Problem 12: A piece of 12-gauge copper wire has a length of 4.25 m. The tables provided may be a convenient source of data. Wire diameter d for select gauges in the AWG (American Wire Gauge) system. 4 6 10 14 8 3.264 5.189 4.115 2.588 1.628 gauge d (mm) 0 8.251 material conductors silver copper gold. aluminum tungsten iron constantan mercury nichrome 2 6.544 semiconductors carbon (pure) germanium (pure) silicon (pure) 6.29 x 107 5.95 x 107 4.10 x 107 12 2.053 Conductivity (0), resistivity (Q), and temperature coefficient of resistivity (a) at 20°C for select materials. o (1/(S2. m)) Q (2. m) a (C-¹) 16 1.291 3.77 x 107 1.79 x 107 1.03 x 107 0.20 × 107 0.10 x 107 0.10 x 107 1.59 × 10-8 1.68 × 10-8 2.44 x 10-8 2.65 x 10-8 5.60 x 10-8 9.71 × 10-8 49.0 × 10-8 98.0 × 10-8 100. × 10-8 (Values for semiconductors depend strongly on type and amount of impurities.) 2.86 x 10-6 3.50 x 10-5 -0.5 × 10-³ 0.60 -0.048 2300 -0.075 3.8 x 10-3 3.9 x 10-3 3.4 x 10-3 3.9 × 10-3 4.5 x 10-3 6.5 x 10-³ 0.03 x 10-3 18 1.024 0.9 × 10-³ 0.4 x 10-3 20 0.812

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
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What is the resistance, in ohms, of the given length of wire?

R = ______ Ω

Problem 12: A piece of 12-gauge copper wire has a length of 4.25 m. The tables provided may be a convenient source of data.
Wire diameter d for select gauges in the AWG (American Wire Gauge) system.
4
6
12
14
8
3.264
10
2.588
5.189
4.115
2.053
1.628
gauge
d (mm)
material
conductors
silver
copper
gold
0
8.251
aluminum
tungsten
iron
constantan
mercury
nichrome
2
6.544
semiconductors
carbon (pure)
germanium (pure)
silicon (pure)
Conductivity (0), resistivity (Q), and temperature coefficient of resistivity (a) at 20°C for select materials.
o (1/(2. m))
Q (2. m)
a (C-¹)
6.29 × 107
5.95 × 107
4.10 × 107
3.77 x 107
1.79 × 107
1.03 × 107
X
16
1.291
0.20 × 107
X
1.59 × 10-8
1.68 × 10-8
2.44 × 10-8
2.65 × 10-8
5.60 x 10-8
9.71 × 10-8
49.0 × 10-8
0.03 × 10-³
0.10 × 107
X
98.0 × 10-8
0.10 × 107
0.9 × 10-3
0.4 × 10-³
100. × 10-8
(Values for semiconductors depend strongly on type and amount of impurities.)
2.86 x 10-6
3.50 x 10-5
0.60
2300
3.8 × 10-3
3.9 × 10-3
3.4 x 10-3
3.9 × 10-3
4.5 x 10-3
6.5 x 10-3
18
1.024
-3
-0.5 × 10-³
-0.048
-0.075
20
0.812
Transcribed Image Text:Problem 12: A piece of 12-gauge copper wire has a length of 4.25 m. The tables provided may be a convenient source of data. Wire diameter d for select gauges in the AWG (American Wire Gauge) system. 4 6 12 14 8 3.264 10 2.588 5.189 4.115 2.053 1.628 gauge d (mm) material conductors silver copper gold 0 8.251 aluminum tungsten iron constantan mercury nichrome 2 6.544 semiconductors carbon (pure) germanium (pure) silicon (pure) Conductivity (0), resistivity (Q), and temperature coefficient of resistivity (a) at 20°C for select materials. o (1/(2. m)) Q (2. m) a (C-¹) 6.29 × 107 5.95 × 107 4.10 × 107 3.77 x 107 1.79 × 107 1.03 × 107 X 16 1.291 0.20 × 107 X 1.59 × 10-8 1.68 × 10-8 2.44 × 10-8 2.65 × 10-8 5.60 x 10-8 9.71 × 10-8 49.0 × 10-8 0.03 × 10-³ 0.10 × 107 X 98.0 × 10-8 0.10 × 107 0.9 × 10-3 0.4 × 10-³ 100. × 10-8 (Values for semiconductors depend strongly on type and amount of impurities.) 2.86 x 10-6 3.50 x 10-5 0.60 2300 3.8 × 10-3 3.9 × 10-3 3.4 x 10-3 3.9 × 10-3 4.5 x 10-3 6.5 x 10-3 18 1.024 -3 -0.5 × 10-³ -0.048 -0.075 20 0.812
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