Two balls, located in transformer oil at a distance of r = 10 cm from each other, have the same negative charges

| September 7, 2021 | education

Two balls, located in transformer oil at a distance of r = 10 cm from each other, have the same negative charges and interact with a force of F = 0.23 mN. Determine the number of “excess” electrons n on each ball.

To find out the number of required “excess” electrons on each of the indicated balls, we use the formula: ne = q / qe = √ (Fк * r ^ 2 * εtm / k) / qe.

Const: εtm – dielectric constant of transformer oil (εtm = 2.2) k – coefficient. proportionality (k = 9 * 10 ^ 9 N * m2 / Kl); qе – electron charge (qе = -1.6 * 10 ^ -19 C).

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

Let’s perform the calculation: ne = √ (Fk * r2 * εtm / k) / qe = √ (0.23 * 10 ^ -3 * 0.12 * 2.2 / (9 * 10 ^ 9)) / (1.6 * 10 ^ -19) = 14.8 ^ 2 * 10 ^ 10 electrons.

Answer: Each of these balls should contain 14.82 * 10 ^ 10 “excess” electrons.



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