The figure below shows a section of an overhead power line that is 54.5 m long and carries current of 2.40 kA. The current is directed to the north. The magnitude of the Earth's magnetic field at this location is 4.50 x 10-5 T. The field has a northward component and a downward component, so that it makes an angle of 65.0° with the power line. 65.0⁰ Ⓡ (a) What is the magnitude of the magnetic force (in N) on the power line? N (b) What is the direction of the magnetic force on the power line? O north (in the same direction as I) O south (in the opposite direction as I) O east (out of the page) O west (into the page) O upward O downward O in the same direction as B

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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The image illustrates an overhead power line section, which is 54.5 meters long and carries a current of 2.40 kA. The current flows toward the north. The Earth's magnetic field at this location has a magnitude of \(4.50 \times 10^{-5} \, \text{T}\) and consists of a northward component and a downward component, forming a 65.0° angle with the power line.

### Questions:
**(a)** What is the magnitude of the magnetic force (in N) on the power line?
- [Answer box here]

**(b)** What is the direction of the magnetic force on the power line?
- ○ north (in the same direction as \( \vec{I} \))
- ○ south (in the opposite direction as \( \vec{I} \))
- ○ east (out of the page)
- ○ west (into the page)
- ○ upward
- ○ downward
- ○ in the same direction as \( \vec{B} \)

### Diagram Explanation:
The diagram shows the power line suspended horizontally between two poles. The current (\( I \)) is represented by a red arrow pointing north along the line. The Earth's magnetic field (\( \vec{B} \)) is depicted by green arrows angled at 65.0° to the line, indicating a combination of northward and downward components.
Transcribed Image Text:The image illustrates an overhead power line section, which is 54.5 meters long and carries a current of 2.40 kA. The current flows toward the north. The Earth's magnetic field at this location has a magnitude of \(4.50 \times 10^{-5} \, \text{T}\) and consists of a northward component and a downward component, forming a 65.0° angle with the power line. ### Questions: **(a)** What is the magnitude of the magnetic force (in N) on the power line? - [Answer box here] **(b)** What is the direction of the magnetic force on the power line? - ○ north (in the same direction as \( \vec{I} \)) - ○ south (in the opposite direction as \( \vec{I} \)) - ○ east (out of the page) - ○ west (into the page) - ○ upward - ○ downward - ○ in the same direction as \( \vec{B} \) ### Diagram Explanation: The diagram shows the power line suspended horizontally between two poles. The current (\( I \)) is represented by a red arrow pointing north along the line. The Earth's magnetic field (\( \vec{B} \)) is depicted by green arrows angled at 65.0° to the line, indicating a combination of northward and downward components.
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