Electromagnet Design for Separating Ferrous Material from an Ore Mixture

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Matthew Howard
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Good day

I've been the task of designing an electromagnet to remove ferrous material from ore mixture. I've calculated the flux density require to remove the particle from underneath a burden depth of 400mm; which is 792.7177 Gauss. (Force index is: 1.5710*10^6 G^2/m)

However what I've been struggling with is determining the flux density generated by the electromagnet at distance x from the core (400mm). I need to design it with respect to:

Inner coil diameter
Height of core and coil
Number of turns
Current

From my understand the best way to solve this problem is to model it on modelling software. ut if anyone could give me an equation that would be able to accurately predict the flux density. I would be most grateful and please correct me if my values above are incorrect. I am new to electromagnets.
 
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Hello Matthew, :welcome:

Your task is honorable but far from simple for a newbie. What tools do you have to help you with the design ? Any 'getting started' stuff from colleagues (or competitors, or equipment vendors) ?

Can you follow the calculations such as these ? (In your case the gap is relatively huge, so I don't know how good the expressions will be...)

As a physicist I'd say that the 40 cm is one digit accuracy, so you need at least 800 Gauss , not 792.7177 . But If I were you I'd add a factor of ten just for good measure, to pull the stuff from underneath a layer of heavy sediments...
In fact I'd redesign to pull them from a much thinner layer, like e.g 10 cm on a conveyor belt or something.
 
Start from this one:
http://maurermagnetic.ch/PDF/White-Paper-E-magnetic-attraction-particles.pdf