From Columb's Law which describe the electrostatic interaction. The formula is given and looks as follows [tex]F=k \frac{|q1*q2|}{r^{2} } [/tex] where: F is force acting between charges, q1 - charge one given in columbs, q2 - charge two given in columbs, r - distance between charge in meters k - constant
First, we have to convert out formula to get r. [tex]F=k \frac{q1*q2}{r^{2} } [/tex] Now we multiplaty by [tex]r^{2} [/tex] both sides of equation [tex]F* r^{2} =k*|q1*q2|[/tex] Now we devide both sides by F [tex] r^{2} =k \frac{|q1*q2|}{F} [/tex] Next step is take square root [tex]r= \sqrt{k \frac{|q1*q2|}{F}} [/tex] We have all date, we can subsitute it to our formula [tex]r= \sqrt{k* \frac{|q1q2"}{F} } = \sqrt[2]{8.9* 10^{9* \frac{0.001*0.001}{200} }} = 6.67 [m][/tex]
