A potential difference v is applied across a conductor of length L. How drift velocity is related with applied electric field
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Explanation:
Electric field is what ensures that the electron moves along the conductor, so this implies
E⃗ =mqa⃗
Also, we know that the electron experiences continuous acceleration along the conductor (since the voltage increases linearly along the line of the conductor),
so a⃗ =vd→τ where τ is taken the average time constant for which the electron moves before being hit by a rigid object (the metal particles)
So, substitution gives E⃗ =mqτvd→
This shows that the drift velocity is either in the direction parallel or anti-parallel to the direction of the electric field, increases with increase of charge and electric field but decreases with the increase in the mass of the particle
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