Copper and aluminum are being considered for a high-voltage transmission line that must carry a current...

Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 60 A. The resistance per unit length is to be 0.170 Ω/ km. Compute for each choice of cable material the current density. The current density for copper?

The current density for aluminum?

Compute the mass per meter of the cable for each material. The densities of the copper and aluminum are 8960 and 2700 kg/ m³, respectively. The mass per meter of the copper cable?

The mass per meter of the aluminum cable?

Solutions

Expert Solution

current density for copper = (60 * 0.170 * 10^-3)/(1.68 * 10^-8)

= 6.071 * 10⁵ A/m²

current density for aluminium = (60 * 0.170 * 10^-3)/(2.65 * 10^-8)

= 3.849 * 10⁵ A/m²

mass per meter of the copper = 8960 * (1.68 * 10^-8)/(0.170 * 10^-3)

= 0.8854 kg/m

mass per meter of the aluminium = 2700 * (2.65 * 10^-8)/(0.170 * 10^-3)

= 0.421 kg/m

genius_generous answered 1 year ago

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