Question

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.

Answer 1

Four times

Step-by-step explanation:

The electrostatic force between the two charges is given by :

`F=(kq_1q_2)/(d^2)`

d is the distance between two charges

k is electrostatic constant

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

`F'=(kq_1'q_2')/(d^2)\\\\F'=(k(2q_1)(2q_2))/(d^2)\\\\F'=4* (kq_1q_2)/(d^2)\\\\F'=4F`

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