Where is the electric field greatest in magnitude?

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SUMMARY

The discussion centers on determining the point of greatest electric field (E-field) magnitude in a given configuration. User A asserts that the tip of the charge distribution (point C) has the highest E-field due to the concentration of charges, while User B suggests that point D, being pulled inward, may also represent a significant magnitude. Ultimately, the consensus leans towards the understanding that the E-field strength correlates with charge density and divergence, emphasizing the need to refer to vector equations involving these properties for accurate conclusions.

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  • Understanding of electric field concepts
  • Familiarity with charge density and its implications
  • Knowledge of vector equations in electromagnetism
  • Basic principles of divergence in vector fields
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  • Learn about the divergence of electric fields and its significance
  • Explore the relationship between charge distribution and electric field strength
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YMMMA
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Homework Statement


In the file

Homework Equations


No equations needed

The Attempt at a Solution


I answered it C. Since I learned that at the tip there are most of the charges. Therefore, it’s the point of the greatest E field magnitude. But another tutor told me that it is a circle, and because at D its like pulled inside, that’s the point of greatest magnitude. Which of these are correct?
 

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YMMMA said:

Homework Statement


In the file

Homework Equations


No equations needed

The Attempt at a Solution


I answered it C. Since I learned that at the tip there are most of the charges. Therefore, it’s the point of the greatest E field magnitude. But another tutor told me that it is a circle, and because at D its like pulled inside, that’s the point of greatest magnitude. Which of these are correct?
I believe C is correct, but you should be referring to the equation that would lead you to that conclusion. Can you post the relevant equation? :smile:
 
berkeman said:
I believe C is correct, but you should be referring to the equation that would lead you to that conclusion. Can you post the relevant equation? :smile:
I don’t know which equation you mean. But I guess you mean this
 

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YMMMA said:
I don’t know which equation you mean. But I guess you mean this
No, it's a vector equation involving the charge density and a property of the electric field...

Do some searching, and if you still have trouble finding it, you can click on the Spoiler below...

Look for the Differential form of Gauss' Law...
 
berkeman said:
No, it's a vector equation involving the charge density and a property of the electric field...

Do some searching, and if you still have trouble finding it, you can click on the Spoiler below...

Look for the Differential form of Gauss' Law...
I looked for this rule, but I don’t understand why would I use a rule to answer the question? Is it because it is more dense at the tip, so greater electric field?
 

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