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Depends on what is between the potential difference (ie, the voltage).

If it's an evaculated tube, and the electrons are travelling between the anode and the cathode without much interference, then then a higher voltage will mean that the electrons arrive with more kinetic energy -- ie, increased velocity.

However, if there's a wire between the two voltages, then the drift velocity of the electrons (which is pretty slow to begin with) does not increase, but only the number of electrons that are drifting.

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Q: Is velocity of electrons increase by increasing voltage?
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