Question

The force between two objects, each of charge +Q is measured as +F when the objects are separated a distance d apart. If the charge on each object is doubled, determine the new force between them:

Answer 1

4F

Step-by-step explanation:

Answer 2

`F'=4F`

Step-by-step explanation:

According to Coulomb's law, the magnitude of the force (F) between two objects with the same charge(+Q), separated a distance (d) apart, is defined as:

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

Here k is the Coulomb constant. The charge on each object is doubled, that is
`Q'=2Q`:

`F'=(kQ'^2)/(d^2)\\F'=(k(2Q)^2)/(d^2)\\F'=4(kQ^2)/(d^2)\\F'=4F`