We develop an analytical criterion, for the optimal pulse-charging of the sharp dendrites on coarse time period, beyond time-scales of inter-ionic collision, verified by our experimental investigation. We quantify the optimum rest period based on the competitive interplay between diffusion and electromigration as key factors for ionic flux. Additionally, we define a measure for the formation and relaxation of concentration gradients in the vicinity of curved dendrites, which is has critical role on the rate of growth. The accumulation such charge carriers during pulse period, in fact, can relax during a subsequent rest/reverse pulse period, preventing further local quickening ramified growth. Our dimension-free analysis permits the application of our results to a variety of electrochemical systems in all scales.