What is the Flux Through Each Face of a Cube with a Corner Point Charge?

[Ed Aboud]

Homework Statement

A point charge q is placed at one corner of a cube of edge a. What is the flux through each of the cube faces?

Homework Equations

The Attempt at a Solution

I drew a diagram of the situation. I'm pretty sure that I should use Gauss' Law and some symmetry arguments but I am not sure how to integrate over the cubes faces taking into account that the electric field produced by the point charge is radially outwards, like a sphere cutting through the face of the cube ( poorly described I know, sorry).

Thanks for the help.

 

[VKint]

By Gauss's Law, the flux through the whole cube is just $$6q/\epsilon_0$$. Now, apply a simple symmetry argument to get the answer.

 

[Ed Aboud]

I'm not sure why is it 6q ? If there is only one charge of magnitude 1q surely the flux is

$$q/\epsilon_0$$

 

[Doc Al]

Right: The total flux from that charge is just q/ε₀. So what's the total flux through the cube? Through each face of the cube? (No integration needed, just symmetry.)

 

[Ed Aboud]

Ah right I see now. Thanks very much, was thinking about this completely the wrong way.

 

[FedEx]

Ah right I see now. Thanks very much, was thinking about this completely the wrong way.

So...
What is the answer you are getting?