What is the drift speed of the conduction electrons in a copper wire with radius r = 900 micrometer when it has a uniform current I = 17mA? Assume that each copper atom contributes one conduction electron to the current and the current density is uniform across the wire's cross section. The density of copper is 9000 kg/m^3 and atomic mass is 63.5u .

Explanation

To find the drift speed of the conduction electrons in a copper wire with a given current, we can follow these steps:

### Step 1: Identify the given values
We have:
- Radius of the wire, \( r = 900 \, \mu m = 900 \times 10^{-6} \, m \)
- Current, \( I = 17 \, mA = 17 \times 10^{-3} \, A \)
- Density of copper, \( \rho = 9000 \, kg/m^3 \)
- Atomic mass of copper, \( M = 63.5 \, g/mol = 63.5 \times 10^{-3} \, kg/mol \)
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