The force of interaction of point charges is 1 mN. determine the magnitude

The force of interaction of point charges is 1 mN. determine the magnitude of these charges if they are located at a distance of 0.03 m from each other?

To determine the magnitude of the charges under consideration, we apply Coulomb’s law (we assume that point charges are the same): F = k * q1 * q2 / r ^ 2 = k * q ^ 2 / r ^ 2, whence q = √ (F * r ^ 2 / k).

Variables and constants: F – force of interaction (F = 1 mN = 1 * 10 ^ -3 N); r is the distance between the required charges (r = 0.03 m); k – coefficient of proportionality (k = 9 * 10 ^ 9 N * m2 / Cl2).

Let’s calculate: q = √ (1 * 10 ^ -3 * 0.032 / (9 * 10 ^ 9)) = 10 * 10 ^ -9 C (10 nC).

Answer: The required value of each charge is 10 nC.