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I have read a good discussion about the safety of an isolated transformer.

However, in my understanding, the secondary side of the isolated transformer is floating, so will it has a high potential difference with the Earth ground? If it does, because I am at Earth potential, will I get shock when I touch the secondary side?

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The secondary of the transformer is floating, so it's not referenced to anything (a potential difference to earth ground does not exist). You will not get a shock if you touch one terminal. Touching both terminals, however, is not recommended, as a voltage exists across them.

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  • \$\begingroup\$ Nice understatement at the end. \$\endgroup\$ – WhatRoughBeast Aug 17 '17 at 12:29

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