Solving for Magnetic Field Strength given Induced voltage in a coil

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SUMMARY

The discussion focuses on calculating the magnetic field strength using induced voltage measurements from a coil placed in a Helmholtz pair setup. The experiment utilized a 20V, 60Hz AC source, and the induced voltages were recorded via an oscilloscope. The solution involves applying Faraday's Law, leading to the derived formula B = emf/(2*pi*r^2*f), where emf is the induced voltage, r is the radius of the coil, and f is the frequency of the AC current. This approach effectively links the induced voltage to the magnetic field strength as the coil is moved along the axis.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Familiarity with AC circuit concepts, specifically voltage and frequency
  • Basic knowledge of coil geometry, including radius and number of loops
  • Experience with oscilloscope usage for voltage measurement
NEXT STEPS
  • Study the principles of electromagnetic induction in depth
  • Learn about Helmholtz coils and their applications in magnetic field experiments
  • Explore advanced integration techniques for solving differential equations in physics
  • Investigate the effects of frequency on induced voltage in AC circuits
USEFUL FOR

Physics students, electrical engineers, and researchers involved in electromagnetic studies or laboratory experiments related to magnetic fields and induction.

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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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