incre
ase in the vicinity of the failure. For given structural materials and supe
rconductors, it is possible to determine the size of the conductor in order
to reduce the electromagnetic forces and the peak field supported by the c
onductors. For an active field of 10 T in a 6 m ray annular active channel
of a thruster with 24 modules, the peak field is exactly 15.6 T in the Nb3S
n conductors and the structure has to sustain 10(8) N/m forces. The necessi
ty to place some magnetic or superconducting shield is discussed, particula
rly when the thruster is in a degraded regime.