[tex]\left\{\begin{matrix} F=\frac{k.\left | q_{1}.q_{2} \right |}{OA^{2}} & & \\ F=\frac{k.\left | q_{1}.q_{2} \right |}{OB^{2}} & & \end{matrix}\right. \Rightarrow \left\{\begin{matrix} 12=\frac{k.\left | q_{1}.q_{2} \right |}{OA^{2}} & & \\ 0,48=\frac{k.\left | q_{1}.q_{2} \right |}{OB^{2}} & & \end{matrix}\right.\Rightarrow \left\{\begin{matrix} OA=\sqrt{\frac{k.\left | q_{1}.q_{2} \right |}{12}} & & \\ OB=\sqrt{\frac{k.\left | q_{1}.q_{2} \right |}{0,48}} & & \end{matrix}\right.\Rightarrow AB=\sqrt{3.k.\left | q_{1}.q_{2} \right |}[/tex]
[tex]F=\frac{k.\left | q_{1}.q_{2} \right |}{(\frac{AB}{2})^{2}}=\frac{k.\left | q_{1}.q_{2} \right |}{\frac{3k.\left | q_{1}.q_{2} \right |}{4}}=\frac{4}{3}(N)[/tex]