Answer:
F' = 16 F
Hence, the electric force between charges becomes sixteen times its initial value.
Step-by-step explanation:
The electric force between the two charges is given by the Colomb's Law:
------------------- eq(1)
where
F = electric force
K = Colomb's Constant
Q₁ = magnitude of the first charge
Q₂ = magnitude of the second charge
R = Distance between charges
Now the magnitudes of the charges are doubled and the distance between them is halved. Therefore:
using equation (1):
F' = 16 F
Hence, the electric force between charges becomes sixteen times of its initial value.