Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities) (a) Calculate the rate at which internal energy is produced in 1.45 m of 12-gauge copper wire carrying a current of 20.0 A? (in watts) (b) Repeat the calculation for a 12-gauge aluminum wire. (in watts)   Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 61P
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Residential building codes typically require the use of 12-gauge copper wire (diameter 0.205 cm) for wiring receptacles. Such circuits carry currents as large as 20.0 A. If a wire of smaller diameter (with a higher gauge number) carried that much current, the wire could rise to a high temperature and cause a fire. (Table of resistivities)

(a) Calculate the rate at which internal energy is produced in 1.45 m of 12-gauge copper wire carrying a current of 20.0 A? (in watts)

(b) Repeat the calculation for a 12-gauge aluminum wire. (in watts)
 

Explain whether a 12-gauge aluminum wire would be as safe as a copper wire.
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