Beyond Lorentz Force: Electron Circles in Magnetic Field?

In summary, when a wire is placed in a magnetic field, a Lorentz force acts on the electron causing it to change direction without a change in velocity. This is because the magnetic force is perpendicular to the velocity. However, if the force was not perpendicular, the electron would experience an ever-increasing force and velocity, violating the law of conservation of energy. It is important to note that when the electron changes direction, its velocity magnitude remains the same. This concept may cause confusion, as velocity is defined as both speed and direction.
  • #1
Entanglement
439
13
When a wire is placed in a magnetic field, Lorentz force acts on an electron in a direction perpendicular to velocity and to the magnetic field, since the magnetic force is perpendicular to the velocity the electron will only change direction with no velocity change, what happens after that, I have heard that the electron will move in circles, is that true??
 
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  • #2
A free electron moves in circles (assuming the field spreads out wide enough to cover that), but electrons in a wire cannot just leave that, so they follow the wire.
 
  • #3
We can say that if the force was not perpendicular to the velocity will have an ever-increasing force and velocity
Violating the law of conservation of energy
 
  • #4
ElmorshedyDr said:
the electron will only change direction with no velocity change

Just a very small point, but one which could cause you confusion… If the electron changes direction it's velocity is bound to change. That's because the velocity vector gives the direction of travel as well as the speed. [Velocity may be defined as the displacement (a vector) per unit time.] What you meant was that "the electron will only change direction with no speed change".
 
  • #5
Philip Wood said:
Just a very small point, but one which could cause you confusion… If the electron changes direction it's velocity is bound to change. That's because the velocity vector gives the direction of travel as well as the speed. [Velocity may be defined as the displacement (a vector) per unit time.] What you meant was that "the electron will only change direction with no speed change".
I meant the magnitude of the velocity
 
  • #6
I thought you probably did mean this, but using technical terms correctly is a good habit to get into.
 

1. What is the Lorentz Force?

The Lorentz Force is a fundamental physical law that describes the force experienced by a charged particle moving through an electromagnetic field. It is given by the equation F = q(E + v x B), where q is the charge of the particle, E is the electric field, v is the velocity of the particle, and B is the magnetic field.

2. How do electrons move in a magnetic field?

Electrons move in circular paths when they are subjected to a magnetic field. This is because the magnetic force acting on the electron is perpendicular to both the velocity of the electron and the magnetic field, causing the electron to move in a circular motion.

3. What is "Beyond Lorentz Force" in relation to electron circles in magnetic field?

"Beyond Lorentz Force" refers to the study of the motion of electrons in magnetic fields beyond the traditional understanding of the Lorentz Force. This includes the effects of quantum mechanics and special relativity, which play a significant role in the behavior of electrons in strong magnetic fields.

4. How are electron circles in magnetic field relevant in scientific research?

The study of electron circles in magnetic fields has significant implications in a variety of scientific fields, including condensed matter physics, astrophysics, and plasma physics. Understanding the behavior of electrons in magnetic fields is crucial for developing technologies such as magnetic resonance imaging (MRI) and particle accelerators.

5. Are there any real-world applications of electron circles in magnetic field?

Yes, there are many real-world applications of the behavior of electrons in magnetic fields. Some examples include MRI machines used in medical imaging, particle accelerators used in research, and magnetic levitation trains used in transportation. Understanding electron circles in magnetic fields also helps in the development of new materials and technologies.

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