So far I've looked around at voltage regulators and have toyed with the idea with overcharging the capacitor (i.e. if i need 10 volts, charge it to 20) and connecting it to a voltage regular that outputs ten volts. I figure this will give me a 10 volt power supply until the capacitor discharges to below 10 volts (I know that in practice voltage regulators require their input voltage to be a few volts higher than the intended output but you get the point). However, I'm not sure what would happen to the current in this case. If it stays stable then that's great, however if it doesn't I'm a bit lost as to how to handle this.

On a side note, would a high current load or a high voltage load drain a capacitor faster? Assuming both use the same amount of power (i.e high current load being 10 amps at 2 volts and high voltage load being 2 amps at 10 volts). On one hand I want to say they'd drain it at the same rate, however, the explanation they give in schools of how capacitors are charged by electrons gathering on the plates makes me think that a higher current would drain it quicker since it would take less time for the coulombs of charge on either plate to leave.

Thank you.