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Will a man get electrocuted if he touches a Faraday cage from inside when a high potential difference is developed between a Faraday cage and some other source? If yes then how a person wearing Faraday suits is safe while maintaining high voltage lines?

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The amount of "safeness" depends on the material of the cage.

The cage and the man are parallel resistors, right?

So, what happens when you put in parallel a very low resistor to a very high resistor? The overall resistance is closer to the low resistor, and most current flows from there. Very little current passes from the high resistor.

Example: If faraday cage is made from copper, the man is fine. If faraday cage is made from wet wood and the man is also wet. Then, man is probably doomed.

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I would be hesitant, but these Tesla-coil-show performers seem to be fine in their Faraday suits: https://www.youtube.com/watch?v=bTkjgBRiCsE

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