# Copper and aluminum are being

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

The current density for aluminum?

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

The mass per meter of the aluminum cable?

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

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