Two parallel conductors with currents of 40 A each are located in a vacuum.

| February 14, 2021 | education

Two parallel conductors with currents of 40 A each are located in a vacuum. Determine the distance between the conductors if a force of 1.6 mN acts on a piece of conductor 80 cm long.

To find out the distance between the indicated parallel conductors, we use the formula: FA = μ0 * I1 * I ^ 2 * Δl / (2 * Π * r) = μ0 * I2 * Δl / (2 * Π * r), from where we express: r = μ0 * I2 * Δl / (FA * 2 * Π).

Const: μ0 – magnetic constant (vacuum, μ0 = 4 * Π * 10 ^ -7 H / m).

Data: I – current in each conductor (I = 40 A); Δl is the length of the conductor segment (Δl = 80 cm; in SI system Δl = 0.8 m); FA – Ampere force (FA = 1.6 mN = 1.6 * 10 ^ -3 N).

Let’s perform the calculation: r = μ0 * I2 * Δl / (FA * 2 * Π) = 4 * Π * 10 ^ -7 * 40 ^ 2 * 0.8 / (1.6 * 10 ^ -3 * 2 * Π) = 0.16 m.

Answer: The distance between the indicated parallel conductors is 0.16 m.



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