7chicken7
contestada

I
A 3 C charge and a 6 C charge feel 4 N of force between them. If the 6 C is replaced
with a 3 C what will the new force be?

Respuesta :

Answer:

The new force between charges is 2 N.

Explanation:

It is given that, a 3 C charge and a 6 C charge feel 4 N of force between them.

The force between charges is given by :

[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]

r is distance between charges

Original force is :

[tex]4=\dfrac{k(3)(6)}{r^2}\ ....(1)[/tex]

If the 6 C is replaced  with a 3 C, new force between them is given by :

[tex]F'=\dfrac{k(3)(3)}{r^2}\ ....(2)[/tex]

Dividing equation (1) and (2) we get :

[tex]\dfrac{4}{F'}=\dfrac{2}{1}\\\\F'=2\ N[/tex]

So, the new force between charges is 2 N.