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Gauss' Law problem: determine the electric flow through a square surface due to a nearby charge

  • #1
16
0

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:

Answers and Replies

  • #2
gneill
Mentor
20,792
2,770
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?
 
  • #3
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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
 

Attachments

  • #4
Chandra Prayaga
Science Advisor
649
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You may not need to do an integration for this. Take advantage of the symmetry
 
  • #5
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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 ?
 
  • #6
gneill
Mentor
20,792
2,770
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.
 
  • #7
Chandra Prayaga
Science Advisor
649
148
The question will be, what is the closed surface on which you are applying Gauss's law, before dividing by 1/6?
 
  • #8
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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
 
  • #9
gneill
Mentor
20,792
2,770
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
Chandra Prayaga
Science Advisor
649
148
I would say, just go ahead and try it.
 

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