Is it possible, that a conductor with an extremely short length, say $1\text{mm}$ or less passing a magnetic field of $1T$ with a reasonable velocity of $20\text{m}/\text{s}$ would induce little to no potential difference at all, such that $0$ current $I$ would flow?
Is there a value, that's so small that current won't even flow? Regardless if there is Potential Difference (being very small)?
Edit: Using the following formula : $\epsilon$ = -$vBL$, since the conductor is entering the magnetic field, and exiting it while connected to a circuit.