# I Faraday cage from Gauss' law alone?

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1. Oct 21, 2016

### greypilgrim

Hi.

Is it possible to derive the properties of a Faraday cage from Gauss' law alone? I found some "derivations" which I find rather unconvincing since they somehow conclude from a vanishing flux that the E field must vanish as well.
Some slightly more elaborate derivations use a combination of Gauss' law and a closed line integral along a path partly inside the cavity and partly inside the conductor. Since all those integrals vanish, the E field inside the cavity must vanish as well, they conclude.

Does this really cover all possible cases?

2. Oct 21, 2016