I didn't know where to post this, but I figured since it has the word "relativity" in my question I would stick it here. V = IR. In a super conductor R = 0 and I = V/R = V/0 which is infinity. This implies an infinite number of charges per second flowing, and hence that the charges are travelling with infinite speed. Obviously they are limited by the speed of light, so is there a formula for relativistic currents?