According to Coulomb's Law of Electric Force, which statement is true?

According to Coulomb's Law of Electric Force, which statement is true?

• A. The force between two charged objects is directly related to the distance between them.
• B. The force remains constant regardless of the distance.
• C. The force between two charged objects is inversely related to the square of the distance between them.
• D. The force increases as the distance decreases.

Answer: (C)

The correct statement is that the force between two charged objects is inversely related to the square of the distance between them. This principle is a fundamental aspect of Coulomb's Law, which mathematically expresses that the electric force \( F \) between two point charges is given by the equation: \[ F = k \frac{{|q_1 q_2|}}{{r^2}} \] where \( F \) is the magnitude of the force, \( k \) 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 equation highlights that as the distance \( r \) increases, the force \( F \) decreases, following a relationship that inversely squares with distance. Specifically, if the distance doubles, the force is reduced to a quarter of its original value. This significant property illustrates how electric forces diminish rapidly with increasing distance, which is a core aspect of electrostatics. Other statements would not accurately represent Coulomb's Law. For example, stating that the force is directly related to the distance contradicts the inverse square relationship established by the law. Similarly, suggesting

The correct statement is that the force between two charged objects is inversely related to the square of the distance between them. This principle is a fundamental aspect of Coulomb's Law, which mathematically expresses that the electric force ( F ) between two point charges is given by the equation:

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

where ( F ) is the magnitude of the force, ( 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 equation highlights that as the distance ( r ) increases, the force ( F ) decreases, following a relationship that inversely squares with distance. Specifically, if the distance doubles, the force is reduced to a quarter of its original value. This significant property illustrates how electric forces diminish rapidly with increasing distance, which is a core aspect of electrostatics.

Other statements would not accurately represent Coulomb's Law. For example, stating that the force is directly related to the distance contradicts the inverse square relationship established by the law. Similarly, suggesting