Experimental studies are reported for pulsed activation of trapped field magnets (TFMs), using a sequence of N equal pulses. These experiments are done on low field TFMs for which temperature increase is not yet a dominant limitation. For low and moderate amplitudes of activation pulses heights, B A , the trapped field at any distance r from the TFM centre increases as B T (r, N) ∝ k log N, where k is not a function of N. Thus the increment in trapped field is ∝1/N. Since log N increases without limit as N → ∞, while B T is limited by finite J C , limits are expected on the log N increase. The limiting behaviour is observed at higher values of B T (r, N), and is very well fitted by the multiplicative factor [1 − B T (r, N − 1)/B * (r)]. The resulting phenomenological equation fits the data at essentially all values of N, r, and B A . In this equation, B * (r) plays the role of the limiting value of B T (r) as N → ∞. A study of B * (r) leads to its identification as the trapped field reached in a zero-field-cool activation using a constant field of the same magnitude as the pulsed field.