Electrical flux passing through the cube

AI Thread Summary
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
Messages
673
Reaction score
204
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
1647210501510.png

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.
 
Physics news on Phys.org
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 ...
 
Thread 'Minimum mass of a block'
Here we know that if block B is going to move up or just be at the verge of moving up ##Mg \sin \theta ## will act downwards and maximum static friction will act downwards ## \mu Mg \cos \theta ## Now what im confused by is how will we know " how quickly" block B reaches its maximum static friction value without any numbers, the suggested solution says that when block A is at its maximum extension, then block B will start to move up but with a certain set of values couldn't block A reach...
TL;DR Summary: Find Electric field due to charges between 2 parallel infinite planes using Gauss law at any point Here's the diagram. We have a uniform p (rho) density of charges between 2 infinite planes in the cartesian coordinates system. I used a cube of thickness a that spans from z=-a/2 to z=a/2 as a Gaussian surface, each side of the cube has area A. I know that the field depends only on z since there is translational invariance in x and y directions because the planes are...
Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'
Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is(Figure 2): F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
Back
Top