The theory of reversible, quasi-irreversible, and totally irreversible charge-transfer reactions between adsorbed molecules in cyclic reciprocal derivative chronopotentiometry with power currents of the form I(t) = +/-I(0)t(u) (CRDPC) is presented. For certain values of u, it is possible to set the peak heights to increase when the reversibility of the process decreases. This possibility represents an enormous advantage of this electrochemical technique in the characterization of nonreversible processes, since it is the only technique for which this behavior is observed. The use of programmed currents is advantageous versus constant currents (used in the usual reciprocal derivative chronopotentiometry) since in this last case peaks are not obtained for totally irreversible processes. CRDPC presents, as compared to cyclic voltammetry, higher and narrower peaks. Moreover, the signals obtained in CRDPC are also narrower than those corresponding to cyclic reciprocal derivative exponential chronopotentiometry. The theoretical predictions have been proved by applying CRDPC to the study of adsorption of quinizarine (reversible behavior) and azobenzene (irreversible behavior) systems on mercury in aqueous media.