A device for remotely supplying power, through magnetic induction, to a secondary module able to move in relation to a primary module along a predetermined path. An advantageous arrangement of the primary coils of the primary module and of a secondary coil of the secondary module furthermore allows the device to estimate the position of the secondary module. The primary coils are arranged such that: the primary coils form respective magnetic fields oriented in the same direction along their respective axes, during the movement, the inductive coupling between the first primary coil and the secondary coil evolves in the opposite way to the inductive coupling between the second primary coil and the secondary coil, the total inductive coupling existing between the primary coils and the secondary coil is substantially constant regardless of the position of the secondary coil.

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