By what distance do two objects carrying 1.0 C of charge each have to be separated before the electric force exerted on each object is 3.0 N ?

Respuesta :

To solve this problem we will apply the definition of electrostatic force. From the variables present there and explained later we will find the value of the distance reorganizing said expression, that is

[tex]F = \frac{k q_1 q_2}{d^2}[/tex]

Here

k = Coulomb's constant

[tex]q_{1,2}[/tex] = Charge of each object

d = Distance

Replacing our values we have that

[tex]3 = \frac{(9*10^9)(1)(1)}{d^2}[/tex]

Rearranging and solving for the distance we have

[tex]d = 54772.25m[/tex]

Therefore the distance between the two objects is 54772.25m