A method to manufacture a coil around a component of an article using an automatic machine and comprising the steps of: moving, by means of a main conveyor of the automatic machine and along a working path, a carriage provided with a seat (22, 23, 24) designed to house the component; placing, in an input station of the automatic machine arranged along the working path, the component in the seat (22, 23, 24) of the carriage; and coupling, in a winding station (S3, S6, S9, S12, S15, S18) of the automatic machine arranged along the working path downstream of the input station, an electrically conductive wire around the component in order to obtain a series of turns making up the coil; wherein a work cycle of the automatic machine lasts from an initial instant, in which the carriage carrying the component devoid of the coil reaches the winding station (S3, S6, S9, S12, S15, S18), to a final instant, in which the carriage carrying the component provided with the coil leaves the winding station (S3, S6, S9, S12, S15, S18); wherein the coil is made up of a number of turns less than 50; and wherein the wire is directly wound around the component being made to rotate around the component during a winding step which constitutes a fraction of the work cycle of the automatic machine; the method is characterized in that: the diameter of the wire is less than 500 μm; and the time duration of the winding step during which the wire is made to rotate around the component ranges from 50% to 70% of a total time duration of the work cycle of the automatic machine. moving, by means of a main conveyor of the automatic machine and along a working path, a carriage provided with a seat (22, 23, 24) designed to house the component; placing, in an input station of the automatic machine arranged along the working path, the component in the seat (22, 23, 24) of the carriage; and coupling, in a winding station (S3, S6, S9, S12, S15, S18) of the automatic machine arranged along the working path downstream of the input station, an electrically conductive wire around the component in order to obtain a series of turns making up the coil; wherein a work cycle of the automatic machine lasts from an initial instant, in which the carriage carrying the component devoid of the coil reaches the winding station (S3, S6, S9, S12, S15, S18), to a final instant, in which the carriage carrying the component provided with the coil leaves the winding station (S3, S6, S9, S12, S15, S18); wherein the coil is made up of a number of turns less than 50; and wherein the wire is directly wound around the component being made to rotate around the component during a winding step which constitutes a fraction of the work cycle of the automatic machine; the method is characterized in that: the diameter of the wire is less than 500 μm; and the time duration of the winding step during which the wire is made to rotate around the component ranges from 50% to 70% of a total time duration of the work cycle of the automatic machine. the diameter of the wire is less than 500 μm; and the time duration of the winding step during which the wire is made to rotate around the component ranges from 50% to 70% of a total time duration of the work cycle of the automatic machine.