Calculating Electron Drift Time in Copper Wire: Density Question

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SUMMARY

The discussion focuses on calculating the drift time of electrons in a copper wire, utilizing the given electron density of 8.4 x 1028 m-3 and a current of 7.5 x 1018 electrons/s. The wire's diameter is specified as 1.7 mm, and the length of the wire is 31 cm. The relationship between current, electron density, cross-sectional area, and drift velocity is essential for determining the time it takes for an electron to traverse the wire. The relevant formula can be found at HyperPhysics.

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  • Familiarity with current and its relation to electron flow
  • Knowledge of cross-sectional area calculations for cylindrical objects
  • Basic principles of drift velocity in electrical circuits
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  • Investigate practical applications of electron drift time in circuit design
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The density of mobile electrons in copper metal is 8.4 1028 m-3. Suppose that i = 7.5 1018 electrons/s are drifting through a copper wire. (This is a typical value for a simple circuit.) The diameter of the wire is 1.7 mm. In this case, about how many minutes would it take for a single electron in the electron sea to drift from one end to the other end of a wire 31 cm long?

Answer: in minutes please
 
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