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A student connects a variable voltage source to an incandescent bulb with a thin tungsten filament. Then the student determines the voltage required to produce certain values of current through the filament.

The best explanation for why these data are not linear is because


the resistivity of the filament decreases as the bulb glows brighter.


the appropriate relationship connected to the curve here is: $V={ I }^{ 2 }\times R$.


the filament in the incandescent bulb must not be following the laws of energy conservation.


the resistivity of the filament increases as the filaments temperature increases.

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