So basically, if I had a coil with say a 1000 turns per inch and I dropped a magnet through it, I could momentarily power an LED or charge a capacitor. However, if I stretched this coil out and had 10 turns per inch, the LED would no longer light since the (dt) is too high. For something like a capacitor, would a long coil work just as well as a short coil if I dropped a magnet through it, with the only difference being charging time?