(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.29 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 (Ω · m) Temperature Coefficient of Resistivity [(°C)−1] Silver 1.59 ✕ 10−8 3.8 ✕ 10−3 Copper 1.7 ✕ 10−8 3.9 ✕ 10−3 Gold 2.44 ✕ 10−8 3.4 ✕ 10−3 Aluminum 2.82 ✕ 10−8 3.9 ✕ 10−3 Tungsten 5.6 ✕ 10−8 4.5 ✕ 10−3 Iron 10.0 ✕ 10−8 5.0 ✕ 10−3 Platinum 11 ✕ 10−8 3.92 ✕ 10−3 Lead 22 ✕ 10−8 3.9 ✕ 10−3 Nichromea 150 ✕ 10−8 0.4 ✕ 10−3 Carbon 3.5 ✕ 10−5 −0.5 ✕ 10−3 Germanium 0.46 −48 ✕ 10−3 Silicon 640 −75 ✕ 10−3 Glass 1010–1014 Hard rubber ≈1013 Sulfur 1015 Quartz (fused) 75 ✕ 1016 (b) If the wire is heated to 32.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.29 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 (Ω · m) Temperature Coefficient of Resistivity [(°C)−1] Silver 1.59 ✕ 10−8 3.8 ✕ 10−3 Copper 1.7 ✕ 10−8 3.9 ✕ 10−3 Gold 2.44 ✕ 10−8 3.4 ✕ 10−3 Aluminum 2.82 ✕ 10−8 3.9 ✕ 10−3 Tungsten 5.6 ✕ 10−8 4.5 ✕ 10−3 Iron 10.0 ✕ 10−8 5.0 ✕ 10−3 Platinum 11 ✕ 10−8 3.92 ✕ 10−3 Lead 22 ✕ 10−8 3.9 ✕ 10−3 Nichromea 150 ✕ 10−8 0.4 ✕ 10−3 Carbon 3.5 ✕ 10−5 −0.5 ✕ 10−3 Germanium 0.46 −48 ✕ 10−3 Silicon 640 −75 ✕ 10−3 Glass 1010–1014 Hard rubber ≈1013 Sulfur 1015 Quartz (fused) 75 ✕ 1016 (b) If the wire is heated to 32.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Current And Resistance
Section: Chapter Questions
Problem 27.81AP: The potential difference across the filament of a light-bulb is maintained at a constant value while...
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(a) A 34.9-m length of copper wire at 20.0°C has a radius of 0.29 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 (Ω · m) |
Temperature Coefficient of Resistivity [(°C)−1] |
|---|---|---|
| Silver | 1.59 ✕ 10−8 | 3.8 ✕ 10−3 |
| Copper | 1.7 ✕ 10−8 | 3.9 ✕ 10−3 |
| Gold | 2.44 ✕ 10−8 | 3.4 ✕ 10−3 |
| Aluminum | 2.82 ✕ 10−8 | 3.9 ✕ 10−3 |
| Tungsten | 5.6 ✕ 10−8 | 4.5 ✕ 10−3 |
| Iron | 10.0 ✕ 10−8 | 5.0 ✕ 10−3 |
| Platinum | 11 ✕ 10−8 | 3.92 ✕ 10−3 |
| Lead | 22 ✕ 10−8 | 3.9 ✕ 10−3 |
| Nichromea | 150 ✕ 10−8 | 0.4 ✕ 10−3 |
| Carbon | 3.5 ✕ 10−5 | −0.5 ✕ 10−3 |
| Germanium | 0.46 | −48 ✕ 10−3 |
| Silicon | 640 | −75 ✕ 10−3 |
| Glass | 1010–1014 | |
| Hard rubber | ≈1013 | |
| Sulfur | 1015 | |
| Quartz (fused) | 75 ✕ 1016 |
(b) If the wire is heated to 32.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
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