There was a thread on this a while back:
http://www.satelliteguys.us/xen/thr...ar-joey-vs-wireless-joey.355807/#post-3787091
You should be able to read the back of each Joey and see what the power requirements are then look at the different power supplies to see what they are rated at. Should be a sticker or molded into the power supply itself. Voltages should be the same (12V) but I do not have a 1 and 2 unit to compare if the current (A) requirement is different. I know the wireless Joeys do require more more current.
I would never use a power supply that is rated LOWER in current than what the device you are connecting it to requires. Higher rated power supply for current is OK as long as the voltages are the same, which for the Joeys they should be.