In a superconducting electromagnet system or method, cryogenically cooled magnet coils are arranged to provide a static magnetic field in an imaging region. A gradient coil assembly is arranged to provide oscillating magnetic fields within the imaging region. An electrically conductive shield is positioned between the cryogenically cooled magnet coils and the gradient coil assembly. The cryogenically cooled magnet coils are located within an outer vacuum chamber, and the electrically conductive shield is positioned outside the outer vacuum chamber between a surface of the outer vacuum chamber and the gradient coil assembly and inside a bore tube of the outer vacuum chamber. The conductive shield is supported on resilient damping mounts between the conductive shield and the gradient coil assembly and between the conductive shield and the bore tube of the outer vacuum chamber.