(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 aA 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?

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(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?
Transcribed Image Text:(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?
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