A magnetic sensor assembly comprising a first electrically insulative, flexible substrate and a first electrically conductive trace printed on a first surface of said substrate, wherein trace includes a start lead and an end lead , which leads are configured to provide a signal that is coupled to a positioning system; wherein substrate is wrapped so that its ends meet to form a seam to form a final shape which extends along a central axis, and wherein trace is arranged in a pattern configured to create a sensing coil when the substrate is formed into the final shape, with the trace being electrically continuous between the start and end leads , and with the sensing coil being disposed about said axis and having a winding angle that is substantially non-zero relative to a straight line perpendicular to said axis, whereby the projected area of coil in a magnetic field changes as sensor rotates about said central axis; wherein the sensor comprises a second flexible substrate with a second electrically conductive trace printed on a surface of said substrate in a pattern configured to create a sensing coil when the substrate is wrapped and formed into a final shape, with the second flexible substrate being layered radially on the first flexible substrate, or a second conductive trace layer layered radially on the first conductive trace and separated from the first conductive trace by an intervening electrically insulative layer, and wherein the winding angle of the coil formed by the conductive trace of said second flexible substrate or formed by the second conductive trace layer is different from said first winding angle. a first electrically insulative, flexible substrate and a first electrically conductive trace printed on a first surface of said substrate, wherein trace includes a start lead and an end lead , which leads are configured to provide a signal that is coupled to a positioning system; wherein substrate is wrapped so that its ends meet to form a seam to form a final shape which extends along a central axis, and wherein trace is arranged in a pattern configured to create a sensing coil when the substrate is formed into the final shape, with the trace being electrically continuous between the start and end leads , and with the sensing coil being disposed about said axis and having a winding angle that is substantially non-zero relative to a straight line perpendicular to said axis, whereby the projected area of coil in a magnetic field changes as sensor rotates about said central axis; wherein the sensor comprises a second flexible substrate with a second electrically conductive trace printed on a surface of said substrate in a pattern configured to create a sensing coil when the substrate is wrapped and formed into a final shape, with the second flexible substrate being layered radially on the first flexible substrate, or a second conductive trace layer layered radially on the first conductive trace and separated from the first conductive trace by an intervening electrically insulative layer, and wherein the winding angle of the coil formed by the conductive trace of said second flexible substrate or formed by the second conductive trace layer is different from said first winding angle. <EOS>