How to recover iphone data with bad battery?

My iphone got wet so now all I want to do is get the contacts and pictures from it onto my computer. There are a couple issues thought, the phone only turns on when it is plugged into a wall outlet, won't hold a charge, and it isn't getting signal so I can't do a Wi-Fi sync. When I plug it into a computer it turns on the off for a few minutes and isn't connecting at all.

You'll have to take it to Apple and see what they can do to recover your data. It's always good to do backups, too, although it's a bit late to do that now.

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