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One way to look at the purpose of a resistor is as a device built to dissipate
electrical energy. Some (but usually not all) of the energy of the current through
a circuit is always dissipated when it flows through a resistor. The energy lost
leaves the resistor in the form of heat.

The number of joules of electrical energy lost and heat dissipated by the resistor is

(amperes of current through the resistor)2 x (ohms of resistance) x (seconds of time it continues)

If you work with resistors often, or see several of them inside an old radio, you notice
that there are physically big ones and physically small ones. The size of the resistor
isn't related to the number of ohms of resistance it has. The physical size is related
to how fast it can dissipate energy (heat) without melting or burning up. A bigger
resistor has more air around it, so it can get rid of heat faster.

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