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## Homework Statement

Five point charges on a straight line are seperated by a distance of 0.01 m. For what values of q2 and q4 would the net force on each of the other three charges be zero?

q1-----q2-----q3-----q4-----q5

Where:

q1= 2x10^-6 C

q3= 1x10^-6 C

q5= 2x10^-6 C

## Homework Equations

Force = (q1q2K)/r²

Where q are the charges, K is a constant (8.99x10^9) and r is the distance between the charges.

The problem is solved using a free body diagram and a summation of forces.

## The Attempt at a Solution

I have no idea as to how to approach this problem, I'm not looking for a full solution but for some advice. My main questions are; how do I deal with the forces and their directions? Then how can I use algebra to optain the values of q2 and q4?

Thanks!