A current limited voltage supply including a transistor and a capacitor is provided for powering digital logic cells of an integrated circuit. The transistor is connected in a current mirror configuration, such that a constant reference current is mirrored through the transistor to create a first supply current. The transistor is coupled to the digital logic cells and the capacitor. The first supply current is used to charge the capacitor while the digital logic cells are not switching. While the digital logic cells are switching, the capacitor discharges to the digital logic cells, thereby providing the digital logic cells with sufficient energy to implement high-speed switching. The capacitor minimizes voltage fluctuations within in the current limited voltage supply, such that analog circuitry can be reliably powered from a different branch of the same current mirror circuit.