A magnetic flow meter has an electrically insulating member extending inward from an inner wall of a flow tube and extending along a selected axial portion of the tube. At least one pair of electrodes are placed adjacent opposite sides of the insulating member at a selected axial position so as to define a voltage sensing path. At least one of the electrodes is connected to an adjustment mechanism that allows the electrode to be set at a selected radial position, where the position can be selected so that the sensed voltage varies linearly with volumetric flow rate.