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1- Building codes usually limit the current carried by a No. 14 copper wire to 1

ID: 1279249 • Letter: 1

Question

1- Building codes usually limit the current carried by a No. 14 copper wire to 15 A. Many household circuits are wired with this size wire. What is the drift velocity of the electrons in this case? The diameter of No. 14 wire is 1.6 mm. Assume one conduction electron per atom in copper. The atomic weight of copper is 63.3 and its density is 8900 kg/m3.

4.89 x 10-5 m/s

4.56 x 10-4 m/s

5.52 x 10-4 m/s

4.44 x 10-2 m/s

1.65 x 10-3 m/s

The answer is

5.52 x 10-4 m/s useing the equation Vd=J/nq=I/Anq i would like to know who we got the values for n, q, and A.

Thank you in advance.

4.89 x 10-5 m/s

4.56 x 10-4 m/s

5.52 x 10-4 m/s

4.44 x 10-2 m/s

1.65 x 10-3 m/s

The answer is

5.52 x 10-4 m/s useing the equation Vd=J/nq=I/Anq i would like to know who we got the values for n, q, and A.

Thank you in advance.

Explanation / Answer

We know how to get n from the atomic number, which was given to be 63.3g/mol we convert that to 140 685.5 mol/m^3. We know that 1 mole for any element is 6.02 x 10 ^23 avogadros constant. So we multiply 140 685.5 x 6.02*10^23 to get n which is 8.85x10^28.

To get q, we know this is another constant that we should probably memorize. Which is for q it is me= 1.6 x 10^-19.
and we already know A= (3.14)*r^2
The other you should already know. Hope this helps!