Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area `2.0 xx 10^(-7)m^(2)` carrying a current of 3.0 A. Assume that each copper atom contributes roughly one conduction electron. The density of copper is` 9.0 xx10^(3) kg//m^(3)`, and its atomic mass is 63.5 u.

Explanation

To estimate the average drift speed of conduction electrons in a copper wire, we can follow these steps:

### Step 1: Identify the given values
- Cross-sectional area of the wire, \( A = 2.0 \times 10^{-7} \, \text{m}^2 \)
- Current, \( I = 3.0 \, \text{A} \)
- Density of copper, \( \rho = 9.0 \times 10^{3} \, \text{kg/m}^3 \)
- Atomic mass of copper, \( M = 63.5 \, \text{u} \) (where \( 1 \, \text{u} = 1.66 \times 10^{-27} \, \text{kg} \))
- Charge of an electron, \( e = 1.6 \times 10^{-19} \, \text{C} \)
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