Does a magnetic field always do work?

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SUMMARY

Magnetic fields do not perform work on moving charges, as established by the equation W = |F||d|cosΘ, where work is zero when the angle Θ is 90°. However, magnetic fields can exert torque on magnetic moments and can do work on a magnetic moment in an inhomogeneous field, such as when electromagnets lift objects. The actual work in these scenarios is performed by the power source driving the electromagnet, as explained in David J. Griffiths' "Introduction to Electrodynamics" (3rd edition). The discussion highlights the importance of reference frames in understanding the forces and work involved.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the concept of work in physics
  • Knowledge of torque and magnetic moments
  • Basic principles of reference frames in physics
NEXT STEPS
  • Read "Introduction to Electrodynamics" by David J. Griffiths, particularly the sections on magnetic fields and work
  • Explore the concept of torque on magnetic moments in varying magnetic fields
  • Investigate the role of power sources in electromagnet applications
  • Study the atomic-level interactions in magnetic attraction between ferrous objects and permanent magnets
USEFUL FOR

Physics students, educators, and professionals in electromagnetism, as well as anyone interested in the mechanics of magnetic fields and their applications in technology.

Abdul Majid
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Magnetic field do no work.
Is this always true?
If so then what is the explanation of that crane thing?
 
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What do you mean by "that crane thing"?
 
Crane pulling a car.
 
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Using electromagnets
 
From what i know, A field (which is actually force itself presented in a two-step process) does no work only if the displacement produced by that force is in a direction perpendicular to force. i.e.,
W = |F||d|cosΘ
If Θ =90°, w=0
Here. the displacement created by the electromagnets is in the same direction as the direction of magnetic field...so work is done.
 
That is right but many authors contradict with that,they still say that magnetic fields do no work like David j griffth has said in his book.
 
A magnetic field does no work on a moving charge. But It does work on a magnetic moment by exerting a torque and twisting the moment e.g. a compass needle aligning itself to the magnetic field. And it can also do work by producing a net translational force on a magnetic moment if the field in inhomogeneous over the moment e.g. two magnets attracting one another.
 
With the example of the electromagnet lifting the car, the work is actually done by whatever power source is driving electromagnet. Griffiths explains an analogous scenario in Introduction to Electrodynamics 3e with a current loop and a metal block. The key is in accounting for the movement of the car itself towards the electromagnet, which produces a force component acting against the moving electrons in the circuitry of the electromagnet (in one frame of reference), requiring the power source driving the electromagnet to do work.

The geometry will always work out no matter which reference frame you take as static (car or electromagnet). Relative velocities change how the force is applied. This approach also works with examples like two bar magnets attracting each other, but must be explained on the atomic level.
 
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  • #10
That is perhaps in 4e of griffth.
Not that convincing i think.
 
  • #11
Laner

Would not a large permanent magnet also lift the car? Whats doing the work in that example?

What do we call the motion on a ferrous object a permanent magnet induces, and what is the name of the energy being consumed to do that work

And oh by the way , whatever we call that , it never runs out...
 
  • #12
When a permanent magnet attract an object it does work pulling the object towards itself just as the Earth's gravity pulls object to itself. the work goes into kinetic energy like a mass falling. The energy is returned when someone does work by pulling the object away from the magnet.
 
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