A regulator includes an error amplifier with a first input coupled to receive a reference voltage and a second input coupled to receive a feedback signal. A driver transistor provides an output voltage of the regulator that powers a memory. A replica transistor provides a replica voltage that powers a replica of the memory. A first ratio of a size of the replica of the memory to a size of the memory is less than one, and a second ratio of a drive strength of the replica transistor to a drive strength of the driver transistor is less than one. Each of the first ratio and the second ratio is at most 1/500. Switching circuitry provides one of the output voltage or the replica voltage as the feedback signal to the error amplifier.