Drift Velocity of Free Electrons – Rankers Physics

Basics of Current: Practice Problem & Solution

The drift velocity of free electrons in a conductor is \(v\) when a current \(i\) is flowing in it. If both the area of cross-section and current are doubled, then drift velocity will be
2v
\[\frac{v}{2}\]
v
4v

Solution Explained:

To solve this problem, we apply the core principles of Basics of Current. Understanding the underlying formula is key to arriving at the correct answer below:

Formula: \(v_d = \frac{i}{n A e}\). If both \(i\) and \(A\) are doubled, the drift velocity \(v_d\) remains unchanged as the ratio \(\frac{i}{A}\) is constant.

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