From one of my favorite books, Code: The Hidden Language of Computer Hardware and Software by Charles Petzold:

Here, he explains how to setup switches and lightbulbs in two locations with the purpose of communicating by turning the lights on and off according to some previously established protocol/code.
My question: is he oversimplifying - because that isn’t the point of this chapter - which route/path the current would take when both switches are closed? As in:

Would the wire, which I awkwardly marked blue, also become charged and/or carry current? Or would there be no current because the cathodes of the two adjacent batteries cancel out any difference/voltage in the “blue wire” that would otherwise cause a current?


On a real circuit where every component is different from each other, yes there will be current there.
On that ideal circuit, try specifying the characteristics of those components and writing down how much current goes through each segment. That will let you understand what is happening.
Thanks! In this book, for better and for worse, we are only trying to understand binary logic and how to express parts of that (AND and OR) with serial and parallel switches, so we’re not really touching on the electrical characteristics of the individual components. But I’ll keep your reply in mind going forward! 😊
Try visualizing the current by using arrows of a proportional length directing from
+to-(or in opposite direction).If the book is trying to explain an Wien bridge, the OP will need to actually put numbers there. Just looking at the sizes won’t be enough.
It doesn’t matter if you use numbers or scaled! vectors.