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## Homework Statement

How much work is required to assemble eight identical point charges, each of magnitude q, at the corners of a cube of side s? Note: Assume a reference level of potential V = 0 at r = infinity. (Use any variable or symbol stated above along with the following as necessary: k

_{e}.)

## Homework Equations

Some that may be useful are

-Work = Delta U = q Delta V

Where U = potential energy and V= Electric Potential

## The Attempt at a Solution

I started by first putting the "center" of the cube at the origin of a 3D plane. From there after some Pythagorean Theorem I determined that the origin is (1/2)(sqrt3)s away from all charges q at each corner.

Noting that the initial potential difference is 0 the equation became (for these point charges) (k

_{e}q/r) Where r = s in this instance.

Thus my answer became 8(k

_{e}q/(1/2)(sqrt3)s) ... where 8 is to incorporate the fact there is 8 equal charges all the same s away.

I feel this is correct, but it is saying it is wrong. Any confirmation or corrections?