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184_projects:multiple_induction [2022/11/04 18:44] – valen176 | 184_projects:multiple_induction [2022/11/30 14:30] (current) – dmcpadden | ||
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==== Project: Manny' | ==== Project: Manny' | ||
- | Manny Hallabero is at it again! While it appears he took a couple weeks off, he is back to peppering the Lakeview City Council with questions about the new magnetic field surrounding Lakeview. You see, Manny is a dedicated recycling enthusiast and has been collecting discarded wire coils from the Hawkion Detector. Manny was planning a large transport of the coils, along with some spare magnets and power supplies, but he is now concerned. He has constructed a variety of scenarios (though some seem a bit outlandish) and asked the Lakeview City Council for answers. Given your expertise, the Lakeview City Council has asked you to analyze each situation to determine: 1) is there an induced current in the given wire coil and 2) if so, what direction is the induced current? | + | As the last of the reconstructed powerlines get put into place, the citizens of Lakeview have discovered that a strong magnetic field will temporarily stun the EM boar-tigers, allowing one to easily get to safety. Pooling together every last tax dollar, the citizens of Lakeview have decided they should create a constant 5 mT magnetic field everywhere in town to ensure the safety of their citizens. |
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+ | However, the superstitious local named Manny Hallabero is peppering the Lakeview City Council with questions about the new magnetic field surrounding Lakeview. You see, Manny is a dedicated recycling enthusiast and has been collecting discarded wire coils from the Hawkion Detector. Manny was planning a large transport of the coils, along with some spare magnets and power supplies, but he is now concerned. He has constructed a variety of scenarios (though some seem a bit outlandish) and asked the Lakeview City Council for answers. Given your expertise, the Lakeview City Council has asked you to analyze each situation to determine: 1) is there an induced current in the given wire coil and 2) if so, what direction is the induced current? | ||
=== Bar Magnet Situations === | === Bar Magnet Situations === | ||
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* Identify steps needed to determine an induced current direction | * Identify steps needed to determine an induced current direction | ||
* Explain the difference between conventional current and induced current | * Explain the difference between conventional current and induced current | ||
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- | === Learning Issues === | ||
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- | === Timing === | ||
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- | </ | ||
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- | ==== Project: Solution ==== | ||
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- | Bar Magnet Situations | ||
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- | The first step for solving these problems is to set up a table that looks one of the tables from the[[184_notes: | ||
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- | {{ 184_solutions: | ||
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- | The next step is to start filling in the table, either row-by-row or column-by-column. Choosing to always have $d\vec{A}$' | ||
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- | {{ 184_solutions: | ||
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- | Pointing all of the $d\vec{A}$' | ||
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- | {{ 184_solutions: | ||
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- | Note: The magnetic field from the bar magnet points from the south end of the bar magnet to the north end. | ||
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- | Coil Situations | ||
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- | more words | ||
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- | {{ 184_solutions: | ||
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- | {{ 184_solutions: | ||
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- | <WRAP tip> | ||
- | === Discussion Prompts === | ||
- | * **Question**: | ||
- | === Evaluation Questions === | ||
- | * **Question**: | ||
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- | === Extension Questions === | ||
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</ | </ | ||
+ | Conceptual Questions: | ||
+ | - What assumptions are you making in these RHR problems? (Hint: particularly, | ||
+ | - What direction does the dA vector point? | ||
+ | - What would change about your answer if you picked the opposite dA vector? Select one of the scenarios above and fill out the table for both dA vectors - what changes and what stays the same? | ||
+ | - How do you simplify the flux integral? (Hint: there are two key simplifying steps to simplify the integral!) | ||
+ | - Is flux a vector or a scalar? How do you know? | ||
+ | - What makes flux positive or negative? When will flux be zero? | ||
+ | - Out of all of your scenarios - what causes there to be no induced current? What patterns do you see across all the scenarios? | ||