Force on a Magnet Moving through a Wire Loop

In summary, the force acting on a magnetic dipole that falls through a loop of wire can be calculated by using the equations V=-d(BA)/dt and V=I*R_circuit + L*dI/dt. The B-field of the loop of wire and the potential energy U=-m*B also play a role in determining the force, which can be expressed as F=-dU/dx. However, the calculation can become complicated and nonlinear due to the resistance of the wire loop.
  • #1
dedicateddan
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Homework Statement



What is the force acting on a magnetic dipole that falls through a loop of wire?

Any sort of answer, exact, approximate or a reference to a source that covers this would be excellent. I haven't been able to find much of anything on this problem.

Homework Equations


The Attempt at a Solution



Start with:
V=-d(BA)/dt
V=I*R_circuit + L*dI/dt
B-field of a loop of wire
U=-m*B
F=-dU/dx (and this is hugely messy and nonlinear)
 
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  • #2
For openers, I believe it depends on the resistance of the wire loop.
 

FAQ: Force on a Magnet Moving through a Wire Loop

What is the force on a magnet moving through a wire loop?

The force on a magnet moving through a wire loop is known as electromagnetic force, which is the force exerted on the magnet due to the interaction between its magnetic field and the electric current flowing through the wire loop.

How is the force on a magnet moving through a wire loop calculated?

The force on a magnet moving through a wire loop can be calculated using the formula F = BIL, where B is the magnetic field strength, I is the electric current, and L is the length of the wire loop. This formula is known as the Lorentz force law.

What factors affect the force on a magnet moving through a wire loop?

The force on a magnet moving through a wire loop is affected by the strength of the magnetic field, the amount of electric current flowing through the wire loop, and the length of the wire loop. The orientation of the magnet and wire loop also play a role in determining the force.

How does the direction of the force on a magnet moving through a wire loop change?

The direction of the force on a magnet moving through a wire loop changes depending on the direction of the magnetic field, the direction of the electric current, and the orientation of the magnet and wire loop. The force is always perpendicular to both the magnetic field and the direction of the electric current.

What is the practical application of the force on a magnet moving through a wire loop?

The force on a magnet moving through a wire loop is the basis for many devices, such as electric motors and generators, which use the interaction between magnetic fields and electric currents to produce motion or generate electricity. It is also used in various scientific experiments to study the properties of electricity and magnetism.

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