(a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.21 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)MaterialResistivity(Ω · m)Temperature Coefficientof Resistivity [(°C)−1]Silver1.59 ✕ 10−83.8 ✕ 10−3Copper1.7 ✕ 10−83.9 ✕ 10−3Gold2.44 ✕ 10−83.4 ✕ 10−3Aluminum2.82 ✕ 10−83.9 ✕ 10−3Tungsten5.6 ✕ 10−84.5 ✕ 10−3Iron10.0 ✕ 10−85.0 ✕ 10−3Platinum11 ✕ 10−83.92 ✕ 10−3Lead22 ✕ 10−83.9 ✕ 10−3Nichromea150 ✕ 10−80.4 ✕ 10−3Carbon3.5 ✕ 10−5−0.5 ✕ 10−3Germanium0.46−48 ✕ 10−3Silicon640−75 ✕ 10−3Glass1010–1014 Hard rubber≈1013 Sulfur1015 Quartz (fused)75 ✕ 1016 aA nickel–chromium alloy commonly used in heating elements. A(b) If the wire is heated to 40.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire? A

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Answered: A (b) If the wire is heated to 40.0°C…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 9P

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(a) A 35.5-m length of copper wire at 20.0°C has a radius of 0.21 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
Nichrome^a	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 40.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
A

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