I have the new I phone 4s and the screen just went black. My husband is in ICU and I left the phone off the charger last night incase his nurse needed to call me. This morning it had a bit of battery left but before I could charge the nurse called but the volume was low. After I hung up I went to charge it and the screen was black. It is on the charge now but won't turn back on. All my other Verizon phones would turn on on the charger. I have no other phone and like I said my husband is in ICU 45 mins away. I have only had the phone 2 weeks and I have never dropped it.
You will need to let it charge for awhile before you will be able to power it back on. If the battery drained all of the way to the point that it shut off then it will take a while for it to get enough power to turn back on....even on the charger.