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## Homework Statement

Given a cube with equal charges on all corners save one, find the charge on the origin.

http://img79.imageshack.us/img79/4968/cubekg7.jpg [Broken]

## Homework Equations

F = kQ

_{1}Q

_{2}

## The Attempt at a Solution

My current idea is splitting up the magnitude of all charges on the origin into their X,Y, and Z components.

Because all magnitudes are formed with right triangles I can use pythagorean theorem to solve for the components and I get:

Q1: +1 in the X

Q2: +1 in the Z

Q3: +1 in the Y

Q4: +1 in the X, Z

Q5: +1 in the X, Y

Q6: +1 in the Y, Z

Q7: +1 in the X, Y, Z

So the sum of the magnitudes acting on the origin would be +4 in all directions, and I have a feeling this is wrong.

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