Formula for force in magentic field

In summary, the formula for force in a magnetic field, F = qvBsinθ, is used to calculate the force (in Newtons) on a charged particle moving with a velocity (in meters per second) in a magnetic field with a strength (in Teslas) and at an angle (in degrees). The direction of the force is determined by the right-hand rule and the angle θ represents the angle between the velocity and magnetic field vectors. This formula is used in practical applications such as particle accelerators, cathode ray tubes, electric motors, and MRI machines. Each variable in the formula has a corresponding SI unit, with force in Newtons, charge in Coulombs, velocity in meters per second, magnetic field strength
  • #1
anam
1
0
Does anyone have formulas for working out the attracting force of a ferromagnetic object while in a magnetic field.

I am looking at in particular the force of an object if caught in the magnetic field of an MRI scanner, or the missile effect as it is called.

Anam
 
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  • #2
The energy in a magnetic field is [tex]\frac{B^2}{2\mu}[/tex] where [tex]\mu[tex] is the permittivity.

To get the force, I think you'll have to integrate the total energy of the magnetic field as a function of position, and take the partial derivative with respect to position.
 

What is the formula for force in a magnetic field?

The formula for force in a magnetic field is F = qvBsinθ, where F is the force in Newtons, q is the charge of the particle in Coulombs, v is the velocity of the particle in meters per second, B is the magnetic field strength in Teslas, and θ is the angle between the velocity and magnetic field vectors.

How is the direction of the force determined in this formula?

The direction of the force is determined by the right-hand rule, where the thumb of the right hand points in the direction of the velocity, the fingers point in the direction of the magnetic field, and the palm indicates the direction of the force.

What does the angle θ represent in the formula?

The angle θ represents the angle between the velocity of the particle and the direction of the magnetic field. If the particle is moving perpendicular to the field, θ = 90° and sinθ = 1, resulting in the maximum force.

How is this formula used in practical applications?

This formula is used in a variety of practical applications, such as in particle accelerators, cathode ray tubes, and electric motors. It is also used in the design of MRI machines, which use magnetic fields to produce images of the body.

What are the SI units for each variable in the formula?

The SI units for each variable in the formula are as follows: F (force) in Newtons (N), q (charge) in Coulombs (C), v (velocity) in meters per second (m/s), B (magnetic field strength) in Teslas (T), and θ (angle) in degrees (°).

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