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Nov 7, 2023 at 8:06 comment added Russell McMahon @Neil_UK Yes. Even a few percent works woners. Lonnnnng ago people used to make startup surge reducers. Memory said that just those made a very great difference. || Meaurement is what I'd usually do :-) .
Nov 7, 2023 at 6:22 comment added Neil_UK @RussellMcMahon Lots of mechanisms, so measure it, and fit it. The main takeaways are that the current exponent is a long way from linear, and the lifetime exponent is huge.
Nov 7, 2023 at 1:05 comment added Russell McMahon @Mattman944 Without vast thinking (rushing): Sounds right. Rear of brain niggles. Changing temperature of filament affects resistance (of course). Power loss through enevelope is 4th power of delta t related, and so temperature and so resistance vary with wattage with differing laws. Then there is envelope to ambient, which is less variable. (Convection also matters in m=both cases, almost certainly to a lesser extent). There are so many mechanisms with different exponents and laws that I suspect that "it's complex" :-). Maybe not.
Nov 6, 2023 at 14:32 comment added Mattman944 @RussellMcMahon - Note that the current exponent and the power exponent should differ by exactly 1. They are both approximations, and apparently two people came to slightly different conclusions. See my answer.
Nov 6, 2023 at 8:58 history edited Neil_UK CC BY-SA 4.0
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Nov 5, 2023 at 12:22 comment added Russell McMahon Nice reference. From that page this is useful. Note that that they say Power is proportional to V^1.6 BUT they also say " ... The relationships above are valid for only a few percent change of voltage around standard rated conditions, ...".
Nov 5, 2023 at 12:01 vote accept Dennis
Nov 5, 2023 at 10:16 history answered Neil_UK CC BY-SA 4.0