Question

Rearrange the Coulomb's Law formula to find distance(r)


`f = k \frac{(q1)(q2)}{{r}^(2) }`

Answer 1

distance in terms of force is given as

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

Step-by-step explanation:

here as we know that the force between two charges placed at distance "r" is given by Coulomb's law

It is given by the formula

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

now we have to rearrange it for finding the distance

so here we will multiply both sides by square of the distance

`f * r^2 = kq_1q_2`

now we will divide both sides force "f"

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

now square root both sides

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