The micro-USB port of my Xperia Arc with ICS it's broken. How can I enter to ADB by wireless, without connecting the cable? I am not root, and I need to enter to ADB to root my phone. I can connect to my phone from my PC by SSH. Or there's a another way to root it?
There are apps out there to help you do this:
as far as I know, this is the only way to use ADB without using a USB cable. All of these apps however, require root.
If I were in your situation, I would try to get the warranty on the device. It would be a lot of screwing around to get and working without a USB cable. If you try rooting your device and you mess it up, you risk bricking the device all together, which then voids your warranty. I would at least try to get the warranty, the worst that could happen is they say no.
Hope this helped!