I think so to. All the IPad chargers run warm. I believe the IPad 3 is about 8,400Mah?
Which is just based on watt hours divided by voltage=Amp Hours.
Plus I believe it's called Peukarts law?? The higher the load being drawn from a rechargable battery is, that inversely affects that batteries actual total stored capacity. Most capacity national approved testing procedures are done at 25
degrees Celsius, and the load attached to the fully charged battery whatever it's voltage, has to be at 1/20th
of filled capacity per hour. So the rating systems are heavily slanted to the manufacturers advantage. (Nothing new there)
1/20th of capacity I believe is whatever power drain level it will take to empty the battery that is hooked up to the load in 20 hours. So power drawn is no more then 5% of capacity per hour. If you increase the load level to 1/10 of capacity per hour, that will shorten the total capacity number or power storage of that battery.
At 1/5C or a load level that is 20% of batteries claimed capacity, it's real world capacity numbers drop off by 20-25% I believe. So a battery rated at 10,000 Mah that was tested at a drain level of 5% per hour or 1/2 amp hour per hour, or 2.5 watts at 5 volts per hour or a measly 500 Mah per hour, which is in compliance with the National Testimg Standard, at a 1/5 load level, the power it takes to drain the battery in 5 hours, in this case 10 watts at five volts per hour, if that was the Standard used, would have to be rated at 7500-8000 Mah. Or about 7.5-8 AH down from 10 AH.
I do know from memory if you take a 10,000 Mah 5 volt battery, which is 10 amp hours at 5 volts, or 50 watt hours, and apply a 1/2C per hour load level, which would be half total capacity of the battery, just the higher power drain itself, lets say that would be 5AH or 25 watt hours per hour, instead of two hours before the battery is drained out, it goes completely dead in just one hour. So at .5C per hour, which in this ex would be 5,000Mah or 25 watt hours per hour, that would use up and be the whole stored power the battery could deliver. A 50% power load reduces a batteries stored power Potential by 50%. It's rated capacity would be 5,000 Ah or 25 watt- hours instead of the "standardized" rating of 50 watt-hours.
This is, I am starting to believe, possibly why everyone is reporting shorter real world running times attainable compared to Apples published specifications that you can find on its own website listed under IPad 3 watt-hours usage of 42 watt hours as Tom reported.
I figure the engineers had to ignore this principle and were possibly asked to undersize the battery for weight and appearance and aesthetics involved. And am guessing they were well aware of Peukarts Law, which I hope I am remembering correctly! The IPad 3 has a much faster load drain then the IPad 2 so instead of the 42 watt hour capacity they gave it, they probably needed at least 52 watt hours or about 10AH instead of their stated 8.4AH.
Thanks.