Capacitive Power Supply

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See Wikipedia for formulas - https://en.wikipedia.org/wiki/Capacitive_power_supply
Small lightweight power supply for low current
0.05F capacitor at 120V gives 2160A - I=C dV/dt =2 pi *0.05*120*60 => what is the limit that prevents or allows this huge current to happen?

Sourcing

0.05F capacitor - 270V - $7 - [1]

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