The length and diameter of an aluminum wire is twice the length and diameter of a copper wire, respectively. Find the ratio of the resistances of the two wires.
The length and diameter of an aluminum wire is twice the length and diameter of a copper wire, respectively. Find the ratio of the resistances of the two wires.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The length and diameter of an aluminum wire is twice the length and diameter of a copper wire, respectively. Find the ratio of the resistances of the two wires.
![Material of the Wire
The effect of the kind of material on the resistance of the wire is determined by its resistivity.
Resistivity p is the reciprocal of conductivity. Conductors have small resistivities, while insulators have
large resistivities. Semiconductors have intermediate values of resistivity. Table 3-2 lists the values of
resistivity for some materials. Note that resistivity is dependent on temperature.
Table 3-2
Resistivities of Some Materials at 20°C
Material
ρ (Ω.m)
Material
p (요.m)
Conductors
Semiconductors
Aluminum
2.75x10-8
Pure carbon
2.75x10-5
Copper
1.72x10-8
Pure germanium
0.60
Gold
2.44x10-8
Pure silicon
2300
Iron
9.7×10-8
Insulators
Lead
22x10-8
Amber
5x1014
Nichrome
100x10-8
Glass
1010–1014
Platinum
10.6x10-8
Mica
1011-1015
Silver
1.62x10-8
Rubber (hard)
1013-1016
Steel
20x10-8
Teflon
1016
Tungsten
5.25x10-8
Wood (maple)
3x1010](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e9b7fd0-895e-4646-a4a6-e00c42974f5f%2F4c1ad2a8-e7ff-40b3-9b32-b95bdf8af09a%2F2t56iu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Material of the Wire
The effect of the kind of material on the resistance of the wire is determined by its resistivity.
Resistivity p is the reciprocal of conductivity. Conductors have small resistivities, while insulators have
large resistivities. Semiconductors have intermediate values of resistivity. Table 3-2 lists the values of
resistivity for some materials. Note that resistivity is dependent on temperature.
Table 3-2
Resistivities of Some Materials at 20°C
Material
ρ (Ω.m)
Material
p (요.m)
Conductors
Semiconductors
Aluminum
2.75x10-8
Pure carbon
2.75x10-5
Copper
1.72x10-8
Pure germanium
0.60
Gold
2.44x10-8
Pure silicon
2300
Iron
9.7×10-8
Insulators
Lead
22x10-8
Amber
5x1014
Nichrome
100x10-8
Glass
1010–1014
Platinum
10.6x10-8
Mica
1011-1015
Silver
1.62x10-8
Rubber (hard)
1013-1016
Steel
20x10-8
Teflon
1016
Tungsten
5.25x10-8
Wood (maple)
3x1010
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