A current sensing system constituted of: an impedance element; a switching network arranged to alternately couple a first end of the impedance element between a supply voltage and return, the impedance element arranged to develop a voltage there across reflecting a current flow to a load coupled to the second end of the impedance element; a first stage amplifier, a first and second input thereof respectively coupled to the first and second end of the impedance element, a power supply input thereof coupled to a voltage greater than the supply voltage and a return thereof coupled to the first end of the impedance element, the amplifier having a first and second output, the potential difference reflecting the impedance element voltage times a first stage gain; and a second stage amplifier, a first and second input thereof respectively coupled to a first and second output of the first stage amplifier.