Question

The diameter of a 12-gauge copper wire is 0.081 in. The maximum safe current it can 17) carry (in order to prevent fire danger in building construction) is 20 A. At this current, what is the drift velocity of the electrons?

Answer 1

Answer:

0.44m/s

Explanation:

drift velocity=I/nAq

diameter 12 gauge

wire=0.081inches=0.081*2.5=0.2025cm radius=0.10125cm area=pi*R^2 =20/8.5*10^22*3.14*0.10125^2*10^-4*1.6*10^-19*

V = 0.44m/s

Answer 2

The drift velocity of the electrons should be 0.44 mm/s.

Calculation of the drift velocity:

Since the diameter is 0.081 in

So, the  radius = r = 0.081 inch/2

= 0.0405 inch

Now the conversion of inches to cm should be

= 0.0405*2.54

= 0.10287 cm

Now

area = π r2

= 3.14 * (0.10287)2

= 0.0332

Now the velocity should be

v = i/(nqA)

= 20/(8.5e22*1.60e-19*0.0332)

= 0.044 cm/s

= 0.44 mm/s

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