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Potential of a rod moving through electric field

  1. Sep 27, 2011 #1
    1. The problem statement, all variables and given/known data

    A vertical wire with current I, and a rod, perpendicular to the wire, at a distance d from the wire and with a length of L. The rod is moving with velocity v parallel to the wire. What is the potential at the far end of the rod given the chosen potential at the end of the rod closest to the wire is zero.

    2. Relevant equations

    B=\epsilon*I*(2*pi*L)
    V=E

    3. The attempt at a solution

    So I started with trying to find the overall magnetic field the rod goes through, by integrating B from d to d+L, leaving me with ln((d+L)/d)*ϵ0*I/(2*pi)
    Then given E=Electric potential, emf=E*L,
    B*v=E=V

    V=v*ln((d+L)/d)*ϵ0*I/(2*pi)

    I doubt this is correct though, any help would be greatly appreciated.
     
  2. jcsd
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