The invention relates to a sensor (1) comprising a pulse generator (2) and an electrode (3) connected to an output of the pulse generator (2). A detector (61) detects a change in the amplitude of the signal being present at the electrode, and a control unit (62) operatively connected to the output of the detector (61), detects the presence of a person interacting with the sensor based on the output signal of the detector (61). Furthermore, the electrode (3) is connected to the pulse generator (2) via an inductive circuit such that the sensor can detect the presence of a user but can also be used as a touch sensor.In one embodiment, the pulse generator (2) via an inductive circuit is adapted to generate a pulse train with repetition rate equal to the resonance frequency of the inductive circuit or to an integer multiple of an octave of said resonance frequency.An automatic faucet (100) using such sensor is further described.