A magnetic field applicator (1, 55) that has a ramped signal curve for the coil currents (10, 37, 44, 49) that are used, comprised of low frequency base pulses (10, 37) of the coil current with ramp-shaped rising amplitudes, which are active during a defined treatment period (1), which are a component of the pulse packets (44) composed of the base pulses (10, 37), the envelopes (17, 17a, 17b) of which, described by the amplitudes of the base pulses (10, 37) are likewise ramp-shaped, wherein the envelopes (17a, 17b, 17c) of which form the amplitudes of the base pulses (10, 37) of a rising curve segment (57) starting from close to zero, which rises until approximately the midpoint of a treatment period (11) and subsequently forms a constant curve segment (58) corresponding to a maximum current strength, until the end of the treatment period (11) (FIGS. 13-15).