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There is a repulsive force between two charged objects when

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Answer: Both objects have charges of the same sign

When two electrically charged bodies come closer, appears a force that attracts or repels them, depending on the sign of the charges of this two bodies.

This is stated by Coulomb's Law:

"The electrostatic force
F_(E) between two point charges
q_(1) and
q_(2) is proportional to the product of the charges and inversely proportional to the square of the distance
d that separates them, and has the direction of the line that joins them"

Mathematically this law is written as:


F_(E)= K(q_(1).q_(2))/(d^(2))

Where
K is a proportionality constant.

Now, if
q_(1) and
q_(2) have the same sign charge (both positive or both negative), a repulsive force will act on these charges.

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