It can't get overcharged. From my observations, if the PSP is charged at maximum level, the very 100%, it stops charging itself, even if the cable is still plugged in. The LED indicating charging stops flashing orange then.
Yes you can charge a psp. Every packaged psp sold comes with a charger and battery.
If you have residual charge on the battery to power it on and updated to the latest version of firmware for your PSP, certain PSP models are able to charge over a USB connection - but it may stop charging if you try playing a game on it while doing so.
Yes, the chargers for each model are the same. It can charge a PSP 2000 or a 3000, etc.
Some firmwares allow the PSP to charge from a USB connection to a PC.
Connect it via a USB port - the time taken to charge it - is dependent on the quality of the battery in the PSP.
A PS3 will charge any device that can charge from a USB port. This includes, but is not limited to: PSP, Ipod, and many cell phones.
You plug the PSP into the computer using a USB cable.
by a charger
no
It will also charge the unit for you.
no but you can still charge a PSP Slim
Charge it...