WE talk of 5 volt 1 amp stabilised here.....""" Stabilised """ is very important, your external battery MUST deliver a 5 volt 1 Amp STABILISED because if it's not stabilised, it will damage the battery of your mobius.
Mobius cam can take a 32 GO SD card no problem, but it can go up to 64 GO except that in this last case the formating is not done in FAT32 like for the 32GO cards, but is done in exFAT which coul be a problem for reading after...Some say window7 CAN HANDLE the exFAT, but I hav'nt tried....I have 2 cards of 32GO and it's plenty suficient for me at the moment
Developpers of the mobius cam recommand a KINGSTON class4 sd card, (these are z ones they use) they are cheaper than the class 10 cards, and some people have reported some bugs on the mobius with some brands of class 10 cards, but I have one sandisk class 10 n it works fine, no problems for me
Hope this helps !!!!