Device having a multimode antenna with variable width of conductive wire

A method of operating a device that includes a multimode antenna and a switching circuit, the multimode antenna comprising (i) a first coil having first and second coil ends and comprising a first plurality of conductive traces that each (a) comprise a respective plurality of first coil turns and (b) are electrically connected to at least one other first conductive trace of the first plurality of conductive traces, (ii) a second coil having third and fourth coil ends and comprising a second plurality of conductive traces that each (a) comprise a respective plurality of second coil turns that comprise at least a first turn comprising a varying first width in a first range and a second turn comprising a varying second width in a second range, wherein the second range is different than the first range and (b) are electrically connected to at least one other second conductive trace of the second plurality of conductive traces, and (iii) a flexible substrate comprising a plurality of substrate layers, wherein at least one substrate layer of the plurality of substrate layers is positioned between each trace of both the first plurality of conductive traces of the first coil and the second plurality conductive traces of the second coil, the method comprising:

• selecting an operating mode for the multimode antenna from a set of operating modes that includes (i) a first operating mode that (a) causes the switching circuit to form a first conducting path comprising a series electrical connection between the first and second coils that enables electrical current to flow through both the first and second coils and (b) causes the multimode antenna to operate at a first inductance, (ii) a second operating mode that (a) causes the switching circuit to form a second conducting path that enables electrical current to flow through the second coil but not the first coil and (b) causes the multimode antenna to operate at a second inductance, and (iii) a third operating mode that (a) causes the switching circuit to form a third conducting path that enables electrical current to flow through the first coil but not the second coil and (b) causes the multimode antenna to operate at a third inductance;
• based on the selected operating mode from the set of operating modes, causing the switching circuit to form a conducting path across a pairwise combination of two of first, second, and third terminals that are each physically available for connection by the switching circuit, wherein each of the first, second, and third terminals is configured to connect to one of the first coil end of the first coil, a junction point that electrically connects the second end of the first coil with the third end of the second coil, or the fourth coil end of the second coil;
• and
• based on the conducting path across the pairwise combination of two of the first, second and third terminals, configuring the multimode antenna to operate with an inductance selected from the first, second, and third inductances.