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: Understand the relationship between current, drift speed, and number density of conduction electrons.

The formula for current \( I \) in terms of drift speed \( v_d \), number density of conduction electrons \( n \), charge of an electron \( e \), and cross-sectional area \( A \) is given by:

\[
I = n \cdot e \cdot A \cdot v_d
...