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

In summary, the Drude model of electrical conduction shows that the current density (J) is not directly proportional to 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, or the resistivity of the wire. It is important to consider the equations for current density, drift velocity, and volume charge density to fully understand the relationship between these factors in the Drude model.
  • #1
timothyhenry
1
0

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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  • #2
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
 

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

What is the Drude Model Current Density?

The Drude Model Current Density is a theoretical model used to describe the flow of electric current in a material, specifically in metals. It was developed by physicist Paul Drude in the late 19th century and is one of the simplest models for understanding electrical conductivity in materials.

How does the Drude Model explain current flow in metals?

The Drude Model suggests that the flow of electric current in a metal is due to the movement of free electrons. These electrons are constantly colliding with the atoms in the metal, but on average, they have a net drift velocity in the direction of the applied electric field.

What is the equation for Drude Model Current Density?

The equation for Drude Model Current Density is J = nev, where J is the current density, n is the number of free electrons per unit volume, e is the charge of an electron, and v is the drift velocity of the electrons.

What are the limitations of the Drude Model?

The Drude Model is a simplified model and does not take into account the quantum nature of electrons. It also does not consider the effects of temperature and impurities on the movement of electrons, which can significantly affect the actual current flow in a material.

How is the Drude Model relevant in modern physics?

The Drude Model may be a simple model, but it laid the foundation for understanding electrical conductivity in materials and has been used as a starting point for more complex models. It also provides a basic understanding of the behavior of electrons in metals, which is still relevant in modern physics and material science research.

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