Which of the following statements accurately reflects the relationship between force and distance in Coulomb’s Law?(1 point)

Responses

They are proportional; as distance increases, the force between two charges will also increase.
They are proportional; as distance increases, the force between two charges will also increase.

They are inversely proportional; as distance increases, the force between two charges will also increase.
They are inversely proportional; as distance increases, the force between two charges will also increase.

They are proportional; as distance increases, the force between two charges will decrease.
They are proportional; as distance increases, the force between two charges will decrease.

They are inversely proportional; as distance increases, the force between two charges will decrease.

1 answer

The correct statement is:

They are inversely proportional; as distance increases, the force between two charges will decrease.

In Coulomb's Law, the magnitude of the electrostatic force \( F \) between two point charges is given by the equation:

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

where \( k \) is Coulomb's constant, \( q_1 \) and \( q_2 \) are the magnitudes of the charges, and \( r \) is the distance between the centers of the two charges. This shows that the force decreases with the square of the distance, meaning that as the distance increases, the force decreases, hence they are inversely proportional.