Electric field on each midpoint of square of side L

In summary, the conversation discusses the calculation of the electric field at the midpoint of each side of a square with point charges of +Q on diagonal corners and -Q on diagonal corners. The equation used is E=kQ/r^2, with Ex=Ecosθ and Ey=Esinθ. The attempt at a solution involves finding the x components of each of the four electric fields and summing them, but the result does not match the solution given in the book. The discussion also touches on the importance of correctly considering the directions of the electric fields and drawing them from the point of evaluation.
  • #36
ap123 said:
From the cosθ when I took the x-component of the field.
cosθ = 1 / √5

If you're going to do it that way, isn't it cos2θ?

Never mind, I just woke up. Yes, the cosθ needs to be incorporated in my Ex3 and Ex4, making it Ex3 + Ex4 = 0.447(8/5)Q/L^2. Pardon my obtuseness.
 
Last edited:
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  • #37
If you're going to do it that way, isn't it cos2θ?
How do you get that?
I'm just taking the x-component of the vector, eg
E3x = E3 * cosθ

Edit :
Pardon my obtuseness
OK :smile:

I hope the OP has absorbed this long thread.
 
  • #38
ap123 said:
How do you get that?
I'm just taking the x-component of the vector, eg
E3x = E3 * cosθ

Edit :

OK :smile:

I hope the OP has absorbed this long thread.

So at least you & I agree, right?
 
  • #39
So at least you & I agree, right?
Yes :)
 

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