The equation $$i = \frac{q}{t}$$ defines the current (i) in an electrochemical process as the amount of charge (q) that flows through a conductor per unit of time (t). This relationship is crucial in understanding how electrical energy is transferred during electrolysis and relates to Faraday's laws of electrolysis, which describe how the amount of substance transformed at an electrode during electrolysis is proportional to the electric charge passed through the electrolyte.