# Total Energy calculation of permanent magnet

1. Nov 9, 2009

### Shantaram

Does anyone know how to calculate the total energy of magnet?
Thanks!

2. Nov 9, 2009

### Staff: Mentor

Welcome to the PF. What is the context of your question? Is it a school question, a school project, or for personal interest? What do you know about magnets and energy so far? Do you mean the energy required to initially magnetize a permanent magnet, or the energy available from a permanent magnet to do work on something? What kind of something?

3. Nov 9, 2009

### Shantaram

Its my personal interest to know about the permanent magnet.
I meant,total energy avilable from the magnet to do some work.

4. Nov 9, 2009

### Born2bwire

Probably the best way to do it is to calculate the energy contained in the magnetic fields created by the magnet. But that is probably not the same as the total energy available. It is an interesting question to ponder about whether or not we could actually extract all the energy from a magnet through its magnetic field interactions. This is because the force exerted is proportional to the field strength. As we extract energy from the magnetic fields, their strength must decrease to reflect the appropriate reduction in the energy density of the fields. Thus, the amount of mass that can be moved decreases since we have to overcome such environmental forces as gravity or friction.

EDIT: Not only that but a magnet field is conservative. If I use a magnet to draw close a pin, it exerts force and expends energy. However, if I take the pin and move back to its original position, I give back the same energy to the magnetic field. So now we have a problem, lets say we have millions of these pins and we want to extract all the energy by having the magnet pull in these pins. But we cannot clear away the pins after they are pulled in since this returns energy to the magnet. So now the pins have to pile up on th magnet, this means that the next pin can only be pulled in over a smaller and smaller distance. And the farther we go away from the magnet, the weaker the field is. So the energy in the fields is locked in locally to the magnet. It is another problem to get at this energy without being forced to use objects to heavy to pull in and too low in density to pull in a large number to a close proximity.

5. Nov 10, 2009

### Shantaram

Thanks!
Yes, you are right.The magnetic field is change with respect to varying airgap between poles.
can I get any brief information on this?