Abstract: A transformer, typically a miniature transformer, to provide low-voltage power between, usually, 2 to 12 V from a power network has an auxiliary winding (6) inductively coupled to the core (9) of the transformer. A reference signal is provided from the power supply, and a monitoring circuit (32), which includes a difference-forming circuit (16) is coupled to receive (a) a signal from the auxiliary winding (6) and (b) the reference signal, the difference-forming signal providing an output in dependence on the state of magnetization of the core, by evaluating differences in magnetization (.DELTA.B) depending on whether power is being supplied by the transformer, or not. A circuit interruption element (10), typically a transistor, is serially connected between the power supply (1, 2) and the transformer.