Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 56.4 a. the resistance per unit length is to be 0.181 ω/km. the densities of copper and aluminum are 8960 and 2600 kg/m3, respectively. compute (a) the magnitude j of the current density and (b) the mass per unit length λ for a copper cable and (c) j and (d) λ for an aluminum cable.

a)

b)λ=0.83 kg/m

c)

d) λ=0.39 kg/m

Explanation:

Given that

I= 56.4 A

R= 0.181 Ω/km

Copper  :

d=8960 kg/m³

Aluminium :

d=2600 kg/m³

We know that

E= V/L

V= I R

J= E/ρ

For copper:

Mass per unit length λ

λ=0.83 kg/m

For  aluminum :

Mass per unit length λ

λ=0.39 kg/m

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