Had Power Adapter replaced, battery icon not showing charge

Question

Hello, hoping you guys can help me out. Recently, my power adapter had burned out (wouldn't show charge/light up at all). I've had it replaced as of today and is working fine (Whoo!), but now a new problem's come up.
I admit I used my battery to it's limit while waiting for the new adapter, and while the light on the adapter is green, the battery icon on my screen is showing 0%. Pressing the button on the battery only gives me one green light.
I've heard something about Re-Calibrating the battery in my manual, but I'm unsure if that's the best course for my case. Here's my Power System Profile, if it helps:
AC Power:
System Sleep Timer (Minutes): 10
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 5
Dynamic Power Step: Yes
Reduce Processor Speed: No
Automatic Restart On Power Loss: No
Wake On AC Change: No
Wake On Clamshell Open: Yes
Wake On LAN: Yes
Wake On Modem Ring: Yes
Display Sleep Uses Dim: Yes
Battery Power:
System Sleep Timer (Minutes): 0
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes): 1
Dynamic Power Step: No
Reduce Processor Speed: Yes
Automatic Restart On Power Loss: No
Wake On AC Change: No
Wake On Clamshell Open: Yes
Wake On Modem Ring: No
Display Sleep Uses Dim: Yes
Reduce Brightness: Yes
Battery Information:
Battery Installed: Yes
First low level warning: No
Full Charge Capacity (mAh): 3775
Remaining Capacity (mAh): 0
Amperage (mA): 0
Voltage (mV): 9821
Cycle Count: 56
AC Charger Information:
AC Charger (Watts): 65
Connected: Yes
Charging: No
Hardware Configuration:
Clamshell Closed: No
UPS Installed: No

Answer 1

Re-calibrating the battery is typically done with a new battery, where you charge it all the way up, then run it all the way down a couple of times. This calibrates the battery's internal electronics to the actual capacity of the battery. Not a concern here.
Looking at your battery stats, is your battery fairly new? It is showing 56 charge/discharge cycles, does that sound about right? Reason for asking is, if the battery is old, like maybe the original battery that came with the system, sometimes a dying lithium battery throws up screwy stats. If it is an older battery, that may be why it's not charging ... it's dead. However, if it is a newer battery ....
There's only 4 components to the charging circuit - power adapter, dc-in card, battery, and logic board. You have a new power adapter, and the system is seeing the 65 watt power adapter, so the power adapter and dc-in card appear to be OK. That leaves either a battery issue or a logic board issue. Do you have another battery you can swap in, or a friend with the same model PowerBook, or an Apple store nearby? If you swap another battery in, and it starts charging, and the current batter is an older one, then replace the battery. I used this one on mine, and others have had good things to say about it: http://eshop.macsales.com/shop/powerbook/battery/g4-15inch-aluminum/ . I would stay away from batteries sold on ebay, as there have been a number of people very disappointed with the lack of quality in the battery they bought.
If another battery won't charge, that would point to a logic board issue. We just had that on one of our PowerBooks, where it would charge, and it wasn't a power adapter, dc-in, or battery problem. The Apple store sent it off to the Apple Depot, for around $350, and they replaced the logic board as well as the battery. If they do more work, like replacing a dented case, the price goes up. If the Apple store replaces the logic board in the store, it costs around $750 or more.