Question

Question #a20f5

Answer 1

`1/3` meters to the right of `q1` and `3` meters to the left of `q_1` (assuming `q_2` is to the right of `q_1`)

Explanation:

Electric field from `q_1` to cancel `q_2` would mean:
`E_1=E_2`

`kq_1/r^2=kq_2/(1-r)^2`
`r` is the distance from `q_1`.

Rearrange the equation and you have a quadratic equation:
`3r^2+2r-1=0`

Find the roots and you have `1/3m` (to the right) and `-3m` (to the left).