If everything else remains the same, but the charges of two objects are each doubled, the electrostatic force between them will be __________ times what it was before.

Respuesta :

Answer:

Four times

Explanation:

The electrostatic force between the two charges is given by :

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

d is the distance between two charges

k is electrostatic constant

When both charges are doubled, [tex]q_1'=2q_1\ \text{and}\ q_2'=2q_2[/tex], new force is given by :

[tex]F'=\dfrac{kq_1'q_2'}{d^2}\\\\F'=\dfrac{k(2q_1)(2q_2)}{d^2}\\\\F'=4\times \dfrac{kq_1q_2}{d^2}\\\\F'=4F[/tex]

So, the electrostatic force between them will be four times what it was before.