An example bandgap reference circuit includes an amplifier, a first, a second, and a third switch, and a capacitor. The first switch is coupled between an inverting input and an output of the amplifier to provide a negative feedback loop around the amplifier when the first switch is closed. The capacitor has a first end coupled to the inverting input, and a second end coupled to the second switch, where the capacitor is charged to a voltage substantially equal to an offset voltage of the amplifier when the second switch is closed. The third switch is coupled to a second end of the capacitor, where the voltage across the capacitor is subtracted from an input loop of the reference circuit to cancel the offset voltage of the amplifier when the third switch is closed.