Find the amperage in a copper conductor with a length of 100 M and a diameter of 1.0 mm

Find the amperage in a copper conductor with a length of 100 M and a diameter of 1.0 mm if a voltage of 6.8 V is applied to the ends of the conductor.

Initial data: l (length of copper conductor) = 100 m; D (conductor diameter) = 1 mm; U (voltage applied to the ends of the conductor) = 6.8 V.

Reference data: ρ (resistivity of copper at normal conditions) = 0.017 Ohm * mm2 / m.

1) Determine the cross-sectional area of the copper conductor: S = 1/4 * Π * D2 = 1/4 * 3.14 * 12 = 0.785 mm2.

2) Calculate the resistance of the copper conductor: R = ρ * l / S = 0.017 * 100 / 0.785 = 2.17 Ohm.

3) Determine the current in the conductor: I = U / R = 6.8 / 2.17 = 3.13 A.