when electrons drift in a metal from lower to higher potential that does it mean that all the free electrons are the metal are moving in the same direction
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Yes, in a specific direction with a particular velocity possesses by each electrons.
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Hey !!
When an electric field is applied, he net drift of electrons will be from lower to higher potential while local electrons tends to collide with ion resulting in change of directions. So, not all free electons of metal will move in similar direction since drift velocity superpose only over random velocities of electrons.
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