Electrical flux passing through the cube

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The discussion focuses on solving an electrical flux problem using a cube instead of cylindrical coordinates. Participants emphasize the application of Gauss's law, particularly in proving that the electric flux through the cube equals q/ε0. The importance of symmetry in integrating the flux is highlighted, suggesting that knowledge of the electric field can simplify the process. Questions arise about the relevance of surface shape in the equations used. Overall, the conversation centers on finding a method to calculate electric flux through a cube while adhering to established principles of electromagnetism.
MatinSAR
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Homework Statement
Consider a rod with an electric charge density λ that passes through the center of the cube. Prove that the electric flux passing through this cube is equal to = q / ε0
Relevant Equations
Gauss's law
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Picture for better understanding.
My answer :
1647211185819.png


I want to know how to solve this problem without using cylindrical. I mean how can we solve this using cube and its sides.
Thanks.
 
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MatinSAR said:
Relevant Equations:: Gauss's law

I want to know how to solve this problem without using cylindrical. I mean how can we solve this using cube and its sides.

What about your relevant equation ?

##\ ##
 
BvU said:
What about your relevant equation ?

##\ ##
Thank you ... but what do you mean by relevant equation?
 
Does your relevant equation worry about the shape of the surface ?

[edit]On the other hand,
Prove that the electric flux passing through this cube is equal to = q / ε0
could be interpreted as an invitation to show that for this case the gauss identity holds. In that case you could actually integrate the flux: you know the electric field (right?) and can benefit from symmetry.

##\ ##
 
Last edited:
BvU said:
Does your relevant equation worry about the shape of the surface ?
I guess no it doesn't ... Thank you for your help ...
 
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