A portable device is used to measure exposure to magnetic fields and/or exposure to changes of magnetic field. The device (10) includes a first sensor (14) for measuring instantaneous magnetic field strength, and a second sensor (15) which is located adjacent to, and orientated in the same direction as, the first sensor for providing an output indicative of the time rate of change of the magnetic field. An integrator (22) integrates the rate of change output from the second sensor (15) over time to derive relative changes in the magnetic field. A processor (20) is connected to the outputs of at least the first sensor and the integrator. The processor selectively provides an indication of field strength from the output of the first sensor if the output is within the normal operating range of the first sensor, or otherwise from the integrator. A memory (24) is connected to the output of the second sensor (15) to store cumulative exposure to changes in the magnetic field. Three pairs of first and second sensors may be orientated in respective orthogonal directions.