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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 :

Answer:

We can deduce the answer by evaluating the Coulomb’s Law.

[tex]F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}[/tex]

The correct answer is (e).

Explanation:

Since the term related to the distance ‘r’ is in the denominator, it is inversely proportional to the electric force.

If the distance (r) increases by a factor of, for example, ‘3’, then the electric force would be decrease by the factor of ‘9’. So, it wouldn’t decrease by twice that factor, but decrease by the square of that factor.

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