Electron drift velocity

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Homework Help Overview

The discussion revolves around calculating the drift velocity of free electrons in a copper wire subjected to a potential difference. The problem involves understanding the relationship between electric field, potential difference, and the average time interval between electron collisions in the wire.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the formula for drift velocity and the role of electric field, questioning whether the electric field is simply the potential difference divided by the length of the wire. There is also a consideration of how the average time interval between collisions relates to the drift velocity calculation.

Discussion Status

Participants are exploring the connections between the electric field, potential difference, and the average time between collisions. Some guidance has been offered regarding the electric field's direction and its role in electron motion, but there is no explicit consensus on the relationship between the collision period and drift velocity.

Contextual Notes

There are references to external resources for further understanding, and participants are considering the implications of the average time interval between collisions in the context of the problem.

Brewer
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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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