Question:medium

How is \(v_d\) affected when the length of the conductor is doubled, keeping the voltage applied across the conductor constant?

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Be careful! Look at what is constant. - If Current (\(I\)) is constant, doubling length does *not* change \(v_d\) (since \(I = neAv_d\)). - If Voltage (\(V\)) is constant, doubling length halves the electric field (\(E = V/L\)), which explicitly halves the drift velocity (\(v_d \propto E\)). Always identify the constant parameter first!
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