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When you increase the gpu power based on older tech in order to push all those pixels your going to have more heat and power draw. Apple's approach was lazy. They used more gpu's to get the some performance, used a bigger battery which takes much longer to charge, the body is thicker and then you have the heat. Heat generation is never good for electronics. Apple traded 1 positive for 3 negatives.
Correct way to attack the problem is to use a redesigned energy efficient cpu and a new gpu that can handle that resolution while keeping the same battery.

They are probably saving that for the next ipad!
 
The iPad gets warm.

Simple and repeatable test anyone can do.

Set the brightness to 100%
Plug in the included charger
Launch a game that actually pushes the gpu hard like Infinity Blade 2
Play for about 15 minutes

The iPad will be toasty, if you keep playing it will reach a very warm temp then level off and stay hot. On the charger you will lose about 1% per hour while you use the iPad in this way.

I have two 3rd generation iPads they both heat up the same amount. It is normal.
 
Where are we on this? I find comfort in knowing the best minds are on this. An entire forums happiness rests on the next ipad/iphone having this redesigned energy efficient CPU.
 
mine got slightly warm when backing up but nothing to write to mama about,
also have the wifi only so it's not any bigger than the 2 only slightly heavier (kinda like going from a 12oz beer to a 16oz one)
 
There is some heat depending on what you are doing with the iPad (also if you are on LTE vs wifi), but I have a MBP that overheats ridiculously in my opinion, and there is no comparison with the heat.
 
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