No, there's where you fail. If it's reading 1.5 ohms, it's 1.5 ohms. Period.
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No, there's where you fail. If it's reading 1.5 ohms, it's 1.5 ohms. Period.
No, we're not agreeing. It's not two separate resistors. When you combine the two resistors it becomes a single resistor. Sure, if you take one of the coils out of the picture it's no longer a single 0.5 resistor, it's a single 1 ohm resistor. It's about coil mass. Math is math, but it's an abstraction of a real world situation (plus I'm sure one who knows more about the math of these things will show that were actually dealing with a single resistor).I am absolutely acknowledging it's read as a single resistor.
Back to your example: It can't climb to 1.5 ohms unless each resistor inside it, climbs to 3 ohms.
Are we really not agreeing on this point?
By what sorcery are those two resistors exempt from following Ohm's Law? They don't even know about the "single" resistor they're a part of. Know what I'm sayin'.
No, the two resistors inside this parallel circuit, what are they reading (when the combined circuit reads as 1.5 ohms)?
I need to hear a number, an actual value, of what you think the two resistors in this circuit are (each), in ohms, when the circuit reads 1.5.
One circuit, two resistors inside it.
For all intents and purposes, there is not two resistors inside a parallel circuit. There is (wait for it...) ONE. I don't know how to state this any more clearly.
Reason:
BEATING A DEAD HORSE!
You're acknowledging there are two resistors and that it reads as one at "rest" (it's never really resting because of room temp fluctuations, but if that helps to visualize it). We agree. So take that a step further and agree that the physics of those laws don't mystically change as it heats and cools.
If you were to read the ohms on each resistor independently, while it was heating and cooling, It still has to follow the math of the resistors in parallel.
That means for every one ohm of resistance change the single circuit reports, two ohms of resistance must change in each separate coil of the circuit.
The math doesn't change just because interesting stuff is happening to the coils.
The problem here is that you refuse to accept the facts.Agreed.
I really did want to have a fruitful, interesting discussion about a topic a lot of folks are talking about and having issues with now that TC has become so popular.
Sorry, all.
I'll close it.
Edit: Yikes, I can't seem to lock the thread.
All I can do is stop bumping the thread myself, which I will do.
As for answering the question this thread set out to answer: "Do Dual Coils Affect TC Accuracy?" I've personally arrived at the conclusion, and put forth my best reasoning as to why, that "Yes, they do."
Others appear to disagree.
Do we at least agree that two 1-ohm resistors in parallel read as .5-ohms by an ohm meter (a mod)?
And that if the combined resistors heated up such that they read as 1.5 ohms, that each resistor would have to be 3 ohms (and therefore as hot as 3 ohms)?
And that the reverse of that, as it cools, is also true?
I'll agree to that.
And if the resistors were ni200 the dual coil(1.5Ω) it would be 353.33°C.
1.5Ω = 0.5Ω[1+(0.006(T-20°C))]And if you did the calculations on each individual resistor(3Ω) it comes out to be 353.33°C.
3 = 1+(0.006(T-20°C))
2 = (0.006(T-20°C))
333.33 = T-20°C
353.33°C = T
3Ω = 1Ω[1+(0.006(T-20°C))]Now we let the dual coil cool 1 milliohm as you said.
3 = 1+(0.006(T-20°C))
2 = (0.006(T-20°C))
333.33 = T-20°C
353.33°C = T
1.499Ω = 0.5Ω[1+(0.006(T-20°C))]And here is the individual coil. And just like you said, because of ohm's law it will drop 2 milliohms.
2.998Ω = 1+(0.006(T-20°C))
1.998 = (0.006(T-20°C))
333.00 = T-20°C
353.00°C = T
2.998Ω = 1Ω[1+(0.006(T-20°C))]
2.998 = 1+(0.006(T-20°C))
1.998 = (0.006(T-20°C))
333.00 = T-20°C
353.00°C = T
Dual coils that are the same material/resistance will behave like a single coil and will not require any tcr adjustment.
The problem occurs when the coils aren't perfectly matched. The lower resistance coil will get the most current and get the hottest but the fractional resistance of both coils will not increase to match the temperature increase of that low ohm coil. The imbalance gets lower as the hotter (lower ohm) coil heats up more and its resistance rises. It will always be hotter than the other coil. This is a nasty, non-linear problem that I don't feel like solving. The differences would be even more extreme with a pair of clapton coils made with two different metals (Ti and Kanthal). Dual coils have to be very precisely matched to get good performance with TC.
(tldrI think that mismatched dual coils are the cause of the unexpected behavior. Matched dual coils behave like twisted pair coils which are like lower gauge coils (to a first approximation).
I was just trying to show, just because the atty dropped 1 ohm and and the individual coil dropped 2 ohms, nothing cooled faster than the other because they are the same temperature.
48 years old, can't believe I still remember algebra.