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Solving for Magnetic Field Strength given Induced voltage in a coil

by under_par_00
Tags: coil, field, induced, magnetic, solving, strength, voltage
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Nov7-08, 03:24 PM
P: 16
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?
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Nov8-08, 02:16 PM
P: 16
can anyone help?

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