SOLUTION: A wire of 50 meters in length ans 2mm^2 in cross section has a resistance of 0.56 ohms. A 100m length of wire of the same material has a resistance of 2 ohms at the same temperatur

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Question 1086765: A wire of 50 meters in length ans 2mm^2 in cross section has a resistance of 0.56 ohms. A 100m length of wire of the same material has a resistance of 2 ohms at the same temperature. Find the diameter of the wire.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The resistance is proportional to the
volume of material
Convert meters to mm
mm
mm3
-------------------------------
Let = the area of the 2nd wire in mm2

mm3 = volume of the 2nd wire
-------------------------------------------

mm3 = volume of the 2nd wire
------------------
I can use a propotion:





mm
mm
The diameter of the wire is 2.1324 mm
------------------
check:




close enough

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