Two charges, qA and qB, are separated by a distance, r, and exert a force, F, on each other. What new force will exist for the following scenario? Your answer should be given in multiples of F (i. e. 2F, ½F, etc.)

qA is doubled and r is doubled

Explanation:

The magnitude of the electrostatic force between two charges is given by Coulomb's law:

where:

is the Coulomb's constant

are the two charges

r is the separation between the two charges

In this problem, at the beginning we have:

is the first  charge

is the second charge

r is their initial separation

So the initial force is

Later, we have:

qA is doubled and r is doubled

This means that:

is the new charge

is the new separation

So the new force is:

no

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