The general analytical equations corresponding to the potential-time response obtained for a charge transfer reaction in cyclic chronopotentiometry with power current-time functions at a static mercury drop electrode are presented. The superposition principle can be applied in this case in spite of the fact that the successive applied currents are non-linear functions of time. These theoretical equations have been tested experimentally in the following cases : (a) for reversible systems in order to quantify the amalgamation product effects; (b) for non-reversible systems pointing out that a given electrode process becomes more irreversible the lower the power of time in the applied current; (c) to analyse the influence of the electrode kinetics on the potential-time curves by using solutions of Cd2+ with different concentrations of n-pentanol by determining kinetic parameters of the charge transfer reaction.The sensitivity obtained in the characterisation of amalgamation processes is similar to that of voltammetric stripping techniques. Moreover, the analysis of the different cycles of the potential-time response allows us to obtain accurate values of kinetic parameters, as well as to detect possible complications in the charge transfer reaction.