1. The problem statement, all variables and given/known data The main problem is if it is safe to charge a solar battery as quickly as possible assuming that I have a large current charger. Let's say I have: 70Ah Solar Battery 50 F, 15 V Ultra Capacitor C = Q/V Q = CV = (50)(15) = 750 I = Q/t It = Q = 750 Ampere-second E = 15 V P = 11,250 Watt-second so that means a fully charged capacitor has a rating of 11,250 Ws or 750 As I think with this current it is possible to charge a 70Ah solar battery in a few moments. 2. Relevant equations I've searched the net for the formula in order to know how long will it take to charge a battery and came across this: h = (Ah of battery) / (A of charger) so if we use the data above h = 70Ah / 750A h = 0.093 hr or 5.6 minutes but I'm not sure if this formula is true or not, and if it is true, is it safe for the battery to charge it for a short amount of time. 3. The attempt at a solution I keep on researching the net and asking people on the net.