Abstract: A magnetic system comprises a frame with at least one coil arranged coaxially thereon and providing for the setting-up of a magnetic field, and a cooling system. Wound in layers on a former of each coil are conducting and insulating tapes encompassed by a serving on an outer surface. Means for circulating coolant are disposed in close proximity to end surfaces of the coils, a gap being provided to allow flow of said coolant between the end surface of the coils and said means. The end surfaces of the coils are formed substantially by extremities of the conducting and insulating tapes.