Maybe the question that I ask is completely dumb because I am a complete noob in this, but please help.
So first off, my question is that if I want to charge a 2.7v 500F supercapacitor, can I charge it using a 5v solar panel which practically produces less than 2.7 ( possibly around 1.5 - 2v ), or say a hand crank which too produces a very small amount of voltage but possibly some decent current? Will I be able to charge the supercapacitor much faster by increasing the voltage or the current?
Second, if I want to use it for charging a phone (the 500F supercapacitor), how long will it take to charge my phone with, say, a 4 AH battery?
Third, the main idea I had about a supercapacitor was that it can acquire all my charges quickly and store it for a considerably longer time than a capacitor, so why not first use a capacitor which would acquire my charges very quickly and then use these capacitors to charge up my battery slowly? Is that even possible?