drift velocity

Question

If the drift velocity of electrons in a conductor is v, what happens to it when the current is doubled (assuming constant cross-section)?

RankGuru · Accepted Answer

1. **Current Equation**: The macroscopic current $I$ is related to microscopic drift velocity $v_d$ by:
   - $I = nAev_d$.
2. **Analyze Parameters**: 
   - $n$ (charge density), $A$ (area), and $e$ (electronic charge) are constants for the given conductor.
3. **Proportionality**: $I \propto v_d$. This means current and drift velocity are directly linked.
4. **Conclusion**: If current $I$ doubles ($2I$), then the drift velocity $v_d$ must also double to **$2v$**.

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