A sensor arrangement for determining the position and/or change in position of a measurement object relative to a sensor, wherein a magnet is assigned to the measurement object, is configured, with respect to the design of an operationally reliable sensor with low production costs, such that the sensor has a first conductor and a second conductor which is arranged alongside the first conductor and such that a magnetically soft film is arranged in the area of influence of the first and second conductors, the permeability of which film changes under the influence of a magnetic field and which film influences the electromagnetic coupling between the first and second conductors. A corresponding method is specified.