This invention relates to a measurement device comprising at least one sensor (20) designed to be installed on a mobile element (8) free to move with respect to a base (14), the mobile element being capable of moving into several positions with respect to the base (14) including a so-called proximity position in which it is close to the base (14). The sensor (20) cooperates with a power supply device comprising a rechargeable energy source (22) equipped with at least one first charging antenna (23-1) located on the mobile element (8) and at least one second charging antenna (23-2) located on the base (14), to be coupled to the first charging antenna (23-1) to recharge the energy source (22). Coupling between the two charging antennas (23-1, 23-2) is only made when the mobile element (8) is in the proximity position.