(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 8.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Material Resistivity" (0 · m) Temperature Coefficient of Resistivityb a [(°C)-11 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 1.00 x 10-6 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicond 2.3 x 103 -75 x 10-3 Glass 1010-1014 Hard rubber 1013 Sulfur 1015 Quartz (fused) 75 x 1016 (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 10-6 0 - 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. A (b) If the wire is heated to 34.0°C while the 8.00-V potential difference is maintained, what is the resulting current in the wire? A

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Chapter9: Current And Resistance
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Problem 42P: What current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103...
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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 8.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.)
Material
Resistivity" (N :m)
Temperature Coefficient of Resistivityb a [(°C)-']
a
Silver
1.59 x 10-8
3.8 × 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
-8-
2.82 x 10
3.9 x 10
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
1.00 x 10-6
0.4 x 10-3
Carbon
3.5 x 10-5
-0.5 x 10-3
Germanium
0.46
-48 x 10-3
Silicond
2.3 x 103
-3
-75 x 10
Glass
1010-1014
Hard rubber
*1013
Sulfur
1015
Quartz (fused)
75 x 1016
(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¬6 Q: 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.
A
(b) If the wire is heated to 34.0°C while the 8.00-V potential difference is maintained, what is the resulting current in the wire?
A
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 8.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Material Resistivity" (N :m) Temperature Coefficient of Resistivityb a [(°C)-'] a Silver 1.59 x 10-8 3.8 × 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 -8- 2.82 x 10 3.9 x 10 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 1.00 x 10-6 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicond 2.3 x 103 -3 -75 x 10 Glass 1010-1014 Hard rubber *1013 Sulfur 1015 Quartz (fused) 75 x 1016 (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¬6 Q: 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. A (b) If the wire is heated to 34.0°C while the 8.00-V potential difference is maintained, what is the resulting current in the wire? A
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