PLS HELP!

How will the electrostatic force be changed if the distance between two electric charges is tripled?

A)9 times the original force B)1/3 of the original force C)1/9 of the original force D)3 times the original force

Respuesta :

Answer:

The correct option is (c).

Explanation:

The electrostatic force between charges is given by :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]

Where

r is the distance between charges

If the distance between two electric charges is tripled, r' =3r

New force becomes,

[tex]F'=k\dfrac{q_1q_2}{(3r)^2}\\\\F'=k\dfrac{q_1q_2}{9r^2}\\\\F'=\dfrac{1}{9}\times k\dfrac{q_1q_2}{r^2}\\\\F'=\dfrac{F}{9}[/tex]

So, the new force becomes 1/9 of the original force. The correct option is (c).