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electrical_engineering_and_electronics_1:block15 [2025/11/22 19:33] – mexleadminelectrical_engineering_and_electronics_1:block15 [2026/01/10 12:48] (current) – mexleadmin
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 ====== Block 15 — Magnets, their Effects and Fieldline Images ====== ====== Block 15 — Magnets, their Effects and Fieldline Images ======
  
-===== Learning objectives =====+===== 16.0 Intro ===== 
 + 
 +==== 16.0.1 Learning objectives ====
 <callout> <callout>
 After this 90-minute block, you  After this 90-minute block, you 
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 </callout> </callout>
  
-===== Preparation at Home =====+==== 16.0.2 Preparation at Home ====
  
 Well, again  Well, again 
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   * ...   * ...
  
-===== 90-minute plan =====+==== 16.0.3 90-minute plan ====
   - Warm-up (x min):    - Warm-up (x min): 
     - ....      - .... 
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   - Wrap-up (x min): Summary box; common pitfalls checklist.   - Wrap-up (x min): Summary box; common pitfalls checklist.
  
-===== Conceptual overview =====+==== 16.0.4 Conceptual overview ====
 <callout icon="fa fa-lightbulb-o" color="blue"> <callout icon="fa fa-lightbulb-o" color="blue">
   - ...   - ...
 </callout> </callout>
  
-===== Core content ===== +===== 16.1 Core content =====
  
-==== Effects around Permanent Magnets ====+==== 16.1.1 Effects around Permanent Magnets ====
  
 <WRAP right> <WRAP right>
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 ~~PAGEBREAK~~ ~~CLEARFIX~~ ~~PAGEBREAK~~ ~~CLEARFIX~~
-==== Effects around Current-carrying Wires ====+==== 16.1.2 Effects around Current-carrying Wires ====
  
 <WRAP> <WRAP>
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 ~~PAGEBREAK~~~~CLEARFIX~~ ~~PAGEBREAK~~~~CLEARFIX~~
  
-==== Comparison of Electrostatics and Magnetostatics ====+==== 16.1.3 Comparison of Electrostatics and Magnetostatics ====
  
 ^ Property              ^ Electrostatic                                                                                                          ^ Magnetostatic                                                                                                          ^ ^ Property              ^ Electrostatic                                                                                                          ^ Magnetostatic                                                                                                          ^
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 ~~PAGEBREAK~~~~CLEARFIX~~ ~~PAGEBREAK~~~~CLEARFIX~~
-==== Superposition of the magnetostatic Field ====+==== 16.1.4 Superposition of the magnetostatic Field ====
  
 In the electric field, the field line density was a measure of the strength of the field. This is also used for the magnetic field. Looking at the simulations in Falstad (e.g. <imgref BildNr105>) with this understanding, one notices an inconsistency: contrary to the relationship just given, the field line density in the Falstad simulation __**not**__ indicates the strength of the field. A realistic simulation is shown in <imgref BildNr106> for comparison, which makes the difference clear: the field is stronger near the conductor. Thus the field line density must also be stronger there. In the electric field, the field line density was a measure of the strength of the field. This is also used for the magnetic field. Looking at the simulations in Falstad (e.g. <imgref BildNr105>) with this understanding, one notices an inconsistency: contrary to the relationship just given, the field line density in the Falstad simulation __**not**__ indicates the strength of the field. A realistic simulation is shown in <imgref BildNr106> for comparison, which makes the difference clear: the field is stronger near the conductor. Thus the field line density must also be stronger there.
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 {{url>https://www.falstad.com/vector3dm/vector3dm.html?f=InverseRotationalDipole&d=streamlines&sl=z&st=20&ld=8&a1=51&rx=33&ry=0&rz=0&zm=1.2 700,450 noborder}} {{url>https://www.falstad.com/vector3dm/vector3dm.html?f=InverseRotationalDipole&d=streamlines&sl=z&st=20&ld=8&a1=51&rx=33&ry=0&rz=0&zm=1.2 700,450 noborder}}
 <WRAP> <WRAP>
- 
- 
-~~PAGEBREAK~~ ~~CLEARFIX~~ 
-=== Complex Geometry: toroidal Coil === 
- 
-<WRAP> 
-<imgcaption BildNr04 | Magnetic field in a toroidal coil></imgcaption> \\ 
-{{url>https://www.falstad.com/vector3dm/vector3dm.html?f=ToroidalSolenoidField&d=streamlines&sl=none&st=1&ld=8&a1=77&a2=26&a3=100&rx=0&ry=0&rz=0&zm=1.8 700,450 noborder}} 
-<WRAP> 
- 
-A toroidal coil has a donut-like setup. This can be seen in <imgref BildNr04>. \\  
-For reasons of symmetry, it shall get clear that the field lines form concentric circles. \\ 
-The magnetic field in a toroidal coil is often considered as homogenious. 
  
  
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-===== Common pitfalls =====+===== 16.2 Common pitfalls =====
   * ...   * ...
  
-===== Exercises =====+===== 16.3 Exercises ===== 
 +{{page>electrical_engineering_and_electronics:task_8a117vmnbbmsbfz3_with_calculation&nofooter}} 
 + 
 <panel type="info" title="Task 3.2.1 Magnetic Field Strength around a horizontal straight Conductor"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%> <panel type="info" title="Task 3.2.1 Magnetic Field Strength around a horizontal straight Conductor"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>
  
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 Superposition of magnetic fields Superposition of magnetic fields
 {{youtube>xB8J-NaNYc4}} {{youtube>xB8J-NaNYc4}}
 +</WRAP>
 +
 +<WRAP column half>
 +{{youtube>VkSQX5VpYpQ}}
 </WRAP> </WRAP>