An arrangement for measuring a current flowing in an electrical conductor includes a magnetic circuit, for coupling to the electrical conductor, the magnetic circuit has an air gap. A magnetic field-sensitive component that serves for measuring the magnetic field generated by the electrical conductor is situated between the arms of the magnetic circuit. Two control cores are arranged in the air gap of the magnetic circuit. The control cores each include a control winding for magnetically saturating the respective control core and are arranged on both sides of the electrical conductor.