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What length of copper wire 2 mm in diameter is needed to make a 12 ohm...

What length of copper wire 2 mm in diameter is needed to make a 12 ohm resistor at 23 degrees C.
Wire Length = ? meters
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Answer #1

The resistivity of Cu at 20oC is 1.68*10-8 oC. Thus the resistivity at 23oC will be given by the equation

Where is the resistivity, temperature co-efficient = 0.0039 K-1

The resistance is given by

where l is the length and d is the diameter and A is the cross sectional area

Answer: 2217.59 m or 2.218 km

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