Notebook powers off after 5 min with a new battery Help!

Im running an HP Pavilion ze4500 with a brand new battery and the notebook shuts down after windows pops up with all of my icons just when i getting ready to start a program. Whether it be IE, Itunes, Word...it just shuts off completely!!! It holds charge with the AC adapter without a problem and the green charge light is on. Can someone please advise. Is it the internal temperature threshold? How do you increase that if it is the problem. Thanks in advance. JAM

 

when you unplug it and power it on does the battery charge say 100%?

 

no there is no light on and it doesnt indicate that there is a charge.

 

go to your control panel and then power options or management and there should be a tab containing the current charge of the battery, make sure that it says its 100%