Have you seen this video about KVL/Faraday's law and non-conservative field?

https://youtu.be/pUsdiIl1Kyg

Unfortunately this guy's "intuition" is taking him to the wrong conclusions.

Although he started with the right assumptions, he was giving various hints that sooner or later along the video he would utter some serious bullshit. And he does that exactly @9:36 when he writes e

_{lp} - iR = 0.

And he concludes, very pseudo-scientifically that "This is a

**mix**, actually, of Kirchhoff and Faraday law, because you don't see this [e

_{lp}] as a discrete component here in the circuit but it is hovering around and inducing this voltage in the loop".

Note how the people who like to assert that Kirchhoff law holds for non-conservative fields give each one a different explanation for the incongruence between their claims and the results that the phenomenon is proving right in front of their noses.

He said what he said that because he knows that the only law capable of explaining the phenomenon of induction is Faraday's law. And on top of that, there's no component on the circuit to justify Kirchhoff's EMF. But he can't accept that Kirchhoff doesn't hold for non-conservative fields.

So let's correct his mistakes.

1)

**e**_{lp} - iR = 0 violates Kirchhoff's law, because Kirchhoff is adamant about stating that the EMF (e

_{lp}) has to happen along the path of the circuit at a different place where the voltage drops occur. The EMF cannot happen inside the wire, because the wire (if considered ideal) won't allow the existence of an electric field inside it (its resistance is zero). So it happens inside the resistor, which does allow the existence of an electric field inside it.

Following Kirchhoff's instructions on how to verify his law, we have:

i*0 + i*R = e

_{lp} != 0.

¡Hasta la vista, Kirchhoff!

Now let's jump to @21:30

2)

**The voltage on an impedance is ONE no matter how you measure it.** Impedances are measured where there's no varying magnetic flux, so the way you measure it counts.

3)

**In non conservative circuits both Kirchhoff and Faraday Laws come into effect and need to be included in the analysis.**Nope. In this case Kirchhoff fails and Faraday holds. Kirchhoff is just a special case of Faraday's law when the varying magnetic flux is zero.

4)

**When calculating and/or measuring voltages in a non conservative circuits, care should be taken not to include non relevant magnetic flux changes.**All magnetic flux changes that happen in the area bounded by the circuit count. All the magnetic flux changes that happen outside the area bounded by the circuit don't count. Faraday's law. As simple as that.

The four equations that explain the behavior of any electromagnetic phenomenon are Maxwell's (which include Faraday's law). They have been proven time and again for more than a 100 years. So there's no place for "intuition" here, i.e., "alternative" explanations.

Everyone who tries to get around them ends up being cursed.