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A capacitor is like a 0.001 ohm resistor when the capacitive reactance is 0.001 ohms.

Capacitive reactance, in ohms, is defined as -1 divided by 2 pi f C, where f is frequency in hertz, C is capacitance in farads, and the -1 means that current leads voltage.

Plugging in 60 Hz, and solving for C, you get 2.65 farads. That is a very large capacitor. At 6000 Hz, you get 26.5 millifards, which is still very large. At 6 MHz, you get 26.5 microfards, but at 6 MHz, you need to consider parasitic inductance.

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