How to apply Faraday's Law of Induction

AI Thread Summary
To apply Faraday's Law of Induction for measuring ambient magnetic field strength, a circuit can be constructed using a 1mH inductor as a probe. The voltage induced in the inductor will depend on the rate of change of magnetic flux, which can be calculated using the formula n * dφ/dt. A practical example discussed involves using a coil with ten turns and a diameter of 14 inches to measure voltage induced by a 0.5 Gauss field from a 60Hz power line. While air core inductors may work, caution is advised with iron cores due to potential flux concentration. Resources such as specialized books on magnetic measurements can provide further guidance on building effective measuring devices.
HyTronix
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Greetings,

I have read the explanation on this forum here: https://www.physicsforums.com/showthread.php?t=441637 which discusses Faraday's Law of Induction, but I'm having a hard time understanding how to extrapolate that to my problem.

My goal:

Construct a circuit that measures ambient magnetic field strength, i.e., for finding wires, or determining if the ambient field strength is above a recommended (and likely arbitrary) background level of .5 Gauss.

I have a great deal of electronics experience, but, frankly, I'm terrible with math. Construction of the circuit is quite simple (I have a working spice model at any rate) but where Faraday's Law enters the picture is this:

-Assume the "probe" I've placed in this device is a 1mH inductor
-I'm expecting this probe to produce a voltage I can measure, likely in micro or millivolts

So, can anyone give me a working example that would help me understand this? For instance, if my 1mH inductor was placed into a field of .5G strength coming from a 60Hz power line, what voltage would be induced on the probe?

Thanks,

-John
 
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Google for Hall Effect. That effect is essence for measuring ambient magnetic fields, Concept is quite simple. Although that is for DC currents, I think it should apply somehow to AC.
 
aha magnetics is not well taught IMHO. n * dphi/dt is fine but what are the units?

i used ten turns on 14 inch diameter to give 0.1 square meter coil
so the voltage induced was direct indication of omega * (d phi/dt), flux in webers/m^2 which is 10,000 gauss.. at 60 hz w is 377 so next time i might make the coil 1/3.77 square meters.

i hope i have units right...

if your 1mh inductor is air core it might work but i wouldn't trust an iron core for fear it'll concentrate flux.

you need this book
http://books.google.com/books/about/The_magnetic_measurements_handbook.html?id=byy_GwAACAAJ

it's great. i built his fluxgate magnetometer.
 
Thanks to both of you. I'll definitely grab a copy of that book.

-John
 
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