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Homework Help: Flux Density

  1. Feb 9, 2010 #1
    1. A loop of wire is placed between the poles of a magnet. The magnetic field can be assumed uniform between the poles. The formed by the loop within the field of the magnet is 20cm2.
    (i). Determine the magnitude of the flux density required to induce a maximum voltage of 1V when the loop is rotated at 6000rpm

    2. E = 2 B l r ω

    3. E = 2 B l r ω
    We know E= 1v, lr = half A and ω = 6000 x 2Pi / 60

    Therefore B = 2 x 0.5 x A x ω / E

    So B = 2 x 0.5 x 20 x (6000 x 2Pi/60) / 1 = 12566Wb
    Anyone check please, thanks
  2. jcsd
  3. Feb 9, 2010 #2

    Magnetic flux Phi = integral (B dot dA)

    Phi = B*A*sin(wt)

    Induced voltage E = -N*dPhi/dt where N in the number of turns which is one in your case.
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