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

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Homework Help Overview

The discussion revolves around a problem involving electric flux due to a positive charge located at the origin of a three-dimensional coordinate system. The original poster is attempting to calculate the total electric flux through an imaginary square surface parallel to the y-z plane, given its side length L.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster proposes a formula for electric flux based on the electric field and area, questioning the application of the formula in the context of an infinite plane. Other participants discuss the relevance of a sphere inscribed around a cube and the implications of symmetry in the problem.

Discussion Status

Participants are exploring different aspects of the problem, including the use of Gauss' Law and the relationship between the total flux and the specified surface area. There is a suggestion to consider a closed surface around the charge to facilitate understanding of the flux distribution.

Contextual Notes

There is a mention of a closed surface and the symmetry involved, indicating that assumptions about the geometry may be under consideration. The original poster's approach to calculating flux may be influenced by the nature of the charge distribution and the configuration of the surfaces involved.

GaussianSurface
<Moderator's note: Moved from a technical forum and therefore no template.>

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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