Scalar Potential

Midas_Touch

Consider a cube of edge a. There is a point charge q at each corner. Find [tex]\phi[/tex] at the center of the face for which x=a.
The answer to the problem is [tex]\0.707*(q/\epsilon_0*a)[/tex]
I have to use the the scalar potential equation, but I have been stuck on this problem for a while. I know that I have to consider the angle which is cos45 = 0.707. I am not sure I understand what they are asking in the problem.

whozum

Consider the symmetry of the cube, and remember that the potential is the sum of the potential of each charge. There are 8 charges.

lightgrav

the "1 spot" on a dice cube ...
each charge contributes its own portion to the potential there,
since it is not the same distance from each source.