The Art of Electronics is a text-book evolved to teach physicists enough el ectronics to let them understand the instruments they use.
It doesn't include the transformer equation. If a freshman physics textbook does, it won't be embedded in enough electronics to make the idea remotely useful. Final year secondary students can understand the relativity equati ons. The fact that a magnetic field is a consequence of Lorentz contraction won't strike them until they get a little further into the subject.
That's fine. You won't have done so.
Sure, but I couldn't post it here and expect to see it read.
This is about creating threads that end up in useful places, rather than po sting a giant slab of stuff that might be useful
Jim couldn't - he kill-filed me years ago.
Why would I indulgence you with anything quite so irrelevant? That kind of transformer sells off the shelf from broad-line distributors.
The voltage makes it clear that you are talking about driving it with 50/60 Hz mains. 400Hz parts for aircraft use wouldn't be all that different.
The coupling factor in that kind of design is between 0.99 and almost 1, an d usually doesn't matter. M is the geometric mean of L1 and L2 less a usual ly inconsequential sliver.