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Problem: The electron drift speed in a 3.00-mm diameter gold wire is 5.00×10-5 m/s. How long does it take 1 mole of electrons to flow through a cross section of the wire?

FREE Expert Solution

Current and drift velocity in a conductor are related by the equation:

i=nAevd

Free electrons through the wire produce a current that can be expressed as:

i=Net, where N is the number of free electrons through the wire.

Comparing the two equations, we solve for t as follows:

Net=nAevdt=NenAevd=NnAvd

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Problem Details

The electron drift speed in a 3.00-mm diameter gold wire is 5.00×10-5 m/s. How long does it take 1 mole of electrons to flow through a cross section of the wire?

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