Drift Velocity ambiguity in relation

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SUMMARY

The discussion clarifies the ambiguity surrounding the drift velocity equations v=(eE/m)t and v=(eE/2m)t. The first equation applies to scenarios with uniform acceleration in an electric field, starting from zero initial velocity. The second equation is relevant when the initial and final velocities are equal in magnitude but opposite in direction, resulting in a velocity difference that aligns with the first equation. Both relations are valid under different conditions, emphasizing the context of their application.

PREREQUISITES
  • Understanding of elementary charge (e) and its significance in physics.
  • Familiarity with the concepts of electric fields (E) and their effects on charged particles.
  • Knowledge of mass (m) and its role in particle dynamics.
  • Comprehension of relaxation time (t) in the context of drift velocity.
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  • Study the derivation of the drift velocity equations in the context of electric fields.
  • Explore the concept of uniform acceleration in electric fields and its implications.
  • Investigate scenarios involving initial and final velocities of charged particles.
  • Learn about the physical significance of relaxation time in particle motion.
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justwild
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How is it possible that the two relations i.e.,
v=(eE/m)t
and
v=(eE/2m)t
both holds good?
where e is the elementary charge, m is the mass of the elementary particle, E is the electric field, v is the drift velocity and t is the relaxation time.
 
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Where do you get these relations?
Maybe they refer to different situations. The first one looks like a uniform acceleration in an electric field, with 0 initial velocity.
The second one might come from a situation where the initial and final velocity have the same magnitude (butopposite direction). Note that the velocity difference is then twice this value, and therefore identical to the first setup.
 

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