Various circuits and methods are disclosed for generating a regulated voltage. According to an example embodiment, an apparatus includes a voltage regulation circuit including a transistor having a channel between source and drain nodes and a gate for affecting current passing through the channel. The voltage regulation circuit configured and arranged to generate, from a voltage source, a regulated voltage at an output node. The voltage regulation circuit exhibits a transfer function having a pole-frequency that varies in response to changes in the current passed by the transistor. The apparatus also includes a current control circuit connected to the voltage regulation circuit, and configured to adjust current provided to the output node to maintain a relatively constant current through the transistor.