The power line is 200 km long. For its manufacture, an aluminum wire with a cross section of 150

The power line is 200 km long. For its manufacture, an aluminum wire with a cross section of 150 mm squared was used. Amperage 150 A. Determine the line voltage.

Initial data: L (length of the power line) = 200 km (200 * 103 m); S (cross-section of aluminum wire) = 150 mm2; I (power line current) = 150 A.

Reference values: ρ (resistivity of aluminum at a temperature of 20 ºС) = 0.028 Ohm * mm2 / m.

The voltage on the power line is determined by the formula: R = U / I = ρ * L / S and U = ρ * L * I / S.

Calculation: U = 0.028 * 200 * 103 * 150/150 = 5600 V.

Answer: The voltage on the power line is 5600 V.