A positive charge Q is located at the origin....

AI Thread Summary
The discussion revolves around calculating the total electric flux through a square surface due to a positive charge Q located at the origin. The electric flux is determined using the formula Flux = E * A, with E expressed as σʹ/2€ for an infinite plane and A as L^2 for the square area. Participants discuss the application of Gauss' Law to find the total flux and the fraction that passes through the specified surface. Additionally, the geometry of a sphere inscribed around a cube with sides 2L is mentioned to illustrate symmetry, although it is not essential for the flux calculation. The conversation emphasizes understanding the relationship between electric fields and surface areas in three-dimensional space.
GaussianSurface
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Hi, I've been doing this excersice but I'm not quite sure about my answer
It says: A positive charge Q is located at the origin of a three-dimensional coordinate system. Consider and imaginary square surface of side length L and parallel to the plane y-z, as is shown in the figure. Find the total electric flux passing through the Area A.

Well, as the formula of electric flux is Flux= E*A I think that given it's a infinite plane it should be E= σʹ/2€ and the area of a square A= L^2.
Then the result should be this Flux= σʹ/2€*L^2?
 

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Can you find the radius of a sphere with an inscribed cube with sides 2L?
 
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the radius of the sphere is √2 L
the surface of the sphere is 8*π*L^2
 
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You really don't need the sphere, but it may help to illustrate the symmetry involved.
You know the total flux from Gauss' Law.
Then, what fraction of that flux passes thru the specified surface.
 
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Following @J Hann , imagine a square of side 2L as shown. The area A that you are interested in is shaded.

upload_2017-8-15_16-21-25.png


Construct a closed surface around the point charge that uses this large square as part of the total closed surface.
 
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