The speed of the electrons in the conductor

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SUMMARY

The discussion focuses on calculating the average speed of electrons in a copper conductor connected to a 220 V battery. Given the conductor's length of 10 m, cross-sectional area of 10 mm², and resistance of 0.01695 Ω, the relationship between electric current, charge concentration, and electron velocity is established. The relevant equations include I = dQ/dt and v = J/nq, where J represents current density. The user seeks assistance in determining the number of moving electrons based on these parameters.

PREREQUISITES
  • Understanding of Ohm's Law and basic electrical principles
  • Familiarity with the concepts of electric current and charge concentration
  • Knowledge of current density and its relation to electron velocity
  • Basic algebra for manipulating equations
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  • Explore the calculation of charge concentration in conductors
  • Learn about the relationship between current density and electron velocity
  • Study the effects of resistance on electron flow in conductors
  • Investigate the properties of copper as a conductor in electrical applications
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Students studying electrical engineering, physics enthusiasts, and anyone interested in understanding electron movement in conductive materials.

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Homework Statement


A copper conductor with a cross-section of A and a length of is connected to a battery with a electromotive force of U. The resistance of the conductor is R, and the internal resistance of the battery is negligible.
U = 220 V
l = 10 m
A = 10 mm2
R = 0.01695 \Omega
Determine the average speed of the electrons!


The Attempt at a Solution


I know the electric current. But I have no idea how many electrons are moving.




I'm not a native speaker. I may have grammar mistakes.
 
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I will give u all the equations u need(i think) and try to solve it by urself

I=dQ/dt
dQ=nqvAdt thus I=nqvA n is the charge concentration, v the electrons velocity, A surface area

J=I/A J is the current's density

v=J/nq

hope i helped
 

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