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## Homework Statement

Suppose we there is a cube (a x a x a) made up of 8 protons. 1 at each point

What is the Electric Potential Energy

## Homework Equations

U=q1*q1/4*pi*epsilon_0*r

## The Attempt at a Solution

*U12 = Potential Energy to bring 2 to 1*

I'm aware of how to do the question but I'm not sure if I'm expressing it correctly. Remember that the potential energy is the work done configure this system in space.

W1=0

W2=U12

W3=U12+U13

W4=W3+U14

W5=W4+U15

W6=W5+U16

W7=W6+U17

W8=W7+U18

Then the Electric Potential Energy would be = Wtotal = W1+W2 . . . + W8

I am also aware that when I show my equation fully that some of the distances will be sqrt(2a^2)