What is the Electric Field for a Charged Sheet at Different Distances?

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Homework Help Overview

The discussion revolves around calculating the electric field generated by a charged sheet, specifically a flat aluminum foil with a uniform charge distribution. Participants are exploring the electric field at two different distances from the sheet: very close to the surface and at a significant distance above it.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the electric field formula for a charged sheet and question its validity at varying distances from the sheet. There is an exploration of how to treat the charged sheet as a point charge when far away and considerations of how the geometry of the charge distribution affects the electric field.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and questioning the assumptions underlying their approaches. Some guidance has been offered regarding treating the sheet as a point charge at greater distances, but there is no explicit consensus on the correct method for the second scenario.

Contextual Notes

Participants note a lack of information in their resources regarding the electric field at large distances from a charged sheet, which is contributing to the exploration of different interpretations and methods.

Fanman22
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A flat square sheet of thin aluminum foil, 25 cm on a side, carries a uniformly distributed -36 nC charge. What is the approximate electric field at the following positions?

a.)0.01m above surface?
b.) 20m above the sheet?


For a.), I used E=chargedensity/(2)epsilon. From my understanding, this can only be used for points far from the edges and close to a surface.

So for b.), this formula does not apply. I cannot find anything in my notes or the text that describes this situation.

Any suggestions?
 
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Fanman22 said:
For a.), I used E=chargedensity/(2)epsilon. From my understanding, this can only be used for points far from the edges and close to a surface.
Right.

So for b.), this formula does not apply. I cannot find anything in my notes or the text that describes this situation.
Hint: If you are far enough away, you can treat the object as a charged particle.
 
Fanman22 said:
So for b.), this formula does not apply. I cannot find anything in my notes or the text that describes this situation.

Try breaking it down. If the charge on the plate were a single point charge, what would the field be? If the charge was split into two point charges separated by 25 cm, how much would this change the result? What about 3 or 4?
 
damn, I tried that earlier because it seemed like as you got further and further away, the sheet would appear small (like a pt charge)...only problem was...I forgot to square the 20m
 

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