Electron drift speed in a copper wire.

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SUMMARY

The discussion focuses on calculating the electron drift speed in a copper wire with a current of 4.20E-10 A and a diameter of 0.02 cm. The formula used is v = I/(n x q x A), where A represents the cross-sectional area of the wire. Participants clarified that the density (n) of copper should be accurately determined, and the correct cross-sectional area can be calculated using the formula A = π(d/2)². The final drift speed calculation is contingent on these parameters being correctly applied.

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  • Understanding of electric current and its measurement (Amperes)
  • Familiarity with the concept of electron density in materials
  • Knowledge of basic geometry to calculate the cross-sectional area of a circle
  • Proficiency in using fundamental physics equations related to current and drift velocity
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  • Calculate the cross-sectional area of a wire using the formula A = π(d/2)²
  • Explore the relationship between current, charge, and drift velocity in conductive materials
  • Study the properties of copper, including its electron density and conductivity
  • Learn about the implications of drift speed in electrical engineering applications
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I'm really stuck on this one problem:

"A small but measurable current of 4.20E-10 A exists in a copper wire whose diameter is 0.02 cm. Calculate the electron drift speed (in meters/second)."
Source: Serway and Jewett

I know that:
I = 4.20E-10 A
n = 8960 kg/m^3
q = 1.6E-19 C
d = 2E-4 m

J = (I/A) = n x q x v
Thus, v = I/(n x q x A)

What does A stand for and how would I go about finding it? Also, am I converting things correctly and using the proper value for the density?

Any help would be greatly appreciated.
 
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A is the cross-sectional area of the wire.
 
Thank you for the hint. I found the answer now. Apparently I was getting the n density the wrong way as well.

Proper way to find n: :smile:
edens.gif


For the copper wire in the problem:
edensc.gif
 

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