Answer:
The charge needed will be [tex]q=6.6\: \mu C[/tex]
Step-by-step explanation:
The equation of the electric force is given by:
[tex]F=k\frac{qQ}{r^{2}}[/tex]
We have the force [tex]F = 9.9 10^{-6}\: N[/tex] and the distance r = 200. k is the Coulomb constant. Q and q are the charges.
We assume we have the same charge of the particles, so we have:
[tex]q^{2}=\frac{Fr^{2}}{k}[/tex]
[tex]q^{2}=\frac{9.9*10^{-6}200^{2}}{9*10^{9}}[/tex]
[tex]q=6.6*10^{-6}\: C[/tex]
Therefore, the charge needed will be [tex]q=6.6\: \mu C[/tex]
I hope it helps you!
