A current sensing circuit includes a differential current input stage connected to a differential voltage output stage. The differential current input stage includes a reference current input from a current source and a sensor current input from a sensing device; a first voltage output corresponding to the reference current and a second voltage output corresponding to the sensor current; and a first switch for substantially equalizing the first and second voltage outputs when closed. The first and second voltage outputs are respective inputs to the differential voltage output stage, which then outputs a differential output voltage corresponding to the difference between the first and second voltage outputs.