An aluminum wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0°C. Assume one free electron per atom. (a) Use the information in Table to determine the resistivity of aluminum at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a 2.00-m length of the wire to produce the stated electric field? TABLE 26.2 Resistivities and Temperature Coefficients of Resistivityfor Various MaterialsTemperatureCoefficient a [(°C)-']MaterialResistivitya (N • m)Silver1.59 X 10-83.8 × 10-31.7 × 10-83.9 X 10-3СоpperGold2.44 X 10-83.4 X 10-3Aluminum2.82 × 10-83.9 X 10-3Tungsten5.6 X 10-84.5 X 10-3Iron10 X 10-85.0 X 10-3Platinum11 X 10-83.92 X 10-3Lead22 X 10-83.9 X 10-31.00 X 10-63.5 X 10-5Nichrome0.4 X 10-3Carbon-0.5 × 10-3Germanium0.46-48 X 10-3Silicond2.3 × 1031010 to 1014-75 X 10-3GlassHard rubber1013Sulfur1015Quartz (fused)75 X 1016* All values at 20°C. All elements in this table are assumed to be free of impurities.b See Section 26.4.CA nickel-chromium alloy commonly used in heating elements. The resistivity of Nichromevaries with composition and ranges between 1.00 x 10-6 and 1.50 × 10-6N · m.d The resistivity of silicon is very sensitive to purity. The value can be changed by severalorders of magnitude when it is doped with other atoms.

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Answered: TABLE 26.2 Resistivities and…

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An aluminum wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0°C. Assume one free electron per atom. (a) Use the information in Table to determine the resistivity of aluminum at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a 2.00-m length of the wire to produce the stated electric field?

TABLE 26.2 Resistivities and Temperature Coefficients of Resistivity
for Various Materials
Temperature
Coefficient a [(°C)-']
Material
Resistivitya (N • m)
Silver
1.59 X 10-8
3.8 × 10-3
1.7 × 10-8
3.9 X 10-3
Соpper
Gold
2.44 X 10-8
3.4 X 10-3
Aluminum
2.82 × 10-8
3.9 X 10-3
Tungsten
5.6 X 10-8
4.5 X 10-3
Iron
10 X 10-8
5.0 X 10-3
Platinum
11 X 10-8
3.92 X 10-3
Lead
22 X 10-8
3.9 X 10-3
1.00 X 10-6
3.5 X 10-5
Nichrome
0.4 X 10-3
Carbon
-0.5 × 10-3
Germanium
0.46
-48 X 10-3
Silicond
2.3 × 103
1010 to 1014
-75 X 10-3
Glass
Hard rubber
1013
Sulfur
1015
Quartz (fused)
75 X 1016
* All values at 20°C. All elements in this table are assumed to be free of impurities.
b See Section 26.4.
CA nickel-chromium alloy commonly used in heating elements. The resistivity of Nichrome
varies with composition and ranges between 1.00 x 10-6 and 1.50 × 10-6N · m.
d The resistivity of silicon is very sensitive to purity. The value can be changed by several
orders of magnitude when it is doped with other atoms.

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