An aluminum wire of diameter D and length L has a resistance of 1.5 N. Find the length of another aluminum wire at the same temperature if its diameter is 2D and its resistance is 6 N. (16L)

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Resistivities and Temperature Coefficients of Resistivities for Some Materials
Material
Resistivity (N· m)
Temperature Coefficients a (/
°C)
3.8 x 10-3
3.9 x 10-3
Silver
Copper
Gold
1.59 x 10-8
1.7 x 10-8
2.44 x 10-8
2.82 x 10-8
3.4 x 10-3
Aluminum
3.9 x 10-3
Tungsten
5.6 x 10-8
10 x 10-8
4.5 x 10-3
5.0 x 10-3
3.92 x 10-3
Iron
Platinum
11 x 10-8
22 x 10-8
Lead
3.9 x 10-3
0.4 x 10-3
-0.5 x 10-3
Nichrome
1.0 x 10-
3.5 x 10-5
Carbon
Germanium
0.46
-48 x 10-3
-75 x 10-3
Silicon
2.3 x 105
1014 to 1015
Glass
Hard Rubber
-1015
Sulfur
1015
Quartz
75 x 1016
Transcribed Image Text:Resistivities and Temperature Coefficients of Resistivities for Some Materials Material Resistivity (N· m) Temperature Coefficients a (/ °C) 3.8 x 10-3 3.9 x 10-3 Silver Copper Gold 1.59 x 10-8 1.7 x 10-8 2.44 x 10-8 2.82 x 10-8 3.4 x 10-3 Aluminum 3.9 x 10-3 Tungsten 5.6 x 10-8 10 x 10-8 4.5 x 10-3 5.0 x 10-3 3.92 x 10-3 Iron Platinum 11 x 10-8 22 x 10-8 Lead 3.9 x 10-3 0.4 x 10-3 -0.5 x 10-3 Nichrome 1.0 x 10- 3.5 x 10-5 Carbon Germanium 0.46 -48 x 10-3 -75 x 10-3 Silicon 2.3 x 105 1014 to 1015 Glass Hard Rubber -1015 Sulfur 1015 Quartz 75 x 1016
3. An aluminum wire of diameter D and length L has a resistance of 1.5 . Find the length of
another aluminum wire at the same temperature if its diameter is 2D and its resistance is 6 N.
(16L)
Transcribed Image Text:3. An aluminum wire of diameter D and length L has a resistance of 1.5 . Find the length of another aluminum wire at the same temperature if its diameter is 2D and its resistance is 6 N. (16L)
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