Measuring device, comprising: a receiver coil array configured to detect three magnetic field components of a magnetic field, generated by an electric alternating current signal, of a conductor loop array and to provide a magnetic field component signal for each of the detected three magnetic field components, wherein the receiver coil array is configured to detect the three magnetic field components along linearly independent directions; and evaluation means that is configured to evaluate the magnetic field component signals for determining, for the magnetic field component signals, allocated phase relations to the electric alternating current signal, wherein the phase relations each comprise coarse position information of the receiver coil array 102 relative to the conductor loop array, and wherein the evaluation means is configured to determine a resulting intersection of the coarse position information, wherein the resulting intersection comprises fine position information of the receiver coil array relative to the conductor loop array; wherein a positioning area is allocated to the conductor loop array, wherein the positioning area runs parallel to a conductor loop plane that is spanned by the conductor loop array and wherein the positioning area is of the same size or greater than a conductor loop area that is within the conductor loop plane and is limited by the conductor loop array; wherein the coarse position information each indicates a coarse region of several possible coarse regions (152_x0:152_x2:152_y0:152_y2; 152_z0:152_y2) of the positioning area, wherein the coarse regions (152_x0:152_x2:152_y0:152_y2; 152_z0:152_y2) indicated by the coarse position information overlap; and wherein the fine position information indicates a fine region of several possible fine regions (154_x0_y0_z0:154_x2_y2_z2) of the positioning area resulting from the intersection of the indicated coarse regions (152_x0:152_2:152_y0:152_y2; 152_z0:152_y2). a receiver coil array configured to detect three magnetic field components of a magnetic field, generated by an electric alternating current signal, of a conductor loop array and to provide a magnetic field component signal for each of the detected three magnetic field components, wherein the receiver coil array is configured to detect the three magnetic field components along linearly independent directions; and evaluation means that is configured to evaluate the magnetic field component signals for determining, for the magnetic field component signals, allocated phase relations to the electric alternating current signal, wherein the phase relations each comprise coarse position information of the receiver coil array 102 relative to the conductor loop array, and wherein the evaluation means is configured to determine a resulting intersection of the coarse position information, wherein the resulting intersection comprises fine position information of the receiver coil array relative to the conductor loop array; wherein a positioning area is allocated to the conductor loop array, wherein the positioning area runs parallel to a conductor loop plane that is spanned by the conductor loop array and wherein the positioning area is of the same size or greater than a conductor loop area that is within the conductor loop plane and is limited by the conductor loop array; wherein the coarse position information each indicates a coarse region of several possible coarse regions (152_x0:152_x2:152_y0:152_y2; 152_z0:152_y2) of the positioning area, wherein the coarse regions (152_x0:152_x2:152_y0:152_y2; 152_z0:152_y2) indicated by the coarse position information overlap; and wherein the fine position information indicates a fine region of several possible fine regions (154_x0_y0_z0:154_x2_y2_z2) of the positioning area resulting from the intersection of the indicated coarse regions (152_x0:152_2:152_y0:152_y2; 152_z0:152_y2).