Electron drift velocity

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To calculate the drift velocity of free electrons in a copper wire with a 3.0V potential difference over 0.5m, the electric field (E) is determined to be 6 V/m, using the formula E = V/L. The drift velocity (V_d) can be calculated using the equation V_d = (eEτ)/m, where τ is the average time interval between collisions, given as 2.7 x 10^-14 s. The discussion clarifies that the electric field acts longitudinally along the wire, facilitating electron movement. Understanding the average time between collisions is crucial, as it influences the drift velocity by affecting how quickly electrons can accelerate before colliding with atoms in the wire. The connection between these concepts is essential for accurately determining the drift velocity in conductive materials.
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Question asks:

A potential difference of 3.0V is applied to the ends of a copper wire which is 0.5m long. In copper at room temperature, the average time interval between collisions is \tau = 2.7*10^{-14}s. What is the drift velocity of the free electrons in the wire?

Well, I know that V_{d} = \frac{eE\tau}{m}, but is E (electric field), just V/d? So it would be 6 (3/0.5)?

If it is that I thought that the electric field was radial due to the wire, and it seems to me that it should be along the wire for the electons to move.
 
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V/L is the longitudinal electric field inside the wire and is responsible for exerting a force on a free electron, which is then accelerated along the length of the wire. Then obviously there will be interactions with the atoms in the material, which affect the path/motion of the electrons.

So yeah E = V/L
 
Thank you.
 
So what is the connection of the period(average time interval) between collisions on the problem?
 
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