A cross-coupled switched capacitor circuit that has two branches. During a first phase for the first branch, an input voltage is provided that causes charge to move through a resistor and to be placed onto a plate of the capacitor within the branch. An equivalent amount of charge is transferred to an output node. The output node may be a summing node of a sigma-delta modulator. The summing node is one of the inputs to an operational amplifier that is part of the integrator of the sigma-delta modulator. The resistor and the capacitor in the first branch define an RC circuit and corresponding RC time constant. During the first phase, the capacitor does not reach a fully settled voltage for a desired resolution. During the second phase, the capacitor in the first branch of the circuit is set to a defined voltage. The defined voltage may be the settling voltage had the capacitor been allowed to settle during the first phase. The second branch of the switched capacitor feedback circuit operates similar to the first branch, but on opposite phases. By not requiring the voltage to settle during the first phase, power can be conserved, since the integrator of the sigma-delta modulator does not need to operate as fast with respect to movement of charge.