184_projects:multiple_induction

Differences

This shows you the differences between two versions of the page.

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
184_projects:multiple_induction [2022/11/04 18:44] valen176184_projects:multiple_induction [2022/11/30 14:30] (current) dmcpadden
Line 1: Line 1:
 ==== Project: Manny's Recycling ==== ==== Project: Manny's Recycling ====
-Manny Hallabero is at it again! While it appears he took couple weeks offhe 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 strong magnetic field will temporarily stun the EM boar-tigersallowing 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. 
 + 
 +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 ===
Line 19: Line 21:
   * 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
- 
-=== Learning Issues === 
- 
-=== Timing ===   
- 
- 
-</WRAP> 
- 
- 
-==== Project: Solution ==== 
- 
-Bar Magnet Situations 
- 
-The first step for solving these problems is to set up a table that looks one of the tables from the[[184_notes:induced_current|Finding the Induced Current Direction]] notes: 
- 
-{{ 184_solutions:mr_soln0.png?600 }} 
- 
-The next step is to start filling in the table, either row-by-row or column-by-column. Choosing to always have  $d\vec{A}$'s point in the same direction as $\vec{B}$ (when possible), results in this table: 
- 
-{{ 184_solutions:mr_soln3.png?900 }} 
- 
-Pointing all of the $d\vec{A}$'s in the opposite direction yields this table: 
- 
-{{ 184_solutions:mr_soln2.png?500 }} 
- 
-Note: The magnetic field from the bar magnet points from the south end of the bar magnet to the north end.  
- 
-Coil Situations 
- 
- more words 
- 
-{{ 184_solutions:mr_soln3.png?900 }} 
- 
-{{ 184_solutions:mr_soln4.png?500 }} 
- 
-<WRAP tip> 
-=== Discussion Prompts === 
-  * **Question**:  
-=== Evaluation Questions === 
-  * **Question**: 
- 
-=== Extension Questions === 
- 
 </WRAP> </WRAP>
  
 +Conceptual Questions:
 +  - What assumptions are you making in these RHR problems? (Hint: particularly, what assumptions are you making about the B-field?)
 +  - 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?
  
  • 184_projects/multiple_induction.1667587474.txt.gz
  • Last modified: 2022/11/04 18:44
  • by valen176