Flux linked with lower face of a cube

In summary, the problem states that a point charge q is located inside a cube with side length 2a and asks for the flux associated with the lower surface ABCD. The student recognizes that Gauss' law can be applied, but is unsure of how to connect it to the lower surface. They attempt to solve by taking the charge as q/6, but encounter difficulties. More information is needed to accurately solve the problem.
  • #1
premraj59
1
0

Homework Statement


A point charge q is placed inside a cube of side 2a. What will be the flux associated with the lower surface ABCD?

Homework Equations


I think I can apply Gauss Law here, but can't think of something connecting it with the lower surface.
∫B.dl = 1/ε° X Charge Enclosed

The Attempt at a Solution


I tried to solve it by taking charge as q/6 (as cube has 6 faces) but the solution doesn't seem to work out.
 
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  • #2
You have not given enough information. Please reproduce the problem statement exactly as given.

Also, do not just say ”it does not seem to work”. In order to help you we must know exactly what you have done and what you obtained, not a vague description.
 
  • #3
premraj59 said:
A point charge q is placed inside a cube of side 2a.
Where? At the center?

premraj59 said:
∫B.dl = 1/ε° X Charge Enclosed
That's not Gauss' law. Look it up.

premraj59 said:
I tried to solve it by taking charge as q/6 (as cube has 6 faces) but the solution doesn't seem to work out.
That should work fine, once you apply the right law. (Assuming the charge is at the center of the cube.)
 

1. What is flux linked with the lower face of a cube?

Flux linked with the lower face of a cube is a measure of the flow of a vector field through the surface of the cube's lower face. It is calculated by taking the dot product of the vector field and the normal vector of the surface.

2. How is flux linked with the lower face of a cube related to Gauss' Law?

Flux linked with the lower face of a cube is related to Gauss' Law through the concept of closed surfaces. In Gauss' Law, the flux of an electric field through a closed surface is equal to the charge enclosed by the surface divided by the permittivity of free space. Similarly, the flux linked with the lower face of a cube can be calculated by considering the flux through the entire cube, which is an enclosed surface.

3. What factors can affect the flux linked with the lower face of a cube?

The flux linked with the lower face of a cube can be affected by the strength and direction of the vector field, as well as the orientation of the cube's lower face. Additionally, any charges inside or outside the cube can also affect the flux linked with the lower face.

4. How is the flux linked with the lower face of a cube different from the flux through the entire cube?

The flux linked with the lower face of a cube only considers the flow of the vector field through the lower face, while the flux through the entire cube takes into account the flow through all six faces of the cube. The flux linked with the lower face is a component of the total flux through the entire cube.

5. What are some real-world applications of calculating the flux linked with the lower face of a cube?

The concept of flux linked with the lower face of a cube is commonly used in the study of electromagnetism, specifically in understanding the behavior of electric fields and charges. It can also be applied in fluid dynamics, for example, in calculating the flow of a fluid through a particular surface. Additionally, the concept of flux can also be used in understanding heat transfer and radiation.

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