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Viliam_Bur comments on Rationality Quotes February 2013 - Less Wrong
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The capacitor is just a didactic example. Connect it across a laboratory power supply and twiddle the voltage up and down, and you get uncorrelated voltage and current signals.
Somewhere at home I have a gadget for using a computer as a signal generator and oscilloscope. I must try this.
On the other hand, I'd guess that 99% of actual capacitors are the gates of digital FETs (simply due to the mindbogglingly large number of FETs). Given just a moment's glimpse of the current through such a capacitor, you can deduce quite a bit about its voltage.