Question

F=kq1q2/r^2 solve for r

Answer 1

F/1= kq^1q^2/r^2
R^2F= kq^3. R^2= kq^3/F. Sq rt each side. R=. Sq rt kq^3/F

Answer 2

The formula for r is
`r=\sqrt{(kq_1q_2)/(F)}`.

Explanation:

The given formula is

`F=(kq_1q_2)/(r^2)`

We need to solve for r.

Multiply both sides by r².

`F* r^2=(kq_1q_2)/(r^2)* r^2`

`F* r^2=kq_1q_2`

Divide both sides by F.

`(F* r^2)/(F)=(kq_1q_2)/(F)`

`r^2=(kq_1q_2)/(F)`

Taking square root both sides.

`r=\pm \sqrt{(kq_1q_2)/(F)}`

In the given formula r is the distance between the q₁ and q₂. Distance can not be negative, so the formula for r is

`r=\sqrt{(kq_1q_2)/(F)}`

Therefore the formula for r is
`r=\sqrt{(kq_1q_2)/(F)}`.