I have some 11-gauge copper wire (diameter = 2.304 mm) that I want to run from my house to my shed. If I am supplying a voltage of 120 V, what is the farthest I can run my wire before my current drops below 0.5 A? (Pcopper = 1.72E-8 22m)

I have some 11-gauge copper wire (diameter = 2.304 mm) that I want to run from my house to my shed. If I am supplying a voltage of 120 V, what is the farthest I can run my wire before my current drops below 0.5 A? (Pcopper = 1.72E-8 22m)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 57PQ

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Question

How do I solve this physics question?

I have some 11-gauge copper wire (diameter = 2.304 mm) that I want to run from my house to my
shed. If I am supplying a voltage of 120 V, what is the farthest I can run my wire before my current
drops below 0.5 A? (Pcopper = 1.72E-8 22m)
92.55 km
73.40 km
58.18 km
116.75 km

Expert Solution

Step 1

$First you calculate the resistance as given that voltage, V = 120 V current, I = 0.5 A thus by ohms law R = \frac{V}{I} = \frac{120}{0.5} = 240 Ω$

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