Difference between electric field intensity of plane and conducting sheet

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Discussion Overview

The discussion centers on the differences in electric field intensity between an infinite plane charged sheet and an infinite conducting charged sheet. Participants explore the theoretical underpinnings and derivations of the respective formulas for electric field intensity, as well as the implications of charge distribution on conductors.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents the formulas for electric field intensity: E = σ/2ε₀ for an infinite plane charged sheet and E = σ/ε₀ for an infinite conducting charged sheet.
  • Another participant references a source to illustrate the difference in electric field distribution for the two types of sheets, noting that the electric field exists on both sides of the charged sheet but only on one side of the conducting sheet.
  • A participant seeks clarification on deriving the formula for the electric field of the infinite conducting charged sheet and questions the charge distribution pattern on the conductor.
  • One participant prompts another about their familiarity with Gauss's law, suggesting its relevance to the discussion.
  • A participant acknowledges their learning process regarding Gauss's law and admits to not being fully confident in it.
  • Another participant expresses gratitude for the responses received and indicates they have found their answer after some effort.

Areas of Agreement / Disagreement

The discussion reflects a mix of understanding and uncertainty regarding the derivation of electric field formulas and the application of Gauss's law. No consensus is reached on the derivation methods or the implications of charge distribution.

Contextual Notes

Participants express varying levels of familiarity with Gauss's law, which may affect their understanding of the electric field concepts discussed. There are unresolved questions regarding the derivation of formulas and the specifics of charge distribution on conductors.

Sumedh
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what is the difference between the electric field intensity of
1)infinite plane charged sheet whose formula is
E=[itex]\sigma[/itex]/2[itex]\epsilon[/itex]o
and 2)infinite conducting charged sheet whose formula is
E = [itex]\sigma[/itex]/[itex]\epsilon[/itex]o
 
Last edited:
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Sumedh said:
what is the difference between the electric field intensity of
1)infinite plane charged sheet whose formula is
E=[itex]\sigma[/itex]/2[itex]\epsilon[/itex]o
and 2)infinite conducting charged sheet whose formula is
E = [itex]\sigma[/itex]/[itex]\epsilon[/itex]o

Look at the top and bottom figure here:

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/gausur.html#c3

One is a sheet of charge where the E field is on top and bottom. The other is where the E field is only on one side.

Zz.
 
How can we derive the formula for
'2)infinite conducting charged sheet whose formula is
E = σ/ϵo'
i am not cleared about the second point.
what will be the pattern of charge distribution on the conductor
and how it can be derived through direct integration?
 
Are you not familiar with Gauss's law?

Zz.
 
I am learning gauss law and is not perfect in it
 
Thank you very much for your valuable reply. I have got my answer after some trial and error. thank you very much.:smile:
 

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