Mu2e is an experiment that will operate in FNAL, looking for neutrinoless muon to electron conversions in an atomic nucleus field. A neutrinoless conversion cannot be explain via neutrino oscillation due to the low branching ration, instead it could be a proof of a Charged Lepton Flavour Violation (CLFV). The apparatus is composed by three superconductive solenoids: the Production Solenoid (PS), where the muon beam were produced, the Transport Solenoid (TS) that selects the muon and guides them to the Aluminum target inside the Detector Solenoid (DS). My doctoral project is focus on the electrical transport properties characterization of the four stabilized superconducting cables protypized and produced for the three mu2e solenoids. During the last three years I evaluted their critical currents dependence by applied magnetic field, their mechanical hardness and their vulnerability to point disturbances.