Find the diameter in inches of 3000ft of copper wire that has a resistance of 77.78Ω

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Find the diameter in inches of 3000ft of copper wire that has a resistance of 77.78Ω

Expert Solution
Step 1

Given:

Length of copper wire,

l=3000 ft=914.4 m

Resistance, R=77.78 Ω

Step 2

The resistivity of copper is given as ρ=1.724×10-8 Ωm

As

R=ρlAR=ρlπr277.78=1.724×10-8×914.4π×r2r2=1.724×10-8×914.4π×77.78r=6.45143×10-8 mr=2.54×10-4 m

 

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