A charge Q is to be divided on two objects. What shouold. be the values of the charges on the objects so that the. force between the objects can be maximum?.

Explanation

Let one body have charge q and other hence Q – q
Here force between the charges F `=(Kq(Q-q))/(r^2)`
For F to be maximum `(dF)/(dq)=0`

`d/(dq)=((KqQ)/(r^2)-(Kq^2)/(r^2))=0`
`(KO)/(r^2)-(2Kq)/(r^2)=0impliesq=Q/2`
Thus we have to divide charges equally on the objects.