The most likely outcome will be the irreperable destruction of both PSP and microwave.
Yes you can charge a psp. Every packaged psp sold comes with a charger and battery.
You can not charge a battery in the microwave.
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.
No. Your phone should never be in the microwave.
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.
by a charger
no
You plug the PSP into the computer using a USB cable.
It will also charge the unit for you.
No!