PCB wrote:
I read somewhere that only electric currents generate magnetic fields.

That is incorrect. The intrinsic spins of elementary particles also
produce magnetic fields.


Where is the electric current in a permanent magnet?

There is none.


Is a permanent magnet a frozen electric current in matter?

No.

It seems that the electric current in a magnet would like to flow, but
it cant.

No. Iron is conductive, as are most other permanent magnets.


The bulk magnetization of a permanent magnet is due to the alignment of
spins in the constituent atoms. This cannot be understood classically,
QM is required.


Tom Roberts