In an NMR experiment, I the local magnetic flux density of an iron sample was found to be roughly 33 T, by checking for a resonance frequency of the magnetic dipoles. How can it be that such a high field is measured, when the sample itself doesn't have a magnetic field of its own?
The spins precess around the z-axis in an applied field, which would explain how the x- and y-components of the magnetic momenta are cancelled out in such a large number of nuclei. The z-components don't seem to cancel though, and also assuming a Boltzmann distribution on the two possible energy states (for Fe-57, spin up and down), almost all occupy the lower state, so there is also no balance.