Do they have the same capacity and/or run time for certain identical tasks?
I know iPhone 5's battery has a charge capacity of 1440mAh. Has this been improved in the new iPhone 5s and/or iPhone 5c?
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There are slight improvements to the battery capacities of the 5S and 5C over the 5.
In terms of battery life comparison for 5 vs. 5c vs. 5s, they ran some benchmarks in their review. In some tasks the 5c/5s are better than the 5, in others the 5 is better. With the exception of their Wifi browsing test, the new phones are comparable to the 5, with there being less than an hour difference in battery life. In the Wifi browsing test though, the new phones ran out of juice .57 hours sooner (5c) and 1.3 hours sooner (5s).
During the keynote, Phil Schiller stated that the battery on the iPhone 5C was slightly larger than the battery on the current iPhone 5, and the Apple iPhone compare page states the same battery life for the 5C and the 5S, so I suspect they may have the same battery.