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Magnetostatics and Electrostatics

  1. Nov 29, 2007 #1
    Here is the problem, I have no idea how to do this!

    (In a single straight wire) If the positive charges (density p+) are at rest, and the negative charges (density p-) move at speed v, show that:

    p- = -(p+)*(gamma)^2
     
  2. jcsd
  3. Nov 30, 2007 #2

    Astronuc

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    Staff: Mentor

    Is gamma some kind of ratio?

    The traveling charges (enclosed current) induces a magnetic field which in turn imposes a force on moving charges, which then must be offset by an electrostatic attraction.
     
  4. Nov 30, 2007 #3
    Yeah gamma = 1/ sqrt(1-v^2/c^2) where v is velocity and c is the speed of light!
     
  5. Nov 30, 2007 #4
    Try to think that the global electric charge must be conserved, and see how in relativity change the volumes by lorentz contraction. then remember that Q=density times volume and you'll get the answer...
     
  6. Nov 30, 2007 #5

    Astronuc

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    Staff: Mentor

    for get this approach and go with what Marco_84 suggested. I was thinking something entirely different, not realizing that this was about SR.
     
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