We can calculate this problem using the Coulomb’s Law
equation:
F = k * q1 * q2 / d^2
Where:
F = electrical force between the two particles
k = Coulumb’s law constant
q = quantity of charge
d = distance between the two particles
Let’s say that only the charge of q1 is doubled and the
distance is halved. Therefore the new force would be:
F (new) = k * 2q1 * q2 / (d / 2)^2
F (new) = 8 k * q1 * q2 / d^2
F (new) = 8 * F (initial)
Therefore the force is multiplied by a factor of 8.
