It depends on dimensions of the cage, of course, and in case the cage is not grounded the resulting inductive eddy currents could easily melt/ blow up the cage.

It depends on dimensions of the cage, of course, and in case the cage is not grounded the resulting inductive eddy currents could easily melt/ blow up the cage. Provided the magnetic flux is strong enough the cage also could easily be evaporated/desintegrated. See the Z-Pinch project of Sandia Labs where a tiny tungsten cage was evaporated in femtoseconds iirc. https://www.sandia.gov/z-machine/ https://www.sandia.gov/z-machine/