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184_projects:power_lines_24 [2023/12/19 22:01] – created dmcpadden | 184_projects:power_lines_24 [2024/03/22 17:23] (current) – dmcpadden | ||
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- | ==== Project: Rebuilding Power Lines ==== | + | ===== Project: Rebuilding Power Lines ===== |
+ | |||
+ | ==== Kick Off Questions ==== | ||
+ | - What is the equation for magnetic force on a current wire? How is it similar/ | ||
+ | - What is the equation for magnetic field on a very long wire? When would you want to use the integral version and when is it ok to use the long wire equation? | ||
+ | - If you use the magnetic field equation for a long wire, how do you determine the direction of the magnetic field? | ||
+ | |||
+ | ==== Main Problem | ||
{{183_projects: | {{183_projects: | ||
- | Despite your best efforts to return the cub, the EM-Boar tigers around Lakeview have started causing all sorts of problems. Last night, | + | There' |
- | Fortunately, | + | Needless to say, the residents of Lakeview are pretty spooked, and need their power back as soon as possible. |
{{ 183_projects: | {{ 183_projects: | ||
- | The Lakeview electricians are concerned about the power lines themselves. They are concerned that the force from one wire on the other will end up moving them out of place. They have suggested that the force from one wire on the other must be under 1000 N, otherwise the wire will break out of its housing. However, in talking to the Lakeview citizen' | + | The Lakeview electricians are concerned about the power lines themselves. They are concerned that the force from one wire on the other will end up moving them out of place. They have suggested that the force from one wire on the other must be under 1000 N, otherwise the wire will break out of its housing. However, in talking to the Lakeview citizen' |
The city of Lakeview needs your help! Evaluate the current options and produce a recommendation for Dr. Cürd based on the safety concerns of the Lakeview citizens & electricians. | The city of Lakeview needs your help! Evaluate the current options and produce a recommendation for Dr. Cürd based on the safety concerns of the Lakeview citizens & electricians. | ||
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</ | </ | ||
- | Conceptual questions: | + | ==== Wrap Up Questions ==== |
+ | - In order to simplify $\vec{F} = \int I d\vec{l} \times \vec{B}$ to $F = ILB$ there are several **critical** steps that you have to take. What are those steps that you need to simplify the force equation? | ||
- In your calculations, | - In your calculations, | ||
- If the wire has $0.008 \Omega/m$ resistance, how big of a power supply would be required for your current? (Calculate this!) | - If the wire has $0.008 \Omega/m$ resistance, how big of a power supply would be required for your current? (Calculate this!) | ||
- What would change about your solution if the currents went in the same direction instead of opposite directions? | - What would change about your solution if the currents went in the same direction instead of opposite directions? | ||
- What assumptions did you make in this problem? What are the limitations of your solution? | - What assumptions did you make in this problem? What are the limitations of your solution? | ||
- | - When do you want to use the integral form of the B-field equation? When can you use the long wire equation? | ||
- How does this relate to real power lines? Do we actually use 1000 A of current in real power lines? (You may have to do some googling here.) | - How does this relate to real power lines? Do we actually use 1000 A of current in real power lines? (You may have to do some googling here.) | ||