A system for the detection and passivation of an electric arc on at least one connecting element of an electrical device, comprising: an acoustic acquisition channel configured for the acquisition of acoustic signals emitted by said connecting element, an electric acquisition channel configured for the acquisition of electric signals which are representative of the electric current intensities supplying said connecting element, and a correlator coupled to said acoustic and electric acquisition channels, configured for the evaluation of a correlation between the acoustic and electric signals and for the tripping of an appropriate cut-off signal for the interruption of an electric circuit relative to said connecting element, where said correlation is representative of the initiation of an electric arc, the system being characterized in that said correlator comprises: a memory for the storage of at least one acoustic signature (21a-21c) for an electric arc and at least one electric signature for an electric arc, said memory being designed for the storage of a series of acoustic signatures, each of said acoustic signatures being defined as a function of the atmospheric pressure at said connecting element, an acoustic comparator connected to said acoustic acquisition channel, configured for the comparison of acoustic signals with said at least one acoustic signature, in order to confirm whether the acoustic signals are indicative of the occurrence of an electric arc, an electric comparator connected to said electric acquisition channel and configured for the comparison of electric signals with said at least one electric signature, in order to confirm whether said electric signals are indicative of the occurrence of an electric arc, and a cut-off tripping device coupled to said acoustic and electric comparators, and configured for the tripping of the cut-off signal if the acoustic signals are indicative of an electric arc and the electric signals are also indicative of an electric arc. an acoustic acquisition channel configured for the acquisition of acoustic signals emitted by said connecting element, an electric acquisition channel configured for the acquisition of electric signals which are representative of the electric current intensities supplying said connecting element, and a correlator coupled to said acoustic and electric acquisition channels, configured for the evaluation of a correlation between the acoustic and electric signals and for the tripping of an appropriate cut-off signal for the interruption of an electric circuit relative to said connecting element, where said correlation is representative of the initiation of an electric arc, the system being characterized in that said correlator comprises: a memory for the storage of at least one acoustic signature (21a-21c) for an electric arc and at least one electric signature for an electric arc, said memory being designed for the storage of a series of acoustic signatures, each of said acoustic signatures being defined as a function of the atmospheric pressure at said connecting element, an acoustic comparator connected to said acoustic acquisition channel, configured for the comparison of acoustic signals with said at least one acoustic signature, in order to confirm whether the acoustic signals are indicative of the occurrence of an electric arc, an electric comparator connected to said electric acquisition channel and configured for the comparison of electric signals with said at least one electric signature, in order to confirm whether said electric signals are indicative of the occurrence of an electric arc, and a cut-off tripping device coupled to said acoustic and electric comparators, and configured for the tripping of the cut-off signal if the acoustic signals are indicative of an electric arc and the electric signals are also indicative of an electric arc. a memory for the storage of at least one acoustic signature (21a-21c) for an electric arc and at least one electric signature for an electric arc, said memory being designed for the storage of a series of acoustic signatures, each of said acoustic signatures being defined as a function of the atmospheric pressure at said connecting element, an acoustic comparator connected to said acoustic acquisition channel, configured for the comparison of acoustic signals with said at least one acoustic signature, in order to confirm whether the acoustic signals are indicative of the occurrence of an electric arc, an electric comparator connected to said electric acquisition channel and configured for the comparison of electric signals with said at least one electric signature, in order to confirm whether said electric signals are indicative of the occurrence of an electric arc, and a cut-off tripping device coupled to said acoustic and electric comparators, and configured for the tripping of the cut-off signal if the acoustic signals are indicative of an electric arc and the electric signals are also indicative of an electric arc.