Two identical conducting spheres are charged by induction and then separated by a large distance, sphere 1 has charge +Q and sphere 2 has charge -Q. A third sphere is initially uncharged. If sphere 3 is touched to sphere 1 and separated and then touched to sphere 2 and separated what is the final charge on each of the three spheres?

Explanation

Due to conversation of charge, it is clear from figure that
`Q_(1)=(Q)/(2),(Q_2)=-(Q)/(4)` and `Q_(3)=-(Q)/(4)`