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• hagopbul
In summary, the conversation discusses the concept of Faraday force, which is an accelerating force applied on a charged particle in a magnetic field. This force is derived from the equations for the induced emf and electric field in a changing magnetic field, and can be expressed as F = (1/2B)(dB/dt)mv. The conversation also mentions the importance of references for this force.
hagopbul
TL;DR Summary
read a paper related to electromagnetic force and it mentioned a force i didnt heard before
Hello All:

read a paper related to electromagnetic force and its applications in acceleration of charges particles , some thing came up in it , they drive a force applied on the particle called Faraday force = [1/2B]* [dB/dt]*m*v

B magnetic field , m mass of the particle , v the velocity of the particle

i couldnt find any reference to this force , and didnt help notice the momentum of the particle in the equation

Best
Hagop

Here's a scenario where the force equation ##F =\frac 1 {2B} \frac{dB}{dt} mv## arises.

Suppose there is a uniform B field in a region of space and there is a particle of mass ##m## and charge ##q## that circles the magnetic field lines with speed ##v##. The figure is drawn for positive ##q##. For nonrelativistic speeds of the particle, the radius of the orbit is determined to be $$r = \frac{mv}{qB}.$$ There is a flux of magnetic field through the circular path equal to $$\Phi = B \pi r^2.$$ If ##B## starts changing at a rate ##\frac{d B}{dt}##, then there will be an induced emf in the path of the particle equal to $$\varepsilon =\frac{d \Phi}{dt} = \frac{dB}{dt} \pi r^2.$$ The emf is due to an induced electric field ##E## and the direction of ##E## at the location of ##q## will be in the direction of ##\vec v## if ##B## is increasing in strength. The relation between ##\varepsilon## and ##E## is $$\varepsilon = E \cdot 2 \pi r.$$ Thus, there will be an accelerating electric force on the charge given by ##F = qE##.

If you put all of these relations together, you find that the accelerating force is ##F = \frac 1 {2B} \frac{dB}{dt} mv##.

Redbelly98, vanhees71, hagopbul and 3 others

## 1. What is electromagnetic force?

Electromagnetic force is one of the fundamental forces of nature that describes the interactions between electrically charged particles. It is responsible for the attraction and repulsion between particles and is essential for the formation of atoms, molecules, and all matter.

## 2. How does electromagnetic force work?

Electromagnetic force works by the exchange of virtual particles called photons between charged particles. These photons carry the force and cause the particles to either attract or repel each other, depending on their charge.

## 3. What are the applications of electromagnetic force?

Electromagnetic force has numerous applications in everyday life, including electricity, magnetism, and electromagnetism. It is also used in technologies such as generators, motors, and transformers, as well as in medical imaging and communication devices.

## 4. How is electromagnetic force related to light?

Electromagnetic force and light are closely related as light is a form of electromagnetic radiation. This means that light is made up of photons, just like the ones responsible for the electromagnetic force between charged particles.

## 5. Can electromagnetic force be shielded?

Yes, electromagnetic force can be shielded using materials such as metal or conductive polymers. These materials can block the force and prevent it from affecting other objects or devices. This is commonly used in electronics to prevent interference from external electromagnetic fields.

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