Two balls, located at a distance of 10 cm from each other, have the same negative charges and interact with

| September 28, 2021 | education

Two balls, located at a distance of 10 cm from each other, have the same negative charges and interact with a force of 0.23 mN. Find the charge of each ball.

To find out the charge of each of the two balls, we use the formula (Coulomb’s law, we assume that these balls are located in vacuum or air): F = | q1 | * | q2 | * k / r ^ 2 = q2 * k / r ^ 2, whence we express: q2 = r ^ 2 * F / k and q = √ (r ^ 2 * F / k) = r * √ (F / k).

Const: k – coefficient of proportionality (k = 9 * 10 ^ 9 N * m2 / Kl)

Data: r – distance (r = 10 cm = 0.1 m); F is the force of interaction (F = 0.23 mN = 0.23 * 10 ^ -3 N).

Calculation: q = r * √ (F / k) = 0.1 * √ (0.23 * 10 ^ -3 / (9 * 10 ^ 9)) ≈ 1.6 * 10 ^ -8 C = 160 μC.

Answer: Each of the two balls must have a charge of 160 μC.



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