How does the velocity of electrons depend on the voltage across a conductor?

In summary, the velocity of electrons in a conductor is directly influenced by the voltage applied across it. As the voltage increases, the electric field strength also rises, causing electrons to accelerate more rapidly. This results in higher drift velocity, meaning that electrons move faster through the conductor. The relationship is described by the equation v = I/nqA, where v is the drift velocity, I is the current, n is the charge carrier density, q is the charge of the electron, and A is the cross-sectional area of the conductor. Thus, higher voltage leads to increased electron velocity, enhancing the overall current flow.
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DyerMaker
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How exactly the velocity of the electrical conductor's electrons depends on the voltage of the conductor?
How exactly (what is the function?) the velocity of the electrical conductor's electrons depends on the voltage of the conductor?
 
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kuruman said:
See here.

Notice that electron mobilty has the units of diffusivity/Volt. This reminds us of the physics I think.,
 

FAQ: How does the velocity of electrons depend on the voltage across a conductor?

1. How does increasing the voltage across a conductor affect the velocity of electrons?

Increasing the voltage across a conductor generally increases the electric field strength, which in turn accelerates the electrons. As the electric field becomes stronger, the electrons gain more kinetic energy and thus move faster through the conductor.

2. Is there a direct relationship between voltage and electron velocity?

Yes, there is a direct relationship between voltage and electron velocity, but it is not strictly linear. The velocity of electrons increases with voltage, but factors such as the material of the conductor and temperature can affect this relationship.

3. What is the role of resistance in the relationship between voltage and electron velocity?

Resistance opposes the flow of electrons, and it affects how much current flows for a given voltage. According to Ohm's law, higher resistance at a given voltage results in lower current, which can lead to a slower average drift velocity of the electrons in the conductor.

4. How do temperature changes influence electron velocity in a conductor?

Temperature changes can influence electron velocity by affecting the resistance of the conductor. As temperature increases, the lattice vibrations in the conductor also increase, which can lead to more collisions and a decrease in the average velocity of the electrons, even if the voltage is held constant.

5. Can the velocity of electrons exceed the speed of light when voltage is increased?

No, the velocity of electrons cannot exceed the speed of light in a vacuum. While electrons can gain high velocities in a conductor when voltage is increased, their speed will always remain below the speed of light due to relativistic effects as they approach that limit.

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