Effect of varying magnetic field on a static charge

In summary: The induced emf which causes electrons to move in a wire, in electromagnetic induction, is the direct result of the ##\vec E## field which is associated with a changing ##\vec B## field.
  • #1
arul_k
95
1
I would like to know if any experiments have been conducted to determine the effect of a time varying magnetic field on a static electrically charged object.

If so, are they any links to these experiments on the web

Thanks.
 
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  • #2
Nearly every setup in electromagnetism has this in some frame for some moment in time. The variable magnetic field always comes with electric fields, and only those influence the particle (in the frame where it is at rest).
 
  • #3
Thank you for your reply.
I am aware that the electric field created by the varying magnetic field would effect a charged particle.

What I wish to know is if any experiments have been specifically conducted to observe the effect of the electric field created by a varying magnetic field on a charged object/particle.
 
  • #4
Every motor does that.

And sure, the Maxwell equations have been tested in thousands of experiments.
 
  • #5
mfb said:
Every motor does that.

And sure, the Maxwell equations have been tested in thousands of experiments.

Could you explain what you mean by every motor does that. Specifically, which experiment has been performed to test the effect of a time varying magnetic field on a static charge?
 
  • #6
arul_k said:
Could you explain what you mean by every motor does that.
Every motor has a time-varying magnetic field, and charges that do not move (at zero current) or do not move in a significant way (at typical currents) or do not move in a suitable reference frame (moving together with the charges).
Specifically, which experiment has been performed to test the effect of a time varying magnetic field on a static charge?
All basic experiments about electromagnetism do, including "move a magnet close to a conductor" in every possible way.
 
  • #7
mfb said:
Every motor has a time-varying magnetic field, and charges that do not move (at zero current) or do not move in a significant way (at typical currents) or do not move in a suitable reference frame (moving together with the charges).
All basic experiments about electromagnetism do, including "move a magnet close to a conductor" in every possible way.

Thanks mfb for your reply. I wasn't referring to induction due to a varying magnetic field. As I mentioned in my first post, I wish to know the effet of the varying magnetic field on an electrostatically charged object.
 
  • #8
The induced emf which causes electrons to move in a wire, in electromagnetic induction, is the direct result of the ##\vec E## field which is associated with a changing ##\vec B## field. By definition, emf is the line integral of ##\vec E##. The usual equation for induced emf, $$\mathcal{E} = - \frac{d\Phi_B}{dt}$$ is equivalent to $$\oint {\vec E \cdot d \vec l} = \frac{d}{dt} \int {\vec B \cdot d \vec a}$$ which in turn leads (via Stokes's Theorem) to $$\vec \nabla \times \vec E = - \frac{d \vec B}{dt}$$
 
  • #9
Electrons have an electric charge, and if they are free (in vacuum or in metals) you could even call them "electrostatically charged objects".
 

Related to Effect of varying magnetic field on a static charge

1. How does a varying magnetic field affect a static charge?

The effect of a varying magnetic field on a static charge is known as the Lorentz force. When a charged particle is placed in a magnetic field, it will experience a force perpendicular to both the direction of the magnetic field and the direction of the charge's motion. This force causes the charged particle to move in a circular or helical path, depending on the strength of the magnetic field and the velocity of the charge.

2. What factors influence the magnitude of the effect of a varying magnetic field on a static charge?

The magnitude of the Lorentz force on a static charge depends on three factors: the strength of the magnetic field, the charge of the particle, and the velocity of the particle. A stronger magnetic field will result in a greater force, while a larger charge or higher velocity will also increase the force experienced by the particle.

3. Can a varying magnetic field change the direction of a static charge's motion?

Yes, a varying magnetic field can change the direction of a static charge's motion. This is because the Lorentz force is always perpendicular to the direction of motion, causing the charged particle to constantly change direction as it moves along its circular or helical path.

4. What is the relationship between the strength of the magnetic field and the effect on a static charge?

The strength of the magnetic field has a direct relationship with the effect on a static charge. As the magnetic field becomes stronger, the Lorentz force on the charge also increases, causing a greater impact on the charge's motion and trajectory.

5. Can a varying magnetic field cause a static charge to accelerate?

Yes, a varying magnetic field can cause a static charge to accelerate. This is because the Lorentz force is proportional to the acceleration of the charged particle. As the particle moves in a circular or helical path, it is constantly accelerating towards the center of the path due to the changing direction of the magnetic force.

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