What is Not Directly Proportional to Current Density in the Drude Model?

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SUMMARY

In the Drude model of electrical conduction, current density (J) is not directly proportional to several factors, including the average time interval between successive collisions, the number of charge carriers per unit volume, the square of the electron charge, the electric field present in the wire, and the resistivity of the wire. The relationship is defined by the equation J = (n.e)Vd, where n represents volume charge density, e is the charge of an electron, and Vd is the drift velocity. Understanding these relationships is crucial for analyzing electrical conduction in materials.

PREREQUISITES
  • Understanding of the Drude model of electrical conduction
  • Familiarity with the equation J = (n.e)Vd
  • Knowledge of drift velocity and its relation to charge and mass of electrons
  • Basic concepts of resistivity and electric fields
NEXT STEPS
  • Research the derivation of the drift velocity in the context of the Drude model
  • Study the relationship between resistivity and current density in conductive materials
  • Explore the impact of collision time on electrical conduction
  • Learn about the role of charge carriers in different materials
USEFUL FOR

Students studying electrical engineering, physicists focusing on material conductivity, and educators teaching the principles of electrical conduction in solid-state physics.

timothyhenry
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Homework Statement


In the drude model of electrical conduction, the current density (J) is not directly proportional to :
a. The average time interval between sucessive collisions
b. the number of charge carriers per unit volume
c. The square of the electron charge
d. The electric field presents in the wire
e. Resistivity of the wire


Homework Equations


J= (n.e).Vd
J = current density
n = volume charge density
Vd = drift velocity

n = ρ.Na/Mr
Na=avogadro's number
Mr = relative mass

The Attempt at a Solution


I can't figure out the connections to the problems... There are maybe more equations to this but i don't really know which one...
 
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You need the formula for the drift velocity in terms of the charge and mass of electron, the electric field d strength, and time between collisions.

ehild
 

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