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Only if the resistive heater in question is DC or AC with reactive power compensation
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A purely resistive heater, by definition, has no reactive component so there's no reactive power considerer.

The 0.1% mentioned might be the light that the project produces.

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Assuming you're not in an endless vacuum, the light will also become heat.
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I think it's fair to separate it from the direct heat generation because if you look at second order effects like that, pretty much all of the energy ends up being radiated away as infrared in space.
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It's hardly a second order effect if you're talking about heating a space and the light is absorbed by the walls of that space.
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It's quite literally a second order effect. The first order effect is light generation, and a consequence of that effect is heat generation via light absorption.
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Depends on where you want to draw the lines. Heating the room and emitting light could both be a second-order effect if you want to say that the first order is heating up the actual heater.
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Nice point! Would it be the same for sound that doesn't escape a room?
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