I beat this topic to death years ago, and I think proved beyond a doubt that KVL holds in all cases.
ElectroBOOM is absolutely correct, and Lewin is simply being short-sighted and stubborn.
ElectroBOOM went to great lengths to explain things, but another easier way in my opinion is to simply remove the measurement probes from the experiment. How do we do this? Easy, just bring your probe leads down from a hook situated above the ring so that the leads are placed across the resistors and wire segments perpendicular to the plane the ring is situated. I would suggest at least 1m above the apparatus.
This effectively removes the probes and leads from the experiment apparatus and will allow you to not only measure the actual voltage across the 2 resistors, but across the 2 wire segments as well. If one does this and then adds all 4 voltages (going the same direction) in the loop, the result will be close to zero.
But mistakes still could have been made,and i think they were.
Walter Lewin has been at this sort of stuff for years on end,and he knows his stuff.
You also know your way around electronics,that is for sure.
But if the great Walter Lewin can make a mistake,is it no possible you could have as well?.
I would like to draw your attention to the following test i carried out.
The circuit is hard to draw out,due to multiple loops going through a toroid,so i will explain it instead.
If it is true that all voltage sums around a loop equal 0,then the same should be true for multiple loops, as 1 x 0 or 10 x 0 =0
In the video,i took two identical lengths of wire of the same size.
I soldered the 100 ohm resistor to one end of one length of wire. I glued the resistor to the former,and then wound the wire around the former. This gave me 15 turns. I then soldered the 1K ohm resistor to the end of that wire. I then soldered the second length of wire to the other end of the 1K resistor,and wrapped the second length of wire around the former in the same direction as the first. This of course gave me another 15 turns,where i then soldered that end to the leftover end of the 100 ohm resistor.
Now we have a total of 30 turns going through the hole of the toroid,which means 15 turn on each side of each resistor.
As we have 2 lots of 15 turns,the voltages across each of those 15 turns will cancel each other out,and give us a value of 0v. This leaves only the two resistor voltages,which must also sum to 0v in order for Kirchhoff's loop rule to hold. A visual method was used instead of using the scope,in that an LED was placed across each resistor.
As you can clearly see in the video,1 LED lights brightly,and the other dose not.
Using your measurement method at each of the 4 measurement point's,we can clearly see that the sum voltage is not 0,and Kirchhoff's loop rule dose not apply.
https://www.youtube.com/watch?v=Lm0gGQQtcwsBrad
Never let your schooling get in the way of your education.