# Does Hall Voltage Disappear When Electric and Magnetic Forces Balance?

• Icy98
In summary, the electric force balances the magnetic force, and this prevents an increase in the hall voltage.
Icy98

## Homework Statement

Does hall voltage disappear after the electric force on charge carriers balance the magnetic force?

qE=qvB

## The Attempt at a Solution

My understanding: By placing a current-carrying conductor in a uniform magnetic field, magnetic force is exerted on the moving charges. The positive charges will be on one side and the negative charges on the other. In this way, electric field will be produced. Electric force will balance the magnetic force. Here comes the part that I am confused. When the electric force balances the magnetic force, does it mean that there's no more hall voltage??

When the electric force balances the magnetic force, the total force is zero, so the electrons don't move anymore towards one side of the wire (this is due to Newton's 1st law of motion, when total force is zero the velocity remains constant in magnitude and direction, the path of motion is a straight line) , so we won't have more increase of the hall voltage... The hall voltage is still there, we just don't have any further increase of the hall voltage.

What keeps the electrons that have accumulated on one side of the wire , separated from the positively charged ions that have accumulated on the opposite side of the wire (because they attract due to coulomb forces)?. The electrons though they are accumulated on the one side of the wire, they are still flowing there with the current (drift) velocity, the magnetic force that is exerted on them by the magnetic field cancels the electric force that is exerted on them by the positive ions of the opposite side.

Last edited:
Icy98
Delta² said:
When the electric force balances the magnetic force, the total force is zero, so the electrons don't move anymore towards one side of the wire (this is due to Newton's 1st law of motion, when total force is zero the velocity remains constant in magnitude and direction, the path of motion is a straight line) , so we won't have more increase of the hall voltage... The hall voltage is still there, we just don't have any further increase of the hall voltage.

What keeps the electrons that have accumulated on one side of the wire , separated from the positively charged ions that have accumulated on the opposite side of the wire (because they attract due to coulomb forces)?. The electrons though they are accumulated on the one side of the wire, they are still flowing there with the current (drift) velocity, the magnetic force that is exerted on them by the magnetic field cancels the electric force that is exerted on them by the positive ions of the opposite side.
I understand now. Thank you so much

## 1. What is Hall voltage and why does it disappear?

Hall voltage is the voltage that is generated across a conductor placed in a magnetic field, when a current flows through it. It disappears when the magnetic field is removed or when the current is turned off. This is because the Hall effect, which is responsible for the generation of Hall voltage, only occurs when both a magnetic field and current are present.

## 2. Can Hall voltage disappear in materials other than conductors?

No, Hall voltage can only be generated in conductors because the Hall effect relies on the movement of electrons in a conducting material. In non-conducting materials, such as insulators or semiconductors, the electrons are not free to move and therefore cannot produce Hall voltage.

## 3. Does Hall voltage always disappear when the magnetic field is removed?

Yes, Hall voltage will always disappear when the magnetic field is removed. This is because the Hall effect only occurs in the presence of a magnetic field. However, the rate at which it disappears may vary depending on the material and conditions.

## 4. Is there a way to maintain Hall voltage even when the magnetic field is removed?

Yes, there are some techniques that can be used to maintain Hall voltage even when the magnetic field is removed. One method is by using a permanent magnet, which will continue to provide a constant magnetic field even when the external magnetic field is removed. Another method is by using a ferromagnetic material, which can retain a magnetic field even after the external field is removed.

## 5. Can Hall voltage disappear in a perfect conductor?

No, a perfect conductor does not exist in reality, but in theory, it would not exhibit Hall voltage because it would have an infinite number of free electrons that could easily move without being affected by a magnetic field. Therefore, the Hall effect would not occur and Hall voltage would not be generated.

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