You wiggled out of a straight question with fancy wording.
It is not my nature to "wiggle out" of technical questions. The question did not make sense to me as posed and it still does not.
If you have a problem with my wording, then point out what is illogical in it.
Lenz Law is the minus sign in the Faraday's Law of induction ℰ =
-dΦ/dt
As such, Lenz Law is not concerned with drag thus it cannot be consistent/inconsistent with drag in principle.
The common Lenz Law is only concerned with the flux changes and the direction of the induced EMF and current and maybe the internal flux, arising as the result of these changes.
This question has no answer because it does not make sense.
It is wrong to answer "No" to it and it is wrong to answer "Yes" to it.
I asked if drag is *consistent* with Lenz’s law, not if it is *caused* by it.
Yes I know, but that does not make sense because the Lenz Law does not define drag. Also the question is ambiguous on another front because it does not specify whether you are asking about instantaneous drag or integrated drag.
You changed the terms of the question to avoid answering,
Not to avoid but to make sense of it.
then buried the dodge under textbook formalism and invented categories like “Quantitative Lenz Law.”
You don't have to use a fringe concept like the QLL (although that is the key to understanding everything about induction). QLL does not change the answer but it is a huge reasoning shortcut. It's your prerogative to ignore fringe concepts and muddle through the problem using only the mainstream ones ...but I find that somewhat out of your self-declared character.
You can ask me about the common Lenz Law that they teach in mainstream schools, but that Law is concerned only with:
1) the rate of change change of the total flux threading a coil.
2) the direction and magnitude of the induced EMF (arising as a result of #1)
3) and maybe the direction of internally generated flux (arising as a result of #1)
The common Lenz Law says nothing about the magnitude of the induced current and only indirectly implies its direction via Ohm's Law. BTW: Ohm's Law i = ℰ/R diverges to infinity (blows up) for the superconducting case because of division by zero and yields false current values in low-resistance cases (long before blowing up) because it does not account for the opposing flux which is internally generated by the current i = ℰ/R.
This is what Grok AI "thinks" about it.
So if you ask me about the consistency of the Lenz Law with anything except these 3 variables, then you will get a big fat
N/A from me.
That’s not clarity, that’s obfuscation.
No, that's precision.
Drag proportional to dissipation is entirely consistent with Lenz’s law
N/A, because drag is not one of the three variables that Lenz Law is concerned with.
Also what type of drag are you referring to ? Instantaneous or integrated over distance (or angle) ? Be precise...
the induced current opposes flux change,
Almost.
The induced current generates an opposing internal flux that opposes total flux change.
and when dissipation exists that opposition manifests as drag. Period.
Not so fast.
The conversion of coil's current into heat or other forms of energy, decreases the internally generated flux and as a consequence indirectly decreases the instantaneous forces acting on the magnet. These forces don't always oppose the magnet's motion. In low resistance coils (not necessarily superconductive) these forces can also provide a kinetic boost to the magnet. Resistive dissipation upsets the balance of these forces when integrated over a distance (or angle) creating a net drag. But it is not the Lenz Effect that imbalances these forces - it is the conversion (incl. dissipation) performed by a non-zero impedance. That why it is the impedance that is responsible for the net drag - not the Lenz Law (common or quantitative).
Calling the question “conceptually incorrect” is just a way to save face.
No, your question really was conceptually incorrect as it asked about a variable that the Lenz Law is not even concerned with.
You already conceded that “Resistive Drag” isn’t universal, which was the crux of my point.
No, the crux of your point was the defense of the phrase "Lenz Drag" as conceptually correct.
As a side effect of the discussion about the Lenz Effect you have learned that Resistance is only one of two components of Impedance and "Impedance Drag" is a wider encompassing phrase. Congratulations, "Resistance Drag" is helluva more correct than "Lenz Drag" and "Impedance Drag" is even better because it is covers more cases ...and I agreed with you about it but not as a result of previous disagreement.
Have I ever claimed that Resistance is THE ONLY cause of the force imbalance on approach and departure which is the root cause of net drag ?
And let it be known, after attempting to relentlessly school me that Lenz Drag should be "Resistive Drag" , you ended up conceding your own suggested term was not a proper universal term to choose.
Yes, I wrote many times that it is the Resistance that is responsible for the net drag (because in most machines, it is) - not the Lenz Effect, but I don't think I ever wrote that ONLY resistance is responsible for it. Anyway find me a quote and I will stand corrected.
I don't remember ever disagreeing with you that Resistance is not THE ONLY variable affecting drag. If I didn't, then there was no argument about it between us and thus no concession. Find me a quote of me writing that resistance was the only cause and prove me wrong.
The disagreement between us was about the conceptual validity of the phrase "Lenz Drag" and direction of induced current and direction of forces.
Dressing it up in semantic gymnastics doesn’t change the physics.
I am not dressing up anything. I am explaining induction to you as precisely as I can on a public forum for the entire world to see. I try to answer your questions even of they don't make sense.
You needed that education because in the beginning you were believing that the current in the coil always changes direction as a magnet's pole goes past it (or through it) and that the magnet is always attracted back to the coil in the departure phase and you still believe that the Lenz effect is responsible for creating the imbalance between the approach forces and departure forces which is the root cause of the net drag. I set out to correct these misconceptions lest you lead yourself and newbies down the garden path. Also, I never called you a newbie - if you think that then find a quote of me writing it.
"Verpies wasn’t “discovering” anything new; he was reframing established points with semantic twists (“flux vs motion,” “field vs flux,” “instantaneous vs integrated”) to make it look like he was correcting errors. In reality, those distinctions are already embedded in the standard understanding Grok presented."
I never claimed that I was discovering something new or revolutionary. ...but it was new to you and Mags.
This is old stuff to me and I had this conversation with many guys like you over the years (that's why my arguments are so honed).
The most difficult one was MarkE but he was more open to learning new stuff and eventually has built a proper mental picture of induction for himself. Till this day I remember that the point of contention with him was that in an ideal shorted coil the magnitude of the induced current does
not depend on the speed of external flux changes dΦ/dt and that the induced current is not dependent on magnetic flux density (B) but on total threading flux change (ΔΦ). I have gone on for weeks with him about that.
Field (B) vs. flux (Φ) distinction matters because the induced EMF is always ℰ = -dΦ/dt by definition. Writing ℰ = -dB/dt is a simplification that holds only when B is uniform and the flux modifications by induced currents are ignored. Instantaneous vs. integrated drag makes even a bigger difference as instantaneous drag can be very high while integrated net drag can be zero. If these stark mathematical inequalities are "semantic twists" then I don't know what substantive distinctions are.
This is what Grok AI really "thinks" about them.
Anyway, if these distinctions were already embedded in the standard AI understanding, they certainly were not expressed.