How to Determine Electric Flow Through a Square Surface Due to a Nearby Charge?

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Homework Help Overview

The problem involves determining the electric flow through a square surface due to a nearby charge, specifically a load +Q positioned at a perpendicular distance from the center of the plane. The context is rooted in electrostatics and the application of Gauss's law.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the use of double integrals to evaluate the electric field and consider the implications of symmetry in the problem. There are questions about the necessity of integration and the application of Gauss's law, particularly regarding the choice of closed surface.

Discussion Status

The discussion is ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the potential use of symmetry and Gauss's law, but there is still uncertainty about the specifics of the closed surface and the application of these concepts.

Contextual Notes

There are indications that the original poster is new to the topic and may face language barriers, which could affect their understanding of the problem and the discussion.

Est120
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Homework Statement


determine the electric flow through a square surface of side 2l due to a load + Q located at a perpendicular distance l from the center of the plane

I really don't know how to answer this question .i need help guys
Thanks

Homework Equations

The Attempt at a Solution


I ended up with a doble integral ,which i had to evaluate in order to calculate the flow of electric fiele in the whole square
 
Last edited:
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Can you share the details of the the work you've done so far? Is there a figure that accompanies the problem that you can upload?
 
upload_2018-10-6_8-0-3.png
upload_2018-10-6_8-5-50.png

this would be the image ,and i tried this:
im new to this kind of things also English is not my principal language
 

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You may not need to do an integration for this. Take advantage of the symmetry
 
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Chandra Prayaga said:
You may not need to do an integration for this. Take advantage of the symmetry
Should i just apply Gauss law And multiply by 1/6 ?
 
Est120 said:
Should i just apply Gauss law And multiply by 1/6 ?
If you can assume that the Y-axis passes through the center of the square so that symmetry is preserved, then yes.
 
The question will be, what is the closed surface on which you are applying Gauss's law, before dividing by 1/6?
 
Chandra Prayaga said:
The question will be, what is the closed surface on which you are applying Gauss's law, before dividing by 1/6?
A cube ,but i don't know if it's as easy as that
 
Est120 said:
A cube ,but i don't know if it's as easy as that
Actually, it is as easy as that! (With the assumption described in post #6).
 
  • #10
I would say, just go ahead and try it.
 

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