An aluminum wire having a cross-sectional area equal to 3.10 x 10-6 m² carries a current of 6.00 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. X The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/s

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**Problem Statement:**

An aluminum wire having a cross-sectional area equal to \(3.10 \times 10^{-6} \, \text{m}^2\) carries a current of \(6.00 \, \text{A}\). The density of aluminum is \(2.70 \, \text{g/cm}^3\). Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire.

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**Hint:**
The equation for drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? (Answer in mm/s)
Transcribed Image Text:**Problem Statement:** An aluminum wire having a cross-sectional area equal to \(3.10 \times 10^{-6} \, \text{m}^2\) carries a current of \(6.00 \, \text{A}\). The density of aluminum is \(2.70 \, \text{g/cm}^3\). Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. [Input Box for Answer] **Hint:** The equation for drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? (Answer in mm/s)
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