Solving for Magnetic Field Strength given Induced voltage in a coil

AI Thread Summary
To solve for the magnetic field strength given the induced voltage in a coil, Faraday's Law is applied, where the induced electromotive force (emf) is related to the rate of change of magnetic flux. The setup involves a coil placed in a Helmholtz pair with a 20V AC supply at 60Hz, and the induced voltages are recorded using an oscilloscope. The derived equation for magnetic field strength is B = emf/(2*pi*r^2*f), where r is the radius of the coil and f is the frequency. The approach involves integrating the relationship between emf and the changing magnetic field. Clarification is sought on the correctness of this method for calculating the magnetic field strength.
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Homework Statement



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.


Homework Equations


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

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?
 
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