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There is quite a bit of current in a laptop battery, enough to stop a heart.

But I believe that what kills you is the voltage and not the current.

Actually it is the current.

Apparently it is not that simple to conclude, yeah the current burn tissues but you need certain amount of voltage to break the human body resistance:

http://www.allaboutcircuits.com/vol_1/chpt_3/4.html

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