charging a supercap can take a very long time, in some case it will appear as a dead short
i usually use them in clock related stuff or clock backed up mcu etc ... i use an resistor to drop the inrush it create, sure it create a time constant, a simple diode and a resistor on the clock ic ....
for an 1.5 farad at 5v it take at least 15 mins to charge it, and keep 1 week of clock
10 farad is a lot ... i mean a lot loll
for sure you don't use that to filter out an psu ??