In each of the two parallel conductors, the current strength is 60 A. What is the distance between the conductors

| April 12, 2021 | education

In each of the two parallel conductors, the current strength is 60 A. What is the distance between the conductors if, during their interaction, a force of 40 mN acts on a 50 cm section of the conductor.

To determine the value of the distance between the indicated conductors, we use the formula: F = μ0 * I1 * I2 * l / (r * 2Π) = μ0 * I ^ 2 * l / (r * 2Π), from where we can express: r = μ0 * I ^ 2 * l / (2Π * F).

Constants and variables: μ0 – magnetic constant (μ0 = 1.26 * 10-6 H / m); I is the current in the conductors (I = 60 A); l is the length of the conductor segment (l = 50 cm = 0.5 m); F is the force of interaction of the indicated conductors (F = 40 mN = 0.04 N).

Calculation: r = μ0 * I ^ 2 * l / (2Π * F) = 1.26 * 10 ^ -6 * 60 ^ 2 * 0.5 / (2 * 3.14 * 0.04) = 0.009 m.

Answer: The distance between the indicated conductors is 9 mm.



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