Right angle circuitry
amasci.com
amasci.com
Some of the high end amp builders I know have spent a lifetime of experimentation figuring out the best way to place components and route circuits [anecdote, no references available]
If you want a simple example, have a look inside any audio amplifier. The two transformers will always be mounted at a 90 degree angle to each other (power xformer/output xformer) to minimize noise.
Twisted pair wiring, careful routing of grounds, transformer location and component selection all seem to play massive roles.
No wonder then that most amps these days are built around transistors, even though they sounds worse...
The author’s (William Beaty) other pages about electricity are somewhat interesting too http://amasci.com/ele-edu.html. In particular, he has some good rants about the terminology/pedagogy of E&M/electrical engineering: http://amasci.com/miscon/elect.html http://amasci.com/miscon/elteach.html http://amasci.com/miscon/whyhard1.html
In short: the terminology as used is ambiguous and confusing, and the common metaphors used to explain electricity are somewhere between misleading and wrong, and this has resulted in most people, including most textbook authors, having a poor understanding of how it actually works.
However in figure 8 while there is an A field which extends to infinity, don't forget that B = curl(A) and so the magnetic field of the torus is going to be confined within it. As such there's no way to induce a new field in the additional torus. A is a potential, it's not a "real" field in as much as you can only measure things like |B| and |E| (or quantum phases induced by A in the Ahranovov-Bohm experiment)