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| 184_projects:power_lines_24 [2024/02/03 23:05] – tdeyoung | 184_projects:power_lines_24 [2024/03/22 17:23] (current) – dmcpadden |
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| ==== Project: Rebuilding Power Lines ==== | ===== Project: Rebuilding Power Lines ===== |
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| | ==== Kick Off Questions ==== |
| | - What is the equation for magnetic force on a current wire? How is it similar/different from the magnetic force on a point charge? |
| | - 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? |
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| | ==== Main Problem ==== |
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| {{183_projects:powerlines.jpeg?600}} | {{183_projects:powerlines.jpeg?600}} |
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| There's good news and bad news in Lakeview. Dr. Triste's theory was correct, and the FTOE scientists were able to use the Hawkions to finally neutralize the storms! But last night, just as everyone was celebrating, a horde of giant creatures stampeded through the town, damaging buildings, leaving deep gouges in the utility poles with their claws and chewing up most of the power lines. Manny Habañero claims these are the creatures he's been warning everyone about, which he calls "boartigers." He says they have lived in the nearby mountains ever since the War, and he thinks that the Hawkions have given them strange electromagnetic properties. | There's good news and bad news in Lakeview. Dr. Triste's theory was correct, and the FTOE scientists were able to use the Hawkions to finally get rid of the storms! But last night, just as everyone was celebrating, a horde of giant creatures stampeded through the town, damaging buildings, leaving deep gouges in the utility poles with their claws and chewing up most of the power lines. Manny Habañero claims these are the creatures he's been warning everyone about, which he calls "boartigers." He says they evolved after the War and have lived in the nearby mountains ever since, but he thinks that the Hawkion research at FTOE has somehow given them strange electromagnetic properties. |
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| Needless to say, the residents of Lakeview are pretty spooked, and need their power back as soon as possible. Fortunately, there is a power plant near Springfield that is willing to help out the citizens of Lakeview. The manager of the power plant, Dr. Erma Cürd, has said that she can use two surviving power lines between the cities to supply the much needed power. Using some old blueprints, she found that the two powerlines are 5 km long, separated by 1.5 m, and are 5.5 m off the ground. Shown in the figure below. Dr. Cürd has a few options to setting up the power plant - she can set the power plant to send 837 A, 1167 A, 1500 A, or 1833 A through the two power lines. | Needless to say, the residents of Lakeview are pretty spooked, and need their power back as soon as possible. Fortunately, there is a power plant near Springfield that is willing to help out the citizens of Lakeview. The manager of the power plant, Dr. Erma Cürd, has said that she can use two surviving power lines between the cities to supply the much needed power. Using some old blueprints, she found that the two powerlines are 5 km long, separated by 1.5 m, and are 5.5 m off the ground. Shown in the figure below. Dr. Cürd has a few options to setting up the power plant - she can set the power plant to send 837 A, 1167 A, 1500 A, or 1833 A through the two power lines. |
| </WRAP> | </WRAP> |
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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, you used dl or L a couple of times. What equations did you use with lengths, and which lengths were they referring to? | - In your calculations, you used dl or L a couple of times. What equations did you use with lengths, and which lengths were they referring to? |
| - 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.) |
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