There is no such relation between the anodic potential and the i-t curve. If you change the initial voltage in the i-t curve the amount of the charge that pass through will change. It depends on the electrochemical process happening (if any reaction is happening if you hold the potential to record i-t curve) at that potential.

There are nucleation and growth phenomena where the current (after jumping to the anodic potential) first decays with time due to the charging of the electrical capacity of the electrode/electrolyte interface, and then, after a certain induction time, the current increases again because by nucleation and growth a second reaction is starting. Given certain parameters for these processes, one may calculate the amperometric current transient (see e.g. papers by Arvia and coworkers!). hope this helps, Dirk