Yep, looks like a surface mount inductor. If it was in a Farraday cage it might have something to do with converting voltages up or down.
If you can find the pads where it belongs you might be able to put a touch of epoxy on it to hold it down, then use the finest soldering iron you can get to solder it back into place. With things this small it's not the components you need to worry about - it's the circuit board. Too much heat on them and the pads fry.
I have the schtuff to do SMT. I find that one only needs the smallest iron that radio snack has, some whisker solder, and a rosin pen. Magnification is nice, non metallic tweezers are also nice. the technique I like is to melt a measured amount/length of whisker solder onto the iron and then touch the iron to the joint and let it 'sweat' in. I can perform this operation if you wish.
(no subject)
If you can find the pads where it belongs you might be able to put a touch of epoxy on it to hold it down, then use the finest soldering iron you can get to solder it back into place. With things this small it's not the components you need to worry about - it's the circuit board. Too much heat on them and the pads fry.
Good luck.
-m
(no subject)
(no subject)
(no subject)