Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities) (a) Calculate the rate at which internal energy is produced in 1.55 m of 12-gauge copper wire carrying a current of 20.0 A. (b) Repeat the calculation for a 12-gauge aluminum wire.
Ohm's law
Ohm’s law is a prominent concept in physics and electronics. It gives the relation between the current and the voltage. It is used to analyze and construct electrical circuits. Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it.
Path of Least Resistance
In a series of alternate pathways, the direction of least resistance is the actual or metaphorical route that offers the least resistance to forwarding motion by a given individual or body.
Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities)
(a) Calculate the rate at which internal energy is produced in 1.55 m of 12-gauge copper wire carrying a current of 20.0 A.
(b) Repeat the calculation for a 12-gauge aluminum wire.
See images for the full question and table of resistivities
![Resistivities and Temperature Coefficients
of Resistivity for Various Materials
Temperature
Coefficientb a[(°C)-']
Material
Resistivity" (2 · m)
Silver
1.59 x 10-8
3.8 x 10-3
1.7 x 10-8
Copper
Gold
3.9 x 10-3
2.44 X 10-8
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
Aluminum
2.82 x 10-8
5.6 x 10-8
10 x 10-8
Tungsten
Iron
Platinum
11 x 10-8
Lead
22 x 10-8
Nichromec
1.00 x 10-6
0.4 X 10-3
-0.5 x 10-3
-48 x 10-3
-75 x 10-3
Carbon
3.5 x 10-5
Germanium
0.46
2.3 x 103
1010 to 1014
Silicond
Glass
Hard rubber
-1013
Sulfur
1015
Quartz (fused)
75 x 1016
* All values at 20°C. All elements in this table are assumed to be free of impurities.
b See Section 27.4.
A nickel-chromium alloy commonly used in heating elements. The resistivity of Nichrome
varies with composition and ranges between 1.00 x 10-6 and 1.50 x 10-6 N :m.
d The resistivity of silicon is very sensitive to purity. The value can be changed by several
orders of magnitude when it is doped with other atoms.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16356b52-7dbc-4def-a679-f16182394d73%2F1c80a0fb-3e17-4fe9-851e-0c1c7c7c24ac%2Fjuragyg_processed.jpeg&w=3840&q=75)
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