(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

In the figure, particle 1 of charge +1.0 µC and particle 2 of charge -2.5 µC, are held at separation L = 7.0 cm on an x axis. If particle 3 of unknown charge q3 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the coordinates of particle 3?

x = ? cm

y = ? cm

the figure is not necessary for the question if you know that particle 2 is to the right of particle 1.

2. Relevant equations

[tex]F=\frac{kq_1q_2}{d^2}[/tex]

[tex]k=8.99\times10^{9}[/tex]

3. The attempt at a solution

Because both particles are on the x axis, to net zero force it must be on the x axis, therefore the y value is 0, and that is correct. I have attempted to use my force equation and found the value as 4.592N(in the negative direction), but that doesn't tell me anything. I also realize that the negative charge is stronger so particle 3 is going to be to the left of the two particles.

Without knowing the charge on particle 3 how can I find this distance?

Thank you in advance.

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