hardware – Macbook mid-2010: no power supply after ssd upgrade

I've replaced my hard drive with an SSD drive with the help of the ifixit guide on my MacBook Unibody, model A1342 (mid-2010).

But after reconnecting the battery, the Mac seems to be dead (Magsafe light off, no chime, no fan, nothing). I've tried another charger that works perfectly with another Mac without success.

Any chance that it is "only" a problem of battery? Or the logic board is dead? Or any other solution?