(a) A 35.5-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 Silver Copper Gold A Aluminum Tungsten Iron Platinum Lead Nichromea Carbon Germanium Silicon Glass Hard rubber Resistivity (Q.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 1010-1014 #1013 1015 Quartz (fused) 75 x 1016 Sulfur 0.46 640 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? A

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(a) A 35.5-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
Silver
A
Copper
Gold
Aluminum
Tungsten
Iron
Platinum
Lead
Nichrome a
Carbon
Germanium
Silicon
Glass
Hard rubber
Sulfur
Quartz (fused)
Resistivity
(2. m)
1.59 x 107
1.7 x 10-8
2.44 x 10-8
2.82 x 10
5.6 x 107
10.0 x 10
11 x 10
-8
-8
0.46
-8
640
22 x 10-8
3.5 x 107
-8
-8
150 x 10-
-8
-5
1010-1014
≈1013
1015
75 x 1016
Temperature Coefficient
of Resistivity [(°C)-¹]
3.8 x 10
-3
3.9 × 10-3
3.4 x 10-3
3.9 x 107
5.0 x 10
4.5 x 10-3
3.92 x 10
-3
-3
0.4 x 107
-3
3.9 × 10-3
-3
-3
-0.5 x 107
-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?
A
Transcribed Image Text:(a) A 35.5-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 Silver A Copper Gold Aluminum Tungsten Iron Platinum Lead Nichrome a Carbon Germanium Silicon Glass Hard rubber Sulfur Quartz (fused) Resistivity (2. m) 1.59 x 107 1.7 x 10-8 2.44 x 10-8 2.82 x 10 5.6 x 107 10.0 x 10 11 x 10 -8 -8 0.46 -8 640 22 x 10-8 3.5 x 107 -8 -8 150 x 10- -8 -5 1010-1014 ≈1013 1015 75 x 1016 Temperature Coefficient of Resistivity [(°C)-¹] 3.8 x 10 -3 3.9 × 10-3 3.4 x 10-3 3.9 x 107 5.0 x 10 4.5 x 10-3 3.92 x 10 -3 -3 0.4 x 107 -3 3.9 × 10-3 -3 -3 -0.5 x 107 -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? A
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