Force acting on a permanent magnet

In summary, a current carrying wire has a magnetic force that is equal to the cross product of the current length and the magnetic field.
  • #1
Jedi_Sawyer
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http://www.geocities.com/sc_cannon/filxb.bmp


A wire carrying a current I has a magnetic field from a permanent magnet crossing it at right angles. The force on the wire is equal to the cross product of Current Length with the Magnetic Field, B.

What is the force experienced by the magnet? and how do we know it?
Please do not invoke Newton's 3rd Law in the answer.
 
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  • #2
Without using Newton's 3rd law you would need to use the magnetic field of a current carrying wire and treat the permanent magnet as a sheet of current. The answer, if the problem were to be tractable, would be identical to the one given by Newton's law.
 
  • #3
I guess what I am really asking is does anyone know of any experiment that was ever performed that measured the force acting on the magnet and where I can find it. If there is then I don't have to perform it myself.

Incidentally I think that part about treating the permanent magnet as a sheet of current is incorrect as you would have to model it as an amp turn.
 
  • #4
Jedi_Sawyer said:
I guess what I am really asking is does anyone know of any experiment that was ever performed that measured the force acting on the magnet and where I can find it.

Hi, why don't u try googling ur reqd. topic... you might find several interesting links! Gud Luck :smile:
 
  • #5
Jedi_Sawyer said:
I guess what I am really asking is does anyone know of any experiment that was ever performed that measured the force acting on the magnet and where I can find it. If there is then I don't have to perform it myself.
You do realize that a large fraction of the world's electric motors work on this principle, right? I guess anyone rolling up their power window or flipping their power locks would be considered such an experiment.
 
  • #6
Yes I've searched, as far as I know this experiment has never been done before and written about. My preferred browser is Yahoo incidentally. No the fact electric motors work does not tell me what I want to know. I'll give it some more time and see if anyone knows about such an experiment.
 
  • #7
Experiments of this kind were done in the 19th century, go to your local library and look for a compilation of Faraday's notebooks.

Incidentally I think that part about treating the permanent magnet as a sheet of current is incorrect as you would have to model it as an amp turn.

The term 'amp turn' is not standard in physics, perhaps it is an engineering term that I am unfamiliar with. The hits I get on google related to this term are from crackpots building perpetual motors. In any case, of course it is appropriate to describe a permanent magnet in terms of currents, since all magnetic phenomena arise from and have to do with moving charges cf. Maxwell's equations.
 
  • #8
Jedi_Sawyer said:
No the fact electric motors work does not tell me what I want to know.
Why not? You want the force exerted on a permanent magnet by a current carrying wire, right? That's a motor.
 
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  • #9
First we use Faraday's induction equation:
where V = voltage and dA = area, n =unit vector perpindular to dA

V = - d/dt integral (B(t) dot n dA) over A

["dot" means dot product]

Magnitude of B is defined by the above equation, using defined values of volts, area, and time.

1 tesla defined as 1 volt-second per square meter as per above induction equation.

Then we calculate the force given by the Lorentz equation F = I x B
 
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  • #10
Thanks Bob, yur reply was actually too technical as I couldn't figure out what it had to do with my problem. My own qualatative analysis is that if you modeled the magnet as a loop carrying a current and crossed it with a wire carrying a current at any arc you want, since the contour Integral of the forces acting on the wire are holomorphic, yields a net force on the wire, but there is no net force on the loop as all forces cancel.

I guess the easiest thing to do now is just design and run the experiment and write about it.

Hasta
 
  • #11
Jedi_Sawyer said:
Yes I've searched, as far as I know this experiment has never been done before and written about.

The easiest way is to put your magnet on a sensitive balance with the conductor suitably supported close to it.Switch on and voila. :rolleyes:
 
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FAQ: Force acting on a permanent magnet

What is the force acting on a permanent magnet?

The force acting on a permanent magnet is known as the magnetic force. It is the force exerted by one magnet on another due to their magnetic fields.

How is the force acting on a permanent magnet calculated?

The force acting on a permanent magnet can be calculated using the formula F = m x B, where F is the magnetic force, m is the magnetic dipole moment, and B is the magnetic field strength.

What factors affect the force acting on a permanent magnet?

The force acting on a permanent magnet is affected by the strength of the magnetic field, the distance between the magnets, and the orientation of the magnets relative to each other.

What is the direction of the force acting on a permanent magnet?

The force acting on a permanent magnet is in the direction of the magnetic field lines. This means that the force is attractive when the magnets are aligned in the same direction, and repulsive when they are aligned in opposite directions.

How does the force acting on a permanent magnet change in different materials?

The force acting on a permanent magnet is stronger in materials that are more magnetically permeable, such as iron, and weaker in materials that are less permeable, such as air or water.

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