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In household wiring, copper wire 2.05 mm in diameter is often used. Find the resistance of a 24.0-m length of this wire.

Short Answer

Expert verified

Resistance of wireR=0.125Ω

Step by step solution

01

Step 1:

Given data:

d=2.05mm=2.05×10-3mL=24.0m

The cross-section of the area of the wire is:

A=π4d2=π4×2.05×10-3m2=3.3×10-6m2

As the copper resistivity isρ=1.72×10-8Ω.m

Putting the value of ρ, now the resistance is:

R=ρLA=1,72×10-8Ω.m24.0m3.3×10-6m2=0.125Ω

Hence, the Resistance of a wire isR=0.125Ω

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