Answer to Question #190244 in Civil and Environmental Engineering for John Prats

Question #190244

An aluminum wire of diameter D and length L has a resistance of 1.5 Ω. Find the length of another aluminum wire at the same temperature if its diameter is 2D and its resistance is 6 Ω.


1
Expert's answer
2021-05-18T07:13:02-0400

Wire of the first case , Aluminum has the following information .

Length = L

Resistance = 1.5

Diameter = D

Area A=


R= ,


=

= Resistivity is constant for all size of one type of material at a particular temperature .


Therefore the second aluminum also has the same resistivity as=


the second aluminum piece has the following information,


R= 6 Diameter = 2D ,

Area =


Length of the wire = =





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