(a) A 34.1-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Material Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome Carbon Germanium Silicon A Glass Hard rubber Sulfur Quartz (fused) Resistivity (2. m) Temperature Coefficient of Resistivity a [(°C)-¹] 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 1.00 x 10-6 3.5 x 10-5 0.46 2.3 x 10³ 1010 1014 =1013 1015 75 x 1016 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) 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 1.00 x 10-6 and 1.50 x 10-6- m. (d) The resistivity of silicon is very sensitive to purity. The value can be changed by several orders of magnitude when it is doped with other atoms. (b) If the wire is heated to 32.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?
(a) A 34.1-m length of copper wire at 20.0°C has a radius of 0.31 mm. If a potential difference of 7.00 V is applied across the length of the wire, determine the current in the wire. (Use the values in the following table.) Material Silver Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome Carbon Germanium Silicon A Glass Hard rubber Sulfur Quartz (fused) Resistivity (2. m) Temperature Coefficient of Resistivity a [(°C)-¹] 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 1.00 x 10-6 3.5 x 10-5 0.46 2.3 x 10³ 1010 1014 =1013 1015 75 x 1016 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) 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 1.00 x 10-6 and 1.50 x 10-6- m. (d) The resistivity of silicon is very sensitive to purity. The value can be changed by several orders of magnitude when it is doped with other atoms. (b) If the wire is heated to 32.0°C while the 7.00-V potential difference is maintained, what is the resulting current in the wire?
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