An RF security element has a capacitor (8) and a spiral-wound coil (4) with at least two windings (6), in which the coil has at least one winding of straight wire (12) and at least one winding of undulated wire (14). The coil is produced by alternately winding at least one turn of straight wire (12) and at least one turn of undulated wire (14) onto a winding spindle (22), with the undulated wire being formed by passing a portion of straight wire (12) through at least two mating gears (26). The capacitor (8) is produced by intertwining first and second pieces of wire (16, 18) on the two ends of the coil (4).
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