We measured Action Potentials (APs) with extracellular wet recording electrodes at a sampling rate of 10 Hz (i.e. 10 Samples per second, 10 Ss). The touch stimulation of an adult Arabidopsis thaliana (col accession) leaf elicited a transient (~10 sec) depolarization (~-50 mV) potential (AP), moving away from the excitation zone to the petiole at a speed of ~1.5 mm s-1. These numbers are in average coherent with those reported in the literature. But some works have reported ultra fast APs in the ms duration range and with m s-1 propagation speed (i.e. thousands time shorter and with propagation speeds of thousands times faster). This kind of ultra fast APs can't be measured at 10 Ss sampling rate. We undertook here to sample our touch elicited APs in Arabidopsis at different sampling rates (i.e comparing 10 Ss and 10000 Ss simultaneously and then at 100000 Ss). It is clearly demonstrated that touch elicited plant AP cannot result from higher frequency aliasing and a 10 Ss sampling rate is sufficient for a signal with ~10 s duration. At 100000 Ss sampling rate, it was possible to eventually observe some very fast electrical events. Their duration is from 10 μs (i.e. minimum sampling interval) to 200 μs. However, they occur simultaneously on 2 distant electrodes (Leaf – petiole) without any amplitude correlation, their median amplitude is not statistically different from the null value. There are no differences between different treatments on the leaf (i.e. none, water or H2SO4). It is very likely that these very fast electrical events don't have a biological origin. It is proposed that they are electrical interferences arising from external plant sources.