Solving for Magnetic Field Strength given Induced voltage in a coil

[under_par_00]

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?

 

[under_par_00]

can anyone help?

 

[thomate1]

Yes, your approach appears to be correct. You correctly applied Faraday's Law to relate the induced voltage to the changing magnetic field. By integrating both sides, you were able to solve for the magnetic field strength as a function of the induced voltage, coil radius, and frequency. This is a common method used to determine the strength of a magnetic field in experimental setups. However, it is always important to double check your calculations and make sure all units are consistent. Also, keep in mind any potential sources of error in your experimental setup that may affect your results. Good luck with your write-up!