No, again, tcr is the physical property of a wire material and it does not change due to the number of coils. Dual coils (usually) have more coil material, which amounts to an increased heat flux, which means that more power is needed to fire up the coils properly. The same is true for a single coil using e.g. 20 ga wire vs one using 32 ga wire (assuming same number of wraps). The heat flux is significantly higher with the 20 ga coil but you wouldn't suggest that the two coils, being of the same material, have different tcr, right?
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Atroph and I have discussed (and even debated at one point) this topic at length in the RX200 thread we darn near hijacked (my apologies to all for that).
He's won me over and I feel I understand it now.
It's clear to me, based on the math of it, that the
TCR of the circuit does "change" (so to speak) with a dual parallel config.
Forget the TCR of a material (which doesn't change), it's the combined circuit as a whole that matters.
As for Heat Flux, it lowers, not raises in a dual coil config.
If you look at the Steam Engine Coil Wrapping tool you can see this in action:
E.g. build: Ti, 28 gauge, Target Resistance .5 ohms (about 8 wraps for single, 16 wraps for dual) has a Heat Flux (how hot it gets) at 30 watts of 345.
Same build (same Target Resistance) in dual coil the Heat Flux drops to 86, at the same 30w.
Because the mod doesn't know it's a dual coil, only knows the Target Resistance at a given snapshot in time, it's getting back resistance changes now driven by a lower Heat Flux than it would have for a single coil.
That same wattage (at a snaphot in time) on the dual coil, viewed as a whole from the "fooled" mod, ends up reporting back less change in resistance (because the Heat Flux is lower).
Because it's reporting back less change in resistance, it's almost like a new material is present (the "circuit" becomes this new "material" so to speak).
Effectively, the TCR "changes" (from the mod's point of view) when hitting a dual coil at the same Target Resistance.
It's not the material that's changing, it's the parallel (rather than series) circuit of the dual coil.