Find the mean time between collisions in a wire

In summary, The task is to find the mean time between collisions of electrons in a wire, using equations involving known variables like E, J, n, and q. However, the student is struggling with manipulating the equations and finding the value for q, which is the charge of the electron (1.6 x 10^-19 c). They have also noted that the greek letter in the equation is rho, not rowe.
  • #1
smashyash
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Homework Statement



I am to find the mean time between collisions of electrons in a wire and am having a difficult time manipulating equations with known variables. I am given values for E, J, n and rowe.

Homework Equations



v = (qT/m)*E
rowe = E/J
J = nqv

The Attempt at a Solution



I have tried every possible combination of ways to manipulate this equation but I guess my problem is q. I don't think I know the value or can assume it and I can't cancel it out anywhere!
 
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  • #2
isn't it just the charge of the electron (1.6 x 10^-19 c)

the greek letter is rho not rowe
 

FAQ: Find the mean time between collisions in a wire

What is the mean time between collisions in a wire?

The mean time between collisions in a wire refers to the average amount of time it takes for a free electron to collide with another particle or impurity in the wire. This is an important measure in understanding the resistance of a wire and the flow of current through it.

How is the mean time between collisions calculated?

The mean time between collisions can be calculated by dividing the average speed of the free electrons in the wire by the number of collisions they experience in a given time period. This can also be represented as the inverse of the collision rate.

What factors affect the mean time between collisions in a wire?

The mean time between collisions can be affected by the temperature of the wire, the material and impurities present in the wire, and the strength of the electric field applied to the wire. Higher temperatures and more impurities can lead to a shorter mean time between collisions, while a stronger electric field can increase the mean time between collisions.

Why is the mean time between collisions important in understanding the behavior of wires?

The mean time between collisions helps to explain the resistance of a wire and how current flows through it. It also plays a role in the efficiency of electronic devices and can impact the overall performance of a wire in a circuit. By understanding the mean time between collisions, scientists can better design and optimize electronic systems.

Can the mean time between collisions be changed?

Yes, the mean time between collisions can be changed by altering the temperature, material, and electric field of the wire. Additionally, different wire configurations and materials can also impact the mean time between collisions. Scientists continue to research and develop new ways to improve the mean time between collisions in wires for more efficient and effective electronic systems.

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