If the charge is tripled for two identical charges maintained at a constant separation, The electric force between then will be changed by what factor?

A: 1/9

B: 2/3

C: 9

D: 18

The electric force between them will be changed by the factor, E = 9

Explanation:

Given data,

The charge of the two identical charges, q = Q C

The distance between the charges, d = x

According to the Coulomb's law, the electric force between the two charges is given by,

F = k QQ / x²

Where,

k is a constant equal to 9 x 10⁹ N m² C⁻²

If the amount of charges are tripled,

F' = k (3Q) (3Q) / x²

F' = 9 k Q Q / x²

F' = 9 F

Hence, the electric force between them will be changed by the factor, E = 9