I activated my new iPhone yesterday afternoon after fully charging it overnight. Played around with it for about 45 min, then set it down for about 5 hours. Picked it up again and had 10% battery warning. I let the battery go to zero, recharged overnight, took it off the charger this morning and within two hours I was at about 50% battery life remaining. All I did was check email two times. Didn't even make any calls. Phone was still on default settings -- autolock after 1 min, wi-fi turned off, etc. All the things that should extend battery life. Is the battery defective or is there something I'm missing? Thanks.