C and D are not correct, please hel

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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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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C and D are not correct, please help

### Copper and Aluminum for High-Voltage Transmission Lines

Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 68.9 A. The resistance per unit length is to be 0.132 Ω/km. The densities of copper and aluminum are 8960 and 2600 kg/m³, respectively. The following factors have been computed for both materials:

#### Copper Cable:
- **Current Density (J):** \( 5.41 \times 10^5 \, \text{A/m}^2 \)
- **Mass per Unit Length (λ):** \( 1.140 \, \text{kg/m} \)

#### Aluminum Cable:
- **Current Density (J):** \( 3.43 \times 10^5 \, \text{A/m}^2 \)
- **Mass per Unit Length (λ):** \( 0.522 \, \text{kg/m} \)

These computations help in understanding the capabilities and requirements for using copper and aluminum as materials for high-voltage transmission lines. The current density (J) is a measure of the amount of electric current per unit area of cross-section, and it helps in determining how much current the material can carry efficiently. The mass per unit length (λ) gives an idea of the material mass required for a unit length of the cable, which is crucial for infrastructure planning and cost estimations.
Transcribed Image Text:### Copper and Aluminum for High-Voltage Transmission Lines Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 68.9 A. The resistance per unit length is to be 0.132 Ω/km. The densities of copper and aluminum are 8960 and 2600 kg/m³, respectively. The following factors have been computed for both materials: #### Copper Cable: - **Current Density (J):** \( 5.41 \times 10^5 \, \text{A/m}^2 \) - **Mass per Unit Length (λ):** \( 1.140 \, \text{kg/m} \) #### Aluminum Cable: - **Current Density (J):** \( 3.43 \times 10^5 \, \text{A/m}^2 \) - **Mass per Unit Length (λ):** \( 0.522 \, \text{kg/m} \) These computations help in understanding the capabilities and requirements for using copper and aluminum as materials for high-voltage transmission lines. The current density (J) is a measure of the amount of electric current per unit area of cross-section, and it helps in determining how much current the material can carry efficiently. The mass per unit length (λ) gives an idea of the material mass required for a unit length of the cable, which is crucial for infrastructure planning and cost estimations.
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