Magnetic energy of charged particle?

In summary, when a charge at rest is given a sharp impulse in a uniform magnetic field, it can behave like a current carrying coil and have a magnetic moment. This magnetic moment has an energy equal to 'M.B', which may seem like an additional energy, but it is actually just another way of expressing the same kinetic energy gained from the impulsive force. Therefore, conservation of energy is still upheld in this situation.
  • #1
quawa99
67
2
Consider a situation where you have a charge at rest in a uniform magnetic field.A sharp impulse is given to the charge in a direction perpendicular to the magnetic field,if the velocity is high enough the charge which starts revolving in circular path should behave like a current carrying coil.Now we know that a current carrying coil has a magnetic moment 'M=I*A',and we also know that this magnetic moment will give an energy to it which is equal to 'M.B'.My question is what happens to conservation of energy in this case because the work done by impulsive force only gives it kinetic energy but you have another magnetic field interaction energy as mention above.
 
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  • #2
The energy of the magnetic moment is not in addition to the kinetic energy, but rather another way of expressing the same energy.
 
  • #3
Khashishi said:
The energy of the magnetic moment is not in addition to the kinetic energy, but rather another way of expressing the same energy.

Can you please justify your statement?
 

1. What is magnetic energy?

Magnetic energy is a form of potential energy that is stored in a magnetic field. It is the energy that a magnetic field has due to the magnetic forces acting on magnetic materials or charged particles.

2. How is magnetic energy related to charged particles?

Magnetic energy is related to charged particles because charged particles, such as electrons, have an electric charge and therefore can interact with magnetic fields. As the charged particles move through a magnetic field, they experience a force and this results in the transfer of energy between the particles and the magnetic field, which is known as magnetic energy.

3. How is magnetic energy of a charged particle calculated?

The magnetic energy of a charged particle can be calculated using the formula E = qVB, where E is the magnetic energy, q is the charge of the particle, V is the velocity of the particle, and B is the strength of the magnetic field.

4. What are some real-world applications of magnetic energy of charged particles?

Magnetic energy of charged particles has many practical applications, such as in generators, motors, and transformers. It is also used in particle accelerators, magnetic resonance imaging (MRI) machines, and magnetic levitation systems.

5. Can magnetic energy be converted into other forms of energy?

Yes, magnetic energy can be converted into other forms of energy, such as kinetic energy or electrical energy. For example, in a generator, the mechanical energy of a rotating turbine is converted into magnetic energy, which is then converted into electrical energy. This process is known as electromagnetic induction.

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