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This will depend on the circuit configuration, and the wire.

For two equivalent types of wire (same covering, thickness, cross section, but different lengths) in a series circuit, where the surrounding on both wires is kept equivalent, heating will be equal per unit length (meaning the wires will reach the same temperature); The longer wire will use more power, which will cause more room heating (due to the longer length), but the wires themselves will reach the same temperature.

For the same two wires in a parallel circuit, the smaller wire will heat up more due to a larger current flow through it, thus a higher I^2 * R loss (heat loss) per unit length.

If two wires are put in parallel, and have different lengths, but are made to have the same resistance, the exact same amount of current will flow in each, but the shorter one will inherently have a higher resistance per unit length, causing it to become hotter than the longer wire.

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Q: Does the short or long wire get hottest in a circuit?
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