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
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
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 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F76aaab3c-5a4a-4ff8-814d-d2e8a1f30217%2F6d1533c9-ce4a-4896-9bb0-8a688cccc74d%2Fkcw1yc9_processed.png&w=3840&q=75)
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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