Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 26, Problem 45SP
To determine

The resistivity of aluminum wire at 100 °C.

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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 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 Temperature Coefficient of Resistivity [(°C)-1] (w. u) 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 150 x 10-8 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicon 640 -75 x 10-3 Glass 1010-1014 Hard rubber z1013 Sulfur 1015 Quartz (fused) 75 x 1016 A nickel-chromium alloy commonly used in heating elements. A (b) If the wire is heated to 34.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
(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 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) Resistivity (0 · m) Material Temperature Coefficient of Resistivity [(°C)-1] 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 150 x 10-8 0.4 x 10-3 Carbon 3.5 x 10-5 -0.5 x 10-3 Germanium 0.46 -48 x 10-3 Silicon 640 -75 x 10-3 Glass 1010-1014 Hard rubber 1013 Sulfur 1015 Quartz (fused) 75 x 1016 aA nickel-chromium alloy commonly used in heating elements. (b) If the wire is heated to 34.0°C while the 7.0-V potential difference is maintained, what is the resulting current in the wire?
A current of 1.97 A flows through an annealed copper wire 2.25 m long and 1.47 mm in diameter. Find the potential difference between the ends of the wire. Annealed copper has a conductivity of 5.81 x 107 o-1m-1. Answer Units: [V]
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