A current sensing system comprising: a core material defining a gap region; a conductor arranged adjacent to the core material; a coil wrapped around a portion of the core material, wherein the magnetic field is generated in the gap region, wherein the magnetic field comprises a first component and a second component, and wherein the first and second components are generated by current through the conductor and current through the coil, respectively; a first magnetic field sensor located in said gap region and comprising a magnetoresistive bridge circuit configured to receive a supply voltage between a supply node and a ground node, and configured to generate an output voltage that indicates a strength and direction of a magnetic field, the MR bridge circuit comprising: first and second MR elements (116-1, 116-2) connected in series between the supply node and the ground node; and third and fourth MR elements (116-3, 116-4) connected in series between the supply node and the ground node, wherein the output voltage is generated between a first node that is common to the first and second MR elements (116-1, 116-2) and a second node _that is common to the third and fourth MR elements (116-3, 116-4); and a second magnetic field sensor (134, 136) located in said gap region and configured to generate signals based on the strength and direction of the magnetic field; characterised in that the current sensing system further comprises: a first adjustable load connected in parallel with one of the MR elements (116-1, 116-2, 116-3, 116-4), wherein the first adjustable load has a first resistance that is controlled based on the signals generated by the second magnetic field sensor (134, 136). a core material defining a gap region; a conductor arranged adjacent to the core material; a coil wrapped around a portion of the core material, wherein the magnetic field is generated in the gap region, wherein the magnetic field comprises a first component and a second component, and wherein the first and second components are generated by current through the conductor and current through the coil, respectively; a first magnetic field sensor located in said gap region and comprising a magnetoresistive bridge circuit configured to receive a supply voltage between a supply node and a ground node, and configured to generate an output voltage that indicates a strength and direction of a magnetic field, the MR bridge circuit comprising: first and second MR elements (116-1, 116-2) connected in series between the supply node and the ground node; and third and fourth MR elements (116-3, 116-4) connected in series between the supply node and the ground node, wherein the output voltage is generated between a first node that is common to the first and second MR elements (116-1, 116-2) and a second node _that is common to the third and fourth MR elements (116-3, 116-4); and a second magnetic field sensor (134, 136) located in said gap region and configured to generate signals based on the strength and direction of the magnetic field; characterised in that the current sensing system further comprises: a first adjustable load connected in parallel with one of the MR elements (116-1, 116-2, 116-3, 116-4), wherein the first adjustable load has a first resistance that is controlled based on the signals generated by the second magnetic field sensor (134, 136). first and second MR elements (116-1, 116-2) connected in series between the supply node and the ground node; and third and fourth MR elements (116-3, 116-4) connected in series between the supply node and the ground node, wherein the output voltage is generated between a first node that is common to the first and second MR elements (116-1, 116-2) and a second node _that is common to the third and fourth MR elements (116-3, 116-4); and a second magnetic field sensor (134, 136) located in said gap region and configured to generate signals based on the strength and direction of the magnetic field; characterised in that the current sensing system further comprises: a first adjustable load connected in parallel with one of the MR elements (116-1, 116-2, 116-3, 116-4), wherein the first adjustable load has a first resistance that is controlled based on the signals generated by the second magnetic field sensor (134, 136).