The battery charge meter can definitely be very "flaky". It generally takes few complete full charge / full discharge cycles for it to correctly calibrate itself.
What I find on my own 600 is that very often USB charging will stop (the charge light goes off), but if I then plug in my PSP charger, it will carry on charging for a good while longer. Many people here have found USB charging to be just plain unreliable.
Don't bother with the "official" Sony charger - any PSP charger works fine with the Reader.
|