This actually has to do with how toasters know when they’re done, and why you get such different results using a toaster that’s cold, vs one that just made toast.
Most toasters (almost all of them) don’t have a timer in them, but rather a bimetallic strip. All materials experience thermal expansion, they expand when heated by a certain amount (ΔL = αLΔΤ) change in length is equal to the expansion constant times total length times change in temperature. Different materials have a different constant, so if we put two different metals next to each other and attach them at top and bottom, as it heats up, one metal expands faster than the other, causing the bimetallic strip to bend away from the side with the faster expanding metal. This is also how thermostats work (until smart thermostats came around).
So once that bimetallic strip gets to a certain temperature, it bends far enough to touch an electrical contact, completing a circuit causing your toast to pop up and turn off the toaster (or turn ac/heat on or off for the thermostat’s case, but with a magnet to add some buffer to the temp). The dial for darkness of your toast on the toaster, simply changes how far that bimetallic strip has to bend to turn off the toaster. If there’s only one piece of bread in the toaster, the bread can’t absorb the same amount of heat as 2 pieces, so the bimetallic strip heats up faster, resulting in less time the toaster stays active.
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