Question

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

Answer 1

The correct option is (c).

Step-by-step explanation:

The electrostatic force between charges is given by :

`F=k(q_1q_2)/(r^2)`

Where

r is the distance between charges

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

New force becomes,

`F'=k(q_1q_2)/((3r)^2)\\\\F'=k(q_1q_2)/(9r^2)\\\\F'=(1)/(9)* k(q_1q_2)/(r^2)\\\\F'=(F)/(9)`

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