We have a permanent saturated magnet. And a coil wound around it. The current produces magnetic field in same direction as the magnet. Now we know that the energy of magnetic field is proportional to the square of the magnetic induction. E1=kB12 E2=kB22 Etotal=kB12+kB22+2kB1B2 We have an extra energy term when we add the fields. It grows proportionally with the current in the coil. The extra energy has to come from somwhere, or does it? The magnet appears to be doing work in increasing the field. This is fully compatible with Poynting Theorem. The integral of the dot product of the electric field and current density is equal to the increased energy. However, what that force is trying to do is to spin down the magnetic domains, which it can't do. So the electric force simply has no effect on the domains. Where does the extra energy come from? If we increase the current to a very large value, can we then cool down the magnet, it to lose its magnetism, and it gives a much larger energy "boost" to the coil than the energy we spend?