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If the distance between two charged particles is doubled, the force between them changes by a factor of

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Final answer:

If the distance between two charged particles is doubled, the force between them is reduced by a factor of four.

Step-by-step explanation:

The force between charged particles is described by Coulomb's Law. It states that the force is directly proportional to the product of the magnitudes of the charges and inversely proportional to the square of the distance between them The force between two charged particles is inversely proportional to the square of the distance between them.

If the distance between two charged particles is doubled, the force between them would be reduced by a factor of four. This means that the force would decrease to one-fourth of its original value. For example, if the force between two charged particles is initially 10 units, when the distance between them is doubled, the force would become 2.5 units.

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