(a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Resistivity (A - m) Temperature Coefficient of Resistivity [(°C)-1] Material Silver 1.59 x 10-8 3.8 x 10-3 Copper 1.7 x 10-8 3.9 x 10-3 Gold 2.44 x 10-8 3.4 x 10-3 Aluminum 2.82 x 10-8 3.9 x 10-3 Tungsten 5.6 x 10-8 4.5 x 10-3 Iron 10.0 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 Nichrome 150 x 10-8 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicon 640 -75 x 10-3 Glass 1010-1014 Hard rubber *1013 Sulfur 1015 Quartz (fused) 75 x 1016 A nickel-chromium alloy commonly used in heating elements. A (b) If the wire is heated to 34.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter28: Current And Resistance
Section28.3: Current Density
Problem 28.3CE
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(a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.)
Resistivities and Temperature Coefficients of Resistivity
for Various Materials (at 20°C)
Material
Resistivity
Temperature Coefficient
of Resistivity [(°C)-1]
(w. u)
Silver
1.59 x 10-8
3.8 x 10-3
Copper
1.7 x 10-8
3.9 x 10-3
Gold
2.44 x 10-8
3.4 x 10-3
Aluminum
2.82 x 10-8
3.9 x 10-3
Tungsten
5.6 x 10-8
4.5 x 10-3
Iron
10.0 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
Nichrome
150 x 10-8
0.4 x 10-3
Carbon
3.5 x 10-5
-0.5 x 10-3
Germanium
0.46
-48 x 10-3
Silicon
640
-75 x 10-3
Glass
1010-1014
Hard rubber
z1013
Sulfur
1015
Quartz (fused)
75 x 1016
A nickel-chromium alloy commonly used in heating elements.
A
(b) If the wire is heated to 34.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
Transcribed Image Text:(a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.0 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Resistivities and Temperature Coefficients of Resistivity for Various Materials (at 20°C) Material Resistivity Temperature Coefficient of Resistivity [(°C)-1] (w. u) Silver 1.59 x 10-8 3.8 x 10-3 Copper 1.7 x 10-8 3.9 x 10-3 Gold 2.44 x 10-8 3.4 x 10-3 Aluminum 2.82 x 10-8 3.9 x 10-3 Tungsten 5.6 x 10-8 4.5 x 10-3 Iron 10.0 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 Nichrome 150 x 10-8 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicon 640 -75 x 10-3 Glass 1010-1014 Hard rubber z1013 Sulfur 1015 Quartz (fused) 75 x 1016 A nickel-chromium alloy commonly used in heating elements. A (b) If the wire is heated to 34.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
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