Point charges, `q_(1)andq_(2)`, are placed on the X-axis, with `q_(1)`, at `x=0` and `q_(2)`, at x = d. A third point charge `+Q` is placed at `x=3d//4`. If the net electrostatic force experienced by the charge `+Q` is zero, then find the ratio `q_(1)//q_(2)`.

Answer

9

Explanation

`(kq_(1)Q)/(((3d)/(4))^(2))=(kq_(2)Q)/(((d)/4)^(2))`
`(kq_(1)Q16)/(9d^(2))=(kq_(2)Q16)/(d^(2))`
`therefore (q_(1))/(q_(2))=9`