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A resistor is heated by any power source, AC or DC. Voltage is joules per coulomb. Current is coulombs per second. Voltage times current is work in watts or joules per second. This is heat transfer, and is manifest by the resistor getting warm. Actually, any device that dissipates power will get warm. Some of the heat energy is consumed in doing other work, such as in producing light in a light bulb, but much of it also produces heat, also such as in producing heat in a light bulb.

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