Calculate Total Collisions of Free Electrons in Extension Cord

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Homework Help Overview

The problem involves calculating the total number of collisions of free electrons in a copper extension cord given specific parameters such as current, length, diameter, charge of the electron, resistivity, and concentration of free electrons. The subject area pertains to electricity and electron behavior in conductive materials.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to relate drift velocity to the time between collisions but encounters difficulty in determining the electric field necessary for further calculations. There are inquiries about missing information and suggestions for finding answers.

Discussion Status

The discussion appears to be in an exploratory phase, with participants expressing uncertainty and seeking assistance. There is no clear consensus or resolution, and multiple interpretations of the problem are being considered.

Contextual Notes

Participants note a lack of clarity regarding the electric field and its role in the calculations, which may be a critical piece of information for solving the problem.

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A current of I=8.0\;\rm A is flowing in a typical extension cord of length L=3.00 m. The cord is made of copper wire with diameter d=1.5mm.

The charge of the electron is e=1.6 *10^{-19} C. The resistivity of copper is \rho=1.7 *10^{-8}\; Omega*m. The concentration of free electrons in copper is n=8.5 *10^{28}\;m^{-3}.

Find the total number of collisions ( N_c) that all free electrons in this extension cord undergo in one second.

I know Velocity(drift) = 3.3 * 10^-4 m/s.

I tried to relate the formula V_d = a*Tau, to find Tau the time between collisions...

However given the information I was stuck solving for a = eE/M_e, because I could not determine the electric field...

Can someone please assist me on what information I might be missing?
 
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im still stuck on this question...
 
ok so since no one seems to have a clue about this problem...

any suggestions of where I may be able to find the answer?
 

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