Vanadium 50
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A random piece of iron ot steel has μ=150 or so. So 3mm of steel has the same effect as less than half a millimeter of air. So the steel doesn't matter. Just the air. So you need to get as much of the air gaps out of your system as possible.
The alternative is to crank up the current. The problem is you are already near the 20 AWG limit. OK, so instead increase the number of turns - but that increases the resistance and now you need more voltage. So I think you are stuck with fixing the geometry.
The alternative is to crank up the current. The problem is you are already near the 20 AWG limit. OK, so instead increase the number of turns - but that increases the resistance and now you need more voltage. So I think you are stuck with fixing the geometry.