Can external current pass through Faraday cage,like thunder?

AI Thread Summary
A Faraday cage is designed to block external electric fields, preventing them from affecting the interior space. In an ideal scenario, a solid conducting shell would ensure no electrical fields penetrate inside. However, practical cages often consist of fine mesh, which could theoretically allow extremely powerful currents, such as those from lightning, to enter. Proper grounding enhances the cage's effectiveness against lightning strikes. Ultimately, while a well-constructed Faraday cage significantly reduces electrical interference, its mesh design introduces some vulnerability to intense external currents.
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Can external current pass through Faraday cage,like thunder? Will be there electrical field, inside the Faraday cage?
 
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In the ideal case, the Faraday cage should be an unbroken hollow conducting shell. Then there cannot be any electrical field inside due to outside fields. In practice, it is made of fine mesh, and connected to the ground, that is earthed.

A heavy duty properly grounded cage will prevent lightning from passing through. But, theoretically, it's possible to imagine an exceptionally powerful bolt of lightning entering it, because it's a mesh, not an unbroken hollow shell.
 
Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

Thread 'Motional EMF in Faraday disc, co-rotating magnet axial mean flux'

So here is the motional EMF formula. Now I understand the standard Faraday paradox that an axis symmetric field source (like a speaker motor ring magnet) has a magnetic field that is frame invariant under rotation around axis of symmetry. The field is static whether you rotate the magnet or not. So far so good. What puzzles me is this , there is a term average magnetic flux or "azimuthal mean" , this term describes the average magnetic field through the area swept by the rotating Faraday...
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