(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.23 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Material Resistivity* (2 m) Temperature Coefficient of Resistivity a [(°C)-¹] 1.59 x 10-8 3.8 x 10-3 1.7 x 10-8 3.9 x 10-3 2.44 x 10-8 3.4 x 10-3 2.82 x 10-8 3.9 x 10-3 5.6 x 10-8 4.5 x 10-3 10.0 x 108 5.0 x 10-3 11 x 10-8 3.92 x 10-3 Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome Carbon Germanium Silicon Glass Hard rubber Sulfur Quartz (fused) 22 x 10-8 1.00 x 10-6 3.5 x 10-5 0.46 2.3 x 10³ 1010-1014 *1013 1015 75 x 1016 3.9 x 10-3 0.4 x 10-3 -0.5 x 10-3 -48 x 10-3 -75 x 10-3 (a) All values at 20°C. All elements in this table are assumed to be free of impurities. (b) See the section "Resistance and Temperature". (c) A 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 x 10-60 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. (b) If the wire is heated to 34.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire? A

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(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.23 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.)
Material
Resistivity (2. m)
Temperature Coefficient of Resistivity a [(°C)-¹]
1.59 x 10-8
Silver
Copper
Gold
Aluminum
Tungsten
Iron
Platinum
Lead
Nichrome
Carbon
Germanium
Silicon
Glass
Hard rubber
Sulfur
Quartz (fused)
1.7 x 10-8
2.44 x 10-8
2.82 x 10-8
5.6 x 10-8
10.0 x 10-8
11 x 10-8
22 x 10-8
1.00 x 10-6
3.5 x 10-5
0.46
2.3 x 10³
1010-1014
*1013
1015
75 x 1016
3.8 x 10-3
3.9 x 10-3
3.4 x 10-3
3.9 x 10-3
4.5 x 10-3
5.0 x 10-3
3.92 x 10-3
3.9 x 10-3
0.4 x 10-3
-0.5 x 10-3
-48 x 10-3
-75 x 10-3
(a) All values at 20°C. All elements in this table are assumed to be free of impurities.
(b) See the section "Resistance and Temperature".
(c) A 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 x 10-60 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.
(b) If the wire is heated to 34.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?
Transcribed Image Text:(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.23 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Material Resistivity (2. m) Temperature Coefficient of Resistivity a [(°C)-¹] 1.59 x 10-8 Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome Carbon Germanium Silicon Glass Hard rubber Sulfur Quartz (fused) 1.7 x 10-8 2.44 x 10-8 2.82 x 10-8 5.6 x 10-8 10.0 x 10-8 11 x 10-8 22 x 10-8 1.00 x 10-6 3.5 x 10-5 0.46 2.3 x 10³ 1010-1014 *1013 1015 75 x 1016 3.8 x 10-3 3.9 x 10-3 3.4 x 10-3 3.9 x 10-3 4.5 x 10-3 5.0 x 10-3 3.92 x 10-3 3.9 x 10-3 0.4 x 10-3 -0.5 x 10-3 -48 x 10-3 -75 x 10-3 (a) All values at 20°C. All elements in this table are assumed to be free of impurities. (b) See the section "Resistance and Temperature". (c) A 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 x 10-60 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. (b) If the wire is heated to 34.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?
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