Question

coulombs law is used to predict the electric force between two charged particles. the picture shows two charged particles, q1 and q2, and the distance between their centers, r. the force between the charged particles is shown by the equation f = k (q1q2) / r², where f is the electric force, k is the coulomb constant (8.99×10⁹ nm²/c²), q1 and q2 are the charges of the particles (in coulombs), and r is the distance between the charged particles (in meters). which statement describes the relationship between the electric force and the particle charges? a. electric force is directly proportional to negatively charged particles and inversely proportional to positively charged particles. b. electric force is directly proportional to the product of the particle charges. c. electric force is inversely proportional to the product of the particle charges. d. electric force is directly proportional to positively charged particles and inversely proportional to negatively charged particles.

Explanation:

Step1: Recall Coulomb's Law formula

The formula for Coulomb's Law is $F = k\frac{q_1q_2}{r^{2}}$, where $F$ is the electric force, $k$ is the Coulomb constant, $q_1$ and $q_2$ are the charges of the particles, and $r$ is the distance between the charged particles. This shows that the electric force $F$ is directly proportional to the product of the particle charges $q_1$ and $q_2$.

Answer:

D. Electric force is directly proportional to the product of the particle charges