The Inductor and the Transformer

https://www.ivor-catt.com/two-turn-inductor-one-turn-transformer-derivation-of-reflection-and-transmission-coefficients/

http://www.ivorcatt.co.uk/x22k1.pdf “The inductor as a transmission line” was accepted and published by the NY IEEE. Essentially the same article and the same maths (entitled “The one turn transformer as a transmission line”) was offered to the London IEE (now IET) and rejected for publication.

Later I challenged Gibson to simplify “The single turn transformer”. He did not rise to the challenge.

I had realised that the output for the secondary in the single turn transformer should be on the left, between P and Q, in order to greatly simplify the whole problem.

Analysis of the transformer, and of much else, then follows if the secondary of the transformer has two turns, not one turn. This makes the voltage output larger than the voltage input to the transformer. We have a proper transformer.

Note that if metal is inserted into the previously air-cored transformer, odd mode travels much faster than even mode, since it “sees” less metal.

I thought through all this half a century ago, but did not mention it to anyone until today 17.3.2024.

Now we should move forward to a full analysis of a transformer with one turn primary (input) and two turn secondary (output).

Is anyone listening? Will someone like Tong, linked with CERN, suggest that one percent of the money spent by CERN each week ($1 billion per year) go into doing this experiment and work? Why should Wakefield do it for free? He has done enough. http://www.ivorcatt.co.uk/x343.pdf

Ivor Catt  17.3.2024