Question

A transmission line cable consists of 19 strands of identical copper conductors, each 1.5 mm in diameter. The length of the cable is 2 km but, because of the twist of the strands, the actual length of each conductor is increased by 5 percent. The resistivity of the copper is 1.72 108 .M. The resistance of the cable is

Answer 1

Answer:

Resistance of the copper wire is 388.35 ohm

Explanation:

As we know by the formula of resistance we have

$R = N\frac{\rho L}{A}$

N = 19

$\rho = 1.72 \times 10^{-8}$

$L = 2(1 + 0.05) \times 10^3 m$

$L = 2100 m$

$A = \frac{\pi}{4}(1.5 \times 10^{-3})^2$

$A = 1.77 \times 10^{-6}$

now we have

$R = 19(\frac{(1.72 \times 10^{-8})(2100)}{1.77 \times 10^{-6}}$

$R = 388.35 ohm$

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Topic : Resistance of the conductor

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