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Which statement best explains the relationship between the electric force between two charged objects and the distance between them?

a.As the distance increases by a factor, the electric force increases by the square of that factor.
b.As the distance increases by a factor, the electric force increases by twice that factor.
c.As the distance increases by a factor, the electric force decreases by twice that factor.
d.As the distance increases by a factor, the electric force decreases by the same factor. e.As the distance increases by a factor, the electric force decreases by the square of that factor.

Respuesta :

Explanation:

The electric force between two charged particles is given by the formula as follows :

[tex]F=k\dfrac{q_1q_2}{r^2}[/tex]

Here,

k is electrostatic constant

[tex]q_1,q_2[/tex] are charges

r is the distance between charges

The above formula shows that the electric force is inversely proportional to the square of the distance between charges. It means that as the distance increases by a factor, the electric force decreases by the square of that factor. Hence, the correct option is (e).

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