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Coulomb's Law (Electricity and Magnetism) Question

1. 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

2. 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.

3. 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!
 

Answers and Replies

312
0
Sum up the forces for q1, q3, and q5. You shoud have 3 equations and 2 unknowns, because you know the distance each force acts over
 

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