IF you have even cheap a $3 digital meter that reads voltages then yes you do have a meter that will read current not much more than 10A max, but it will indeed read current. When you can, post a picture of the meter you have, we can then talk you through the correct settings to get current readings. We've helped people do this a few times
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Could you post pics of the front and back of the panels?
Also , could you let us know what type of battery this is, NiCd, NiMH, Lithium , a pic would help too.
I'm thinking with that size battery it's possible lead based or a RC style battery pack.
Birdhouse. U do have it correct for your setup! and yes Ebay can certainly help with getting some pretty useful stuff.
GHurd's charge controller could possibly help, but I've not heard of him dropping to output to 6Vdc.
The 10W 12Vdc panel would also work, as the battery would hold the panel down to its voltage until it started getting charged, then it could be a problem with overcharging
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However, since he has the two panels and IF they are the same size, I would hazard a rough guess they are about 6V 2Watt panels, given the size posted and output averages for these size panels. So with these two panels and IF they are the same, they could already have blocking diodes built in which makes life easier.
So given that the battery is 6V 4.6A then with the two panels working in parallel, it would take a good 7 hours of direct sunlight to completely recharge the battery from a 100% dead battery.