Understanding Uniform Electric Fields: Why is Magnitude Always the Same?

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Discussion Overview

The discussion revolves around the characteristics of the electric field produced by an infinite non-conducting sheet with a uniformly distributed positive charge. Participants explore why the magnitude of the electric field remains constant at all points in space, focusing on the implications of the sheet's infinite nature.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant notes that the electric field is uniform in both direction and magnitude due to the infinite nature of the sheet.
  • Another participant emphasizes the importance of the sheet being infinite, suggesting that this is a critical factor in maintaining a constant magnitude.
  • A participant introduces the concept of symmetry, arguing that it allows for the conclusion that the electric field must be perpendicular to the plane and independent of distance from the sheet.
  • One participant states that because the sheet is infinite, the lines of electric flux cannot diverge, leading to a constant electric field regardless of distance from the sheet.

Areas of Agreement / Disagreement

Participants generally agree on the idea that the infinite nature of the sheet plays a crucial role in the uniformity of the electric field's magnitude. However, the discussion does not resolve the underlying reasons for this uniformity, leaving some aspects open to further exploration.

Contextual Notes

Participants do not explicitly address potential limitations or assumptions in their arguments, such as the implications of the sheet's infinite extent or the conditions under which Gauss's law applies.

Shahid0072
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Hi all ..
I was studying this electric field due to infinite non conducting sheet having uniformly distributed positive charge..Electric field due to it is of same direction and magnitude at any point..Which is called uniform electric field!I understood why direction of field is always perpendicular to plane of sheet and away from it..But i have doubt why it same same magnitude everywhere??Is it because it is infinite?
 
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Its infinite..Just make sure
 


Because the plane is infinite, you can use symmetry to argue that the field mst be perpendicular to the plane. Then, Gauss's law can be used to show that E does ot depend on the distance from the plane.
 


As the sheet is infinite, the lines of flux cannot diverge. Henceforce, the E field is constant no matter what distance you are from the infinite sheet of charge.

Claude.
 

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