(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 Aluminum Tungsten Iron Platinum Lead Nichromea Carbon Germanium Silicon Glass Hard rubber Sulfur Quartz (fused) 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 0.46 640 1010-1014 =1013 1015 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. 2.76E17 x Calculate the resistance of the wire and use the value you calculate to find the current. A (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? 8.16E16 X Use the value of the resistance at 20.0°C and the temperature coefficient of resistivity to find the resistance at the requested temperature and then use that resistance to find the current. 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
Copper
Gold
Aluminum
Tungsten
Iron
Platinum
Lead
Nichromea
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 10
10.0 x 10
-8
-8
22 x 107
-8
11 x 10-8
0.46
640
-8
-8
150 x 10 -8
3.5 x 10-5
1010-1014
≈1013
1015
75 x 1016
Temperature Coefficient
of Resistivity [(°C)-¹]
3.8 x 10-3
3.9 x 10
3.4 x 10
-3
4.5 x 10
-3
3.9 × 10-3
-3
5.0 × 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.
2.76E17
Calculate the resistance of the wire and use the value you calculate to find the current. A
(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?
8.16E16
Use the value of the resistance at 20.0°C and the temperature coefficient of resistivity to find the resistance at the requested temperature and then use that resistance to find the current. 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 Copper Gold Aluminum Tungsten Iron Platinum Lead Nichromea 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 10 10.0 x 10 -8 -8 22 x 107 -8 11 x 10-8 0.46 640 -8 -8 150 x 10 -8 3.5 x 10-5 1010-1014 ≈1013 1015 75 x 1016 Temperature Coefficient of Resistivity [(°C)-¹] 3.8 x 10-3 3.9 x 10 3.4 x 10 -3 4.5 x 10 -3 3.9 × 10-3 -3 5.0 × 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. 2.76E17 Calculate the resistance of the wire and use the value you calculate to find the current. A (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? 8.16E16 Use the value of the resistance at 20.0°C and the temperature coefficient of resistivity to find the resistance at the requested temperature and then use that resistance to find the current. A
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