A chunk of metal has an irregular shaped cavity inside of it, there are no holes

Question

A chunk of metal has an irregular shaped cavity inside of it, there are no holes and the cavity is completely surrounded by metal. The metal chunk is struck by lightning wich produces huge electric fields and deposits an unknown amount of charge on the metal, but does not burn a hole into the cavity. I have to show how lightning does not create an electric field inside of the cavity. I know that there are two different equations but do not understand how to apply them, I have been working on this going on 3 hrs, Please help me, Please!!!

Explanation / Answer

explain using gauss low if there is no charge inside the cavity net electric field is zero at all pont in cavity.

charge on the surface of cavity is distributed so that each pont is equipotential because it is a conductor and if a poit is not at same potential as other charge will redistribute in conductor and make it equipotential.

So net electric field in cavity is Zero if there is no charge placed in the cavity

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