I was driving home Sunday when I realized my battery light was on. A little later my car was a little difficult to start but started. Next morning, it was completely dead. I thought my battery had finally died because it was from 2006. So I put it on the trickle charger and drove it to work the next day. I meant to pick up a battery after work but got stuck in the office. When I got home I decided to check it out with my multimeter. It seems may battery is holding a charge fine, but with the motor running it is not charging. Ie. Charge at battery was 12.7 volts with the car on or off. I cleaned the terminals and looked at the fuses on top of the battery but didn't see anything suspicious. After searching it seems like it could be my alternator, my alternator pulley or my regulator. How can I track down what it is?