You were given a 13.7-cm long section of a mysterious looking conducting wire and asked to figure out what it was made of. No problem! You measured its diameter, and determined that wire had a cross-sectional area of 1.75 x 10-6 m², then you connected the wire across a 1.5-V battery, and measured the current -- and the temperature. (a) The 0.576-A current running through the bare wire quickly raised its temperature to 118°C. What were the electrical conductivity and electrical resistivity of the wire at that temperature?

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Material
Aluminum
Copper
Gold
Iron
Silver
Tungsten
Nichrome*
Carbon
Resistivity
(nm)
2.8 × 10-8
1.7 X 108
2.4 x 10-8
9.7 × 10-8
1.6 × 10-8
5.6 x 10-8
1.5 x 10-6
3.5 x 10-5
Conductivity
(n-¹m-¹)
3.5 X 107
6.0 X 10²
4.1 x 107
1.0 × 10²
6.2 X 107
1.8 X 107
6.7 X 105
2.9 x 10¹
Transcribed Image Text:Material Aluminum Copper Gold Iron Silver Tungsten Nichrome* Carbon Resistivity (nm) 2.8 × 10-8 1.7 X 108 2.4 x 10-8 9.7 × 10-8 1.6 × 10-8 5.6 x 10-8 1.5 x 10-6 3.5 x 10-5 Conductivity (n-¹m-¹) 3.5 X 107 6.0 X 10² 4.1 x 107 1.0 × 10² 6.2 X 107 1.8 X 107 6.7 X 105 2.9 x 10¹
You were given a 13.7-cm long section of a mysterious looking conducting wire and asked to figure out what it was made of.
No problem! You measured its diameter, and determined that wire had a cross-sectional area of 1.75 x 10-6 m², then you
connected the wire across a 1.5-V battery, and measured the current -- and the temperature.
(a) The 0.576-A current running through the bare wire quickly raised its temperature to 118°C.
What were the electrical conductivity and electrical resistivity of the wire at that temperature?
30100 -1.m-1
σ = 3.006e4
P = 3.3265e-5
3.33e-05 2.m✔
(b) What was its resistance at that temperature?
R = 2.604 2.6| Ω
Room Temperature (2 of 2)
You disconnected the wire from the battery, let it cool back down to room temperature (20°C), then measured its resistance.
(c) What is the temperature coefficient of the wire if the resistance at room temperature was 2.74 22?
α =
(d) Based on your results, and tables in the tutorial, what is the wire most likely made of? ---Select---
Transcribed Image Text:You were given a 13.7-cm long section of a mysterious looking conducting wire and asked to figure out what it was made of. No problem! You measured its diameter, and determined that wire had a cross-sectional area of 1.75 x 10-6 m², then you connected the wire across a 1.5-V battery, and measured the current -- and the temperature. (a) The 0.576-A current running through the bare wire quickly raised its temperature to 118°C. What were the electrical conductivity and electrical resistivity of the wire at that temperature? 30100 -1.m-1 σ = 3.006e4 P = 3.3265e-5 3.33e-05 2.m✔ (b) What was its resistance at that temperature? R = 2.604 2.6| Ω Room Temperature (2 of 2) You disconnected the wire from the battery, let it cool back down to room temperature (20°C), then measured its resistance. (c) What is the temperature coefficient of the wire if the resistance at room temperature was 2.74 22? α = (d) Based on your results, and tables in the tutorial, what is the wire most likely made of? ---Select---
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