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 1.15 m of 12-gauge copper wire carrying 20.0 A. _______W (b) Repeat the calculation for a 12-gauge aluminum wire. _______W

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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 1.15 m of 12-gauge copper wire carrying 20.0 A.
_______W

(b) Repeat the calculation for a 12-gauge aluminum wire.
_______W
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Step 1

Given,

The current in the wire (I) = 20 AThe length of the copper wire (L) = 1.15 mRadius of the copper wire (r) =Diameter2=0.205×10-22=1.025×10-3m.We have to evaluate the rate at which the internal energy is produced.

 

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