I'm not following these last few posts. The less core material, the less magnetizing current required to saturate yes, but a higher permeability also results in less magnetizing current required to saturate (for an equal core mass), not more. If you've not already done so, use a magnet and L-meter to check the coil inductance before and after magnet polarization. That should give you an idea what amp-turns (and/or core-turns) you need to affect the core to the degree you want. .99
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