A pulse-induction displacement transducer comprising at least one coil component (100,150), at least one target (112,174), and pulse induction circuitry (102,152} constructed and arranged to cause a pulse of electrical current to pass through the said at least one coil component (100,150). The pulse ends abruptly. Subsequently, the electrical current passing through the said at least one coil component (100,150), or the voltage across it, is measured at a time when any electrical current through or voltage across the said at least one coil component (100, 150) would have died away in. the absence of a target. This provides an indication of the relative position between the target (112,174) and the said at least one coil component (100, 150). The said at least one coil component (100,150) comprises a first terminal portion (108,158), a first coil part (104,152) connected directly or indirectly to the said first terminal portion (108,158) and wound in one sense. The coil component (100,150) also comprises, in series with the said first coil part (104, 152), a second coil part (164) wound in the opposite sense. The said second coil part (106,164) is connected directly or indirectly to a second terminal portion (110, 168). The said pulse induction circuitry (102,152) is connected between the said first terminal portion (108,158) and the said second terminal portion (110,168).