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+2 votes
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Calculate the resistance of a copper wire 1.0 km long and 0.50 mm diameter if the resistivity of copper is 1.7 × 10-8 Ωm

2 Answers

+2 votes
by (15.0k points)
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Best answer

Length of the cable wire, l = 1 km = 1000 m

Diameter of the cable wire, d = 0.5 mm

Radius of the cable wire, r = 0.25 mm

= 0.00025 m

= 2.5 × 10-4

Area of cross-section,

A = πr2

= 3.14 × (2.5 × 10-4)2

= 0.96 × 10-8 m2

Resistivity of the copper cable wire = 1.7 × 10−8 Ω m.

To find the resistance of the copper cable,

We know that

\( = \frac I A\)

\(=\frac{1.7 \times 10^{-8} \times 1000}{19.6 \times 10^{-8}}\)

So, R = 86.73 Ω

Thus, the resistance of the copper wire, R = 86.73 Ω.

+2 votes
by (28.2k points)

Solution : 

Resistence of copper wire

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