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

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In the Drude model of electrical conduction, current density (J) is influenced by various factors, but it is not directly proportional to the average time interval between 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. The key equation for current density is J = (n.e)Vd, where n is the volume charge density and Vd is the drift velocity. Understanding the relationships between these variables is crucial for solving related problems. The discussion highlights the need for additional equations to clarify the connections between drift velocity, charge, mass of electrons, and electric field strength. Overall, the complexities of the Drude model require a deeper exploration of the underlying 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
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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