# Gauss's law and four charges

## Homework Statement

There are four charges, each with a magnitude of 3.04C. Two are positive and two are negative. The charges are fixed to the corners of a 0.124-m square, one to a corner, in such a way that the net force on any charge is directed toward the center of the square. Find the magnitude of the net electrostatic force experienced by any charge.

## Homework Equations

1) Fe=(k*q1*q2)/r2
2) E=Q/(e*A) Q(total charges); A(area); e(permittivity of free space)

## The Attempt at a Solution

I put the positive charges in diagonally opposite corners, same for the negative charges.
My first attempt was to find out the y and x axis of one positive charge by using the first equation and calculating the net force.
Then I used again the first equation for the net force between the diagonally opposite positive charges. I subtracted my second result from the first.
I thought this would be the net force experienced by every any charge. But no

Then I thought that by looking at the square as being a Gaussian surface I could use the equation but wouldn't the charges cancel out?