(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 (A - m) Temperature Coefficient of Resistivity [(°C)-1] Material 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 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 (A - m) Temperature Coefficient of Resistivity [(°C)-1] Material 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 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?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 46P: An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C...

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What current flows through a 2.54-cm-diameter rod of Pure silicon that is 20.0 cm long, when 1.00103 V is applied to it? (Such a rod may be used to make nuclear- particle detectors, for example.)
An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C contains pure carbon resistors. By what factor does their resistance increase over this range?
(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…
(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?
(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. Calculate the resistance of the wire and use the value you calculate to find the current…
(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 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) A 33.5-m length of copper wire at 20.0°C has a radius of 0.29 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.) Resistivitya (0 · m) Temperature Coefficient of Resistivityb a [(°C)-l] Material Silver 1.59 х 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…
(a) A 33.9-m length of copper wire at 20.0°C has a radius of 0.27 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 Silver A Copper Gold Aluminum. Tungsten Iron Platinum Lead Nichromea Carbon Germanium Silicon Glass Hard rubber Sulfur Resistivity (2. m) 1.59 x 10-8 1.7 x 10-8 2.44 x 10-8 2.82 x 10-8 5.6 x 10-8 10.0 x 10-8 11 x 10-8 22 x 10-8 150 x 10-8 3.5 x 10-5 0.46 640 1010-1014 ≈1013 1015 Quartz (fused) 75 x 1016 Temperature Coefficient of Resistivity [(°C)-¹] 3.8 x 10-3 3.9 x 10-3 3.4 x 10-3 3.9 x 10-3 4.5 x 10-3 5.0 x 10-3 3.92 x 10-3 3.9 x 10-3 0.4 x 10-3 -0.5 x 10-3 -48 x 10-3 -75 x 10-3 A nickel-chromium alloy commonly used in heating elements. (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?
The Resistance of Nichrome Wire The radius of a piece of Nichrome wire is 0.306 mm. (Assume the wire's temperature is 20°C.) (a) Calculate the résistance per unit length of this wire. SOLUTION Conceptualize This table shows that Nichrome has a resistivity two orders of magnitude larger than the best conductors in the table. Therefore, we expect it to have some special practical applications that the best conductors may not have. Categorize We model the wire as a ---Select--- so that a simple geometric analysis can be applied to find the resistance. Analyze Use this equation and the resistivity of Nichrome to find the resistance per unit length (in 0/m): R 0/m %3D %3D %3D A (b) If a potential difference of 10 V is maintained across a 1.0 m length of the Nichrome wire, what is the current in the wire? SOLUTION Analyze Use this equation to find the current (in A): AV I = %3D A R Finalize Because of its high resistivity and resistance to oxidation, Nichrome is often used for heating…
2) Resistivity is a property of a particular material and can be used to calculate the resistance of a sample. a) Provide an equation for calculating the resistivity of a material. b) Calculate the resistance of 50m roll of copper wire which has a cross sectional area of 5mm^2 if the resistivity of copper is 1.72 x 10^-8 ohm metres.
What should be the length and cross-sectional area of a wire for it to have a resistance of 82 from a 5-cm³ metal that has a resistivity of 9 x 10-8 2-m?