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1. As I understand it, the reason we laminate the cores in the firstYes.
place is to reduce eddy current loops which cause energy
dissipation.
But now it appears there’s a trade-off in that doing so also causesNo drop. No trade-off; see below (*).
a big drop in the inductance gain.
Is it sort of the case that eddy currents create magnetic fieldsNope. Just the opposite. I might know where this misconception
which helps increase the inductance,
at the same time those currents lead to Joule heating?
So what I would ideally want is a ferromagnetic material that has
super high conductivity, so I get lots of eddy currents but little
resistive dissipation?
The laminations are parallel to the field, so you made a parallel
circuit magnetic field. I think not much decrease. Each laminate
sheets completes the magnetic circuit. Take and old transformer and
go band saw it in half (yes, that is both a noun and a verb). You'll
easily see the sheets forming complete loops in the direction of B.