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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.

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  • $\begingroup$ What does $PD$ mean? $\endgroup$
    – DanielSank
    Dec 12, 2014 at 4:52
  • $\begingroup$ Do you mean passing through a magnetic field? Normally, a 'conductor' does not have a potential difference across it, as it is effectively a 'short-circuit'. For this reason, a surface of a conductor is considered an equipotential surface (no potential difference). $\endgroup$
    – theo
    Dec 12, 2014 at 5:00
  • $\begingroup$ Edited the questions for a bit more clarification. $\endgroup$
    – Pupil
    Dec 12, 2014 at 5:15
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    $\begingroup$ The difference between "little" and "no" in physics is a complicated matter. You can make the potential as small as you like by making l as small as you like, but you can't make l=0. There is no such thing as a conductor of zero length. $\endgroup$
    – CuriousOne
    Dec 12, 2014 at 6:17
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    $\begingroup$ Yes there will be an emf since the magnetic flux through the closed conducting loop is changing... BY Faraday's law $\endgroup$
    – Paul
    Dec 12, 2014 at 7:40

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