A coil arrangement (215) for a magnetic induction impedance measurement apparatus comprises an excitation coil (208) configured for generating a magnetic excitation field in an object, a shimming coil (364) for generating a shimming field, and a detection coil (210-214) configured for detecting a magnetic response field generated in response to the magnetic excitation field inducing a current in the object (106). In order to enhance an accuracy of a determination of a parameter of an object, a value of a field strength of a net magnetic excitation field in the detection coil (210-214), being the sum of the excitation field and the shimming field, is approximately within a magnitude range of an average value of a field strength of the magnetic response field in the detection coil (210-214).