Electric potential configuration problem

[bodensee9]

Homework Statement

Hello:
I was wondering if someone can help with the following:

The xy, xz, yz plane are all at equipotential. A charge Q is placed equidistant from all these planes. So I think the coordinate of this Q would be (d, d, d) given some d. If I wanted to find a configuration that provides the same field as this one, could I imagine a cube with side of 2d and place a charge at each corner. Say I take the potential at each of these planes to be 0.
Would I have a charge Q at (d, d, d)
-Q at (d, -d, d)
Q at (d, -d, -d)
-Q at (d, d, -d)
Q at (-d, -d, d)
-Q at (-d, d, d)
Q at (-d, d, -d)
-Q at (-d, -d, -d)?
I don't think I'd be creating a potential at the origin either? Thanks.

Homework Equations

The Attempt at a Solution

 

[cipher42]

You seem to have this one down. That should definitely do it.

To make sure your answer is right, you can always just compute the potential of such a configuration and then plug in the constraints for the given planes (x=0, y=0, and z=0) and see that the potential is zero under these conditions.

 

[bodensee9]

Thanks!