electrical_engineering_2:task_1.4.2_with_calc [MEXLE Wiki]

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<panel type="info" title="Task 1.4.2 electrical Field at different Geometry I (exam task, ca 6% of a 60 minute exam)"> <WRAP group><WRAP column 2%>{{fa>pencil?32}}</WRAP><WRAP column 92%>

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{{drawio>electrical_engineering_2:feldstaerkegeometriei.svg}}
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The figure on the right shows an arrangement of ideal metallic conductors (gray) with specified charge. In white a dielectric (e.g. vacuum) is shown. 
Several designated areas are shown by green dashed frames, which are partly inside the objects.

Arrange the designated areas clearly according to ascending field strength (magnitude)!
Indicate also, if designated areas have quantitatively the same field strength. 

<button size="xs" type="link" collapse="Loesung_5_4_2_Tipps">{{icon>eye}} Tips for the solution</button><collapse id="Loesung_5_4_2_Tipps" collapsed="true">
  * What is the field in a room completely surrounded by a conductive conductor?
  * How does the field behave inside a conductor? 
  * Does the field strength increase or decrease when a charge moves away from another charge?
  * Is the field at a peak higher or lower?
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<button size="xs" type="link" collapse="Loesung_5_4_2_Lösungsweg">{{icon>eye}} Solution</button><collapse id="Loesung_5_4_2_Lösungsweg" collapsed="true">
  - At $b$ and $d$ no field is measurable, because the surrounded conductor is on a constant field. There is no potential difference and therefore no field.
  - At $c$ a field (magnitude >0) is measurable, which points from the charge ($+1~\rm{C}$) to the elongated conductor ($-2~\rm{C}$). Due to the tip, there is an excess charge and thus a higher field.
  - At $a$ a field (magnitude >0) is measurable, which points from the charge ($+1~\rm{C}$) to the elongated conductor ($-2~\rm{C}$).

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<button size="xs" type="link" collapse="Loesung_5_4_2_Endergebnis">{{icon>eye}} Result</button><collapse id="Loesung_5_4_2_Endergebnis" collapsed="true">
$ b = d < a < c $
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