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Recently, magnetic gearboxes know a real interest. Due to the use of rare earth magnets, they reach high performances. However, their design is often issue from the mechanical gearbox one and then they do not offer any degree of freedom. In this paper, we propose an electromagnetic gearbox constituted of two electromagnetic structures, one fit inside the other. As each of both structures has its own electrical supply, this introduces two degrees of freedom. Thus, the system can ensure as well the gear operating than that of the clutch. First, the operating of the system is described and the electromagnetic structures introduced. Then, its behavior is studied using a numerical model based on 3-D-finite-element method (FEM). Different results given by 3-D analysis are presented.