Magnetic field cannot accelerate a rest charged particle?

In summary: The electrons all align to the magnetic field due to the force. The magnetic field gets weaker as it does work on the electrons.
  • #1
brian.green
27
2
Let's see delocalized electron cloud on a surface of a metal (a piece of iron for example): When a strong Nd magnet get close the spin of these electrons allign to the magnetic field but the electrons don't move. Why? The force is not canceled out. Electrons should move and compressed in one half of the metal, build a charge (density) difference and therefore electric potential difference. It would be EMF and electric current could flow through a wire from one side to another.
In other hand the object get move to the magnet. How can the electrons resist and the whole object cannot? How can the electrons hold their position?
 
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  • #2
The force on an individual charged particle due to a B field is proportional to its velocity (v cross B) as well as orthogonal to it. If the particle is not moving then F=0.
(Note that in the relativistic treatment in a frame where the particle IS moving, the transformed EM field has a E component.)

The magnetic force you are imagining is based on the mental picture of a bar magnetic where the N and S poles of the dipole have some separation. They (bar magnets) behave like a balanced pair of monopoles with finite separation and so the closer pole is more strongly attracted than the opposite farther pole is repulsed. However for the electron dipoles there is insufficient separation. A better mental analog for you to use is that the electrons behave like little current loops due to their spin. A magnetic field will induce a net torque on the loop but have no net force on it.
 
  • #3
jambaugh said:
A magnetic field will induce a net torque on the loop but have no net force on it.

You mean the "spin" get "faster" due to the magnetic force? Or the energy of the magnetic force used up when electrons allign to it? By the way: the magnetic field get weaker while do work on those electrons?
 
  • #4
Not "faster" the spin will change direction but as it is quantized the magnitude remains unchanged. As to the details of the field, weaker or stronger, I am not fully sure (It has been some years since I studied this.) I think the net external field grows stronger or more extensive but much of the behavior is non-intuitive and cannot all be explained in a classical paradigm. (See Bohr-van Leeuwen theorem). I will think about your question further.
 

Related to Magnetic field cannot accelerate a rest charged particle?

1. How does a magnetic field affect a charged particle?

A magnetic field can change the direction of motion of a charged particle but cannot change its speed. This means that the particle will move in a circular or helical path, depending on its initial velocity and the strength of the magnetic field.

2. Why can't a magnetic field accelerate a rest charged particle?

A charged particle at rest has no initial velocity, so it cannot be accelerated by a magnetic field. The force exerted by a magnetic field on a charged particle is perpendicular to the particle's velocity, so there is no component of the force that can accelerate the particle in the direction of its initial motion.

3. What is the role of the Lorentz force in a magnetic field?

The Lorentz force, which is the force experienced by a charged particle in a magnetic field, is responsible for changing the direction of motion of the particle. This force is always perpendicular to both the magnetic field and the particle's velocity.

4. Can a magnetic field affect the kinetic energy of a charged particle?

No, a magnetic field cannot affect the kinetic energy of a charged particle. Since the magnetic force is always perpendicular to the particle's velocity, it does no work on the particle and therefore cannot change its kinetic energy.

5. Why is the motion of a charged particle in a magnetic field considered uniform circular motion?

A charged particle moving in a magnetic field experiences a constant force that is perpendicular to its velocity. This results in a circular motion, as the particle continuously changes direction but maintains a constant speed. This type of motion is known as uniform circular motion.

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