Two charged particles repel each other with a force f. if the charge of one of the particles is doubled and the distance between them is halved, then the force will be

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. 

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