Estimate the average drift speed of conduction electrons in a copper wire of cross-sectional area `2.5xx10^(-7)m_(2)` carrying current of 1.8 A. Assume the density of conduction electrons to be `9xx`10^(26)m_(3)`.

Explanation

To estimate the average drift speed of conduction electrons in a copper wire, we can use the formula that relates current (I), charge density (n), charge of an electron (e), cross-sectional area (A), and drift velocity (v_d):

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

From this formula, we can rearrange it to solve for the drift velocity \( v_d \):

\[ v_d = \frac{I}{n \cdot e \cdot A} \]

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