3. (20 points)Consider the following scenario: An engineering student measures the resistivity of a particular cylindrical wire for different lengths L by tapping at points the wire from 0.1 m to 1 m in steps of 0.1 m. The radius of the wire is 0.2 mm. The experiment is carried out under following circumstances: a) The best line has been drawn through the points given below and determine the resistivity of the wire from the slope of the plot between blue marked points. b) Based on the value of resistivity you calculated, what is the material wire resistor made of? Make sure everything is in ohms and meters, otherwise your units will not work out correctly in the end!

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Chapter1: Units, Trigonometry. And Vectors
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3. (20 points)Consider the following scenario: An engineering student measures the resistivity
of a particular cylindrical wire for different lengths L by tapping at points the wire from 0.1 m
to 1 m in steps of 0.1 m. The radius of the wire is 0.2 mm. The experiment is carried out under
following circumstances:
a) The best line has been drawn through the points given below and determine the
resistivity of the wire from the slope of the plot between blue marked points.
b) Based on the value of resistivity you calculated, what is the material wire resistor
made of? Make sure everything is in ohms and meters, otherwise your units will not
work out correctly in the end!
Table 1. Resistivity of Some Common Materials.
Resistivity p ( Q-m)
1.59x10
1.72x108
2.44×108
2.65×108
2x10
2.2x10
4.4×10
4.9x10
9.6×10
1×106
Material
Silver
Соpper
Gold
Aluminum
Steel
Lead
Manganin (Cu, Mn, Ni alloy)
Constantan (Cu, Ni alloy)
Mercury
Nichrome (Ni, Fe, Cr alloy)
Transcribed Image Text:3. (20 points)Consider the following scenario: An engineering student measures the resistivity of a particular cylindrical wire for different lengths L by tapping at points the wire from 0.1 m to 1 m in steps of 0.1 m. The radius of the wire is 0.2 mm. The experiment is carried out under following circumstances: a) The best line has been drawn through the points given below and determine the resistivity of the wire from the slope of the plot between blue marked points. b) Based on the value of resistivity you calculated, what is the material wire resistor made of? Make sure everything is in ohms and meters, otherwise your units will not work out correctly in the end! Table 1. Resistivity of Some Common Materials. Resistivity p ( Q-m) 1.59x10 1.72x108 2.44×108 2.65×108 2x10 2.2x10 4.4×10 4.9x10 9.6×10 1×106 Material Silver Соpper Gold Aluminum Steel Lead Manganin (Cu, Mn, Ni alloy) Constantan (Cu, Ni alloy) Mercury Nichrome (Ni, Fe, Cr alloy)
9.
8-
7-
6 -
3.
-X-
2 -
1
0,0
0,2
0,4
0,6
0,8
1,0
L(m)
Transcribed Image Text:9. 8- 7- 6 - 3. -X- 2 - 1 0,0 0,2 0,4 0,6 0,8 1,0 L(m)
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