### Temperature Coefficient and Resistance ProblemThe temperature coefficient of a certain conducting material is \(4.52 \times 10^{-4} \, (\degree\text{C})^{-1}\).#### Problem Statement**(a)** At what temperature would the resistance be 2 times the resistance at \(20.0\degree\text{C}\)?*Use \(20.0\degree\text{C}\) as the reference point.*The formula is:\[\rho - \rho_0 = \rho_0 \alpha (T - T_0)\]**(b)** Does this temperature hold for all copper conductors, regardless of shape or size?#### Answers- **(a)** [Input Field: Number, Unit: \(\degree\text{C}\)]- **(b)** Yes (Selection)**Notes:** - The expression used is a linear approximation relating resistivity changes with temperature.- Resistance changes depend on both material properties and temperature variations.

The temperature coefficient of a certain conducting material is 4.52 x 10-4 (°C)-1. (a) At what temperature would the resistance be 2 times the resistance at 20.0°C? (Use 20.0°C as the reference point in P- Po Poa(T-To).) (b) Does this temperature hold for all copper conductors, regardless of shape or size? =

The temperature coefficient of a certain conducting material is 4.52 x 10-4 (°C)-1. (a) At what temperature would the resistance be 2 times the resistance at 20.0°C? (Use 20.0°C as the reference point in P- Po Poa(T-To).) (b) Does this temperature hold for all copper conductors, regardless of shape or size? =

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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(a) A 35.1-m length of copper wire at 20.0°C has a radius of 0.23 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 Coefficientof 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 aA nickel–chromium alloy commonly used in heating elements. ??A(b) If the wire is heated to 36.0°C while the 7.0-V potential difference is…
(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 Coefficientof 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?