Resistance and Heat: The Truth about Wire Resistance in Circuits

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is this statement true:
the hotter the wire the greater the resistance (when relating to circuits)
 
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For most materials yes.
It would e.g. be correct for metals; but not neccesarily for a semiconductor or an insulator.
Although you wouldn't normally use these as conductors in a circuit.
 
Note that the heating power varies as I-squared R, so I would first say "the hotter the wire, the greater the current".
Bob S