### Final Answer
When the distance between two charged particles is doubled, the force between them becomes one-fourth of its original value. This relationship is described by Coulomb's law, which states that the force $ F $ between two charges $ q_1 $ and $ q_2 $ is inversely proportional to the square of the distance $ r $ between them:

$$
F = k \frac{|q_1 q_2|}{r^2}
$$

If the distance $ r $ is doubled (i.e., $ r $ becomes $ 2r $), the new force $ F' $ can be expressed as:

$$
F' = k \frac{|q_1 q_2|}{(2r)^2} = k \frac{|q_1 q_2|}{4r^2} = \frac{1}{4} F
$$

Thus, the force becomes one-fourth of the original force.

Question

### Final Answer
When the distance between two charged particles is doubled, the force between them becomes one-fourth of its original value. This relationship is described by Coulomb's law, which states that the force $ F $ between two charges $ q_1 $ and $ q_2 $ is inversely proportional to the square of the distance $ r $ between them:

$$
F = k \frac{|q_1 q_2|}{r^2}
$$

If the distance $ r $ is doubled (i.e., $ r $ becomes $ 2r $), the new force $ F' $ can be expressed as:

$$
F' = k \frac{|q_1 q_2|}{(2r)^2} = k \frac{|q_1 q_2|}{4r^2} = \frac{1}{4} F
$$

Thus, the force becomes one-fourth of the original force.

Knowee AI · Accepted Answer

### Final Answer
When the distance between two charged particles is doubled, the force between them becomes one-fourth of its original value. This relationship is described by Coulomb's law, which states that the force $ F $ between two charges $ q_1 $ and $ q_2 $ is inversely proportional to the square of the distance $ r $ between them:

$$
F = k \frac{|q_1 q_2|}{r^2}
$$

If the distance $ r $ is doubled (i.e., $ r $ becomes $ 2r $), the new force $ F' $ can be expressed as:

$$
F' = k \frac{|q_1 q_2|}{(2r)^2} = k \frac{|q_1 q_2|}{4r^2} = \frac{1}{4} F
$$

Thus, the force becomes one-fourth of the original force.

When the distance between two charged particles is doubled, theforce between them becomes

Question

When the distance between two charged particles is doubled, the force between them becomes

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