Should work if the primary/secondary impedances are similar, and if the donor transformer has (or can be set to) the same IF frequency as the receptor set. If impedance and/or resonance frequency are greatly dissimilar the set will have very poor (or no) performance. If both sets are tube sets there should be no problem with matching impedances; and chances are good that you can adjust the padder caps to get the circuit to resonate at your set's IF frequency. Worth a try, anyway.
Radio manufacturers didn't really hit on 455 KHz as an AM IF "standard" until the 1940s. Before that, they were all over the place, but mostly in the 450-475 KHz ballpark (some oddballs were MUCH lower). This span was within the adjustment range of the resonator caps, so you could use a "heathen" IF transformer as a replacement in a typical tube radio and have a reasonable expectation that it could be adjusted to work. Of course, it would have to undergo an IF stage alignment as the first order of business.
Don't try to use a car radio IF transformer, they used, I think, 262 kHz for an IF for some reason.
Lewis
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Absolutely not! The radio wants an AC/DC transformer. It does not some crappy battery transformer and will immedialtely go up in smoke if you even bring one near it. Never forget, these radios are extremely precise devices and you should never deviate from the original parts by even the slightest amount.
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Raymond;
I, like you, do not understand that post at all. An IF transformer, connected to a plate, can not possibly know if the B+ is coming from a battery or a rectifier. There are very few ways you can construct an IF transformer to connect a plate to a grid.
Lewis