Question: In the following diagram, in a real life physical lab test performed with real (time synchronized) volt meters with a real transformer and real resistors CONNECTED AS SHOWN, will the readings of all the volt meters sum to zero, within the accuracy and resolution limitations of the volt meters? YES or NO.
(Or if you believe SOMETIMES is the answer, then explain one scenario for a YES condition and one scenario for a NO condition WITH THE VOLT METERS CONNECTED AS SHOWN - Running additional conductors through the transformer core is not allowed - nor is removing existing conductors from through the transformer core!)
You do realize that this is not a circuit that is equivalent to the "Lewin Ring", or equivalent to the circuit I gave you to solve, right?
Of course! "That" is a simple circuit that can be easily constructed and measured by anybody.
I was hoping we could find some common ground there and at least agree that KVL appears -- and perhaps does - hold on the above topology.
But like all the others, you are afraid to answer either because you don't have what it takes to test reality, or you know that your answer will undermine your belief.
That was my challenge to you, the task was to find the voltages across the resistors and the wires:
And that's what you came up with:
Which of course brings up the question why you found it necessary to add a "transformer secondary" to find the voltage across "2R".
You call it an "added secondary" but it MEASURES AND MODELS the exact same as if the right hand volt meter was instead on the left. Doesn't matter where it is. It doesn't loop through the core, which means it's not another winding.
Remember, KVL requires two-terminal elements. If we're not using a two-terminal element, OF COURSE kvl isn't even applicable.
You want me to run a volt meter lead through the core which effectively adds another secondary winding, making it into a 3 terminal element, and as such, it's no longer applicable for KVL.
By having only ONE PATH through the core, we effectively have what MODELS AND MEASURES as a black box 2 terminal element, which is what KVL requires - and we can unambiguously measure the voltage across THOSE TWO TERMINALS and KVL holds.
Remember, a toroidal transformer MODELS AND MEASURES as if the entire induced voltage takes place at the plane through the center of the core.
How and where it is actually induced is irrelevant to KVL so long as an unambiguous voltage measurement can be physically obtained. By modeling the core as being a mythical fluxgate or stargate or whatever you guys called it, then we get a physical unambiguous voltage measurement and KVL holds.
So how about it? A yes or no on the top picture question in this comment?
Dude, you know the answer is yes, KVL will measure to hold. We should be past this. This is an easy one!
Talking about the open ended air core transformer and it's half turns would be much more interesting!