The current in the conductor is 2.5 A, and the voltage at its ends is 220 V. How many meters

The current in the conductor is 2.5 A, and the voltage at its ends is 220 V. How many meters of wire with a cross section of 0.4 mm2 will be required to create such a conductor if the specific resistance of the wire is 0.2 Ohm * mm2 / m?

Initial data: I (current in the conductor) = 2.5 A; U (voltage at the ends of the taken conductor) = 220 V; S (cross-section of the wire from which the conductor is made) = 0.4 mm2; ρ (resistivity of the conductor material) = 0.2 Ohm * mm2 / m.

The length of the wire, which is required to create a conductor, is determined from the equality: U / I = R = ρ * l / S, whence l = U * S / (I * ρ).

Calculation: l = 220 * 0.4 / (2.5 * 0.2) = 176 m.

Answer: To create a conductor, you need 176 meters of wire.