Solving for Magnetic Field Strength given Induced voltage in a coil

  1. 1. The problem statement, all variables and given/known data

    This is part of a lab I did, I am working on the writeup now. We placed a coil of wire inside of a Helmholtz pair, with 20V of 60Hz AC through the Helmholtz pair. The coil inside was connected to an oscilloscope and the induced voltages were recorded. I now need to solve for the strength of the magnetic field as the coil was moved along the axis of the Helmholtz pair.

    2. Relevant equations
    Period = 1/frequency T=1/f
    Faraday's Law emf = -d/dt (magnetic flux)

    3. The attempt at a solution

    Faraday's Law: emf = dB/dt * 2*pi*N*r^2 (area is constant, N is number of loops, B is changing)
    dB = emf/(2*pi*r^2) *dt
    integrate both sides
    B = emf/(2*pi*r^2*f) (f is frequency of current through the Helmholtz pair)

    Is this correct? Can I do this?
  2. jcsd
  3. can anyone help?
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