An aluminium 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 (T=20°C). (a) Use the information in Table A2.1 to determine the resistivity of aluminium 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 A2.1. Resistivities and Temperature Coefficients of Resistivity for Various Materials Temperature Coefficient a [(°C)-¹] Material Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichromec Carbon Germanium Silicond Glass Resistivitya ( m) 1.59 × 10-8 1.7 X 10-8 2.44 X 10-8 2.82 × 10-8 5.6 × 10-8 10 × 10-8 11 × 10-8 22 × 10-8 1.00 × 10-6 3.5 x 10-5 0.46 2.3 × 10³ 1010 to 1014 3.8 x 10-3 3.9 × 10-3 3.4 x 10-3 3.9 × 10-3 4.5 X 10-3 5.0 × 10-3 3.92 × 10-3 3.9 × 10-3 0.4 x 10-³ -0.5 x 10-3 -48 × 10-³ -75 x 10-³
An aluminium 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 (T=20°C). (a) Use the information in Table A2.1 to determine the resistivity of aluminium 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 A2.1. Resistivities and Temperature Coefficients of Resistivity for Various Materials Temperature Coefficient a [(°C)-¹] Material Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichromec Carbon Germanium Silicond Glass Resistivitya ( m) 1.59 × 10-8 1.7 X 10-8 2.44 X 10-8 2.82 × 10-8 5.6 × 10-8 10 × 10-8 11 × 10-8 22 × 10-8 1.00 × 10-6 3.5 x 10-5 0.46 2.3 × 10³ 1010 to 1014 3.8 x 10-3 3.9 × 10-3 3.4 x 10-3 3.9 × 10-3 4.5 X 10-3 5.0 × 10-3 3.92 × 10-3 3.9 × 10-3 0.4 x 10-³ -0.5 x 10-3 -48 × 10-³ -75 x 10-³
Chapter9: Current And Resistance
Section: Chapter Questions
Problem 28P: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the...
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![4. An aluminium 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 (T=20°C).
(a) Use the information in Table A2.1 to determine the resistivity of aluminium 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 A2.1. Resistivities and Temperature Coefficients of Resistivity for Various Materials
Temperature
Coefficient a [(°C)-¹]
Material
Silver
Copper
Gold
Aluminum
Tungsten
Iron
Platinum
Lead
Nichromec
Carbon
Germanium
Silicond
Glass
Hard rubber
Sulfur
Quartz (fused)
Resistivitya (m)
1.59 × 10-8
1.7 X 10-8
2.44 X 10-8
2.82 × 10- -8
5.6 × 10-8
10 × 10-8
11 X 10-8
22 × 10-8
1.00 × 10-6
3.5 × 10-
-5
0.46
2.3 × 10³
10¹⁰ to 10¹4
1013
1015
75 X 1016
3.8 × 10-3
3.9 × 10-3
3.4 x 10-3
3.9 X 10-3
4.5 X 10-3
5.0 × 10-3
3.92 x 10-
-3
3.9 × 10-3
0.4 x 10-3
-0.5 X 10-3
-48 x 10-3
-75 X 10-3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3144732-cd8e-4d15-8b5e-c18450259e48%2Fbd9ecd96-82e5-48ac-ab48-38cf49919645%2F4t16pe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. An aluminium 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 (T=20°C).
(a) Use the information in Table A2.1 to determine the resistivity of aluminium 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 A2.1. Resistivities and Temperature Coefficients of Resistivity for Various Materials
Temperature
Coefficient a [(°C)-¹]
Material
Silver
Copper
Gold
Aluminum
Tungsten
Iron
Platinum
Lead
Nichromec
Carbon
Germanium
Silicond
Glass
Hard rubber
Sulfur
Quartz (fused)
Resistivitya (m)
1.59 × 10-8
1.7 X 10-8
2.44 X 10-8
2.82 × 10- -8
5.6 × 10-8
10 × 10-8
11 X 10-8
22 × 10-8
1.00 × 10-6
3.5 × 10-
-5
0.46
2.3 × 10³
10¹⁰ to 10¹4
1013
1015
75 X 1016
3.8 × 10-3
3.9 × 10-3
3.4 x 10-3
3.9 X 10-3
4.5 X 10-3
5.0 × 10-3
3.92 x 10-
-3
3.9 × 10-3
0.4 x 10-3
-0.5 X 10-3
-48 x 10-3
-75 X 10-3
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