Solving Series Transformers Problem with Lumped Resistance

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MRKN
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This is a problem I stumbled upon after noticing a pattern in the lab- the measured current was never quite what you'd expect from the turns ratio of either transformer alone, but somewhere in the middle.

I used 50:5 nominal turn toroidal CTs with 15 turns in one CT primary and 5 turns in the other primary.

This is not a homework question but rather an inquiry as far as whether or not I'd need to use complex models to analyze this situation, or rather lumped wire resistance.

To get a good start, notice the opposition of KVL in the secondary with the dot convention. This suggests zero flux in the transformer with the lesser amount of turns and thus simply Is = N1(Ip).
 
Attachments
  • Circuit schematic of two transformers, N1:1 on top and N2:1 below, with dot markings, wired in series-type connection from source Vs, with labelled currents Ip and Is and text asking for Is as a function of Ip, N1 and N2.
    transformers in series.JPG
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Discussion

Cannot be answered without knowing transformer efficiency (function of frequency, windings, core material).

An average current would be expected if the two transformers were magnetically coupled and behaving as one large transformer. Cheesy E-lams at 50-60Hz have a huge field...
 
you can find at basic electronic and tutorial..