A silver wire has a cross sectional area a = 2.0 mm2. a total of 9.4 × 1018 electrons pass through the wire in 3.0 s. the conduction electron density in silver is 5.8 × 1028 electrons/m3 and e = 1.60 × 10-19 c. what is the drift velocity of these electrons?

2 months ago

Solution 1

Guest #4326
2 months ago
This problem uses the relationships among current I, current density J, and drift speed vd. We are given the total of electrons that pass through the wire in t = 3s and the area A, so we use the following equation to to find vd, from J and the known electron density n, so:

The current I is any motion of charge from one region to another, so this is given by:

The magnitude of the current density is:

Being:

Finally, for the drift velocity magnitude vd, we find:

Notice: The current I is very high for this wire. The given values of the variables are a little bit odd

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