What Gomer said is on the right track but not 100% true.
Quote:
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Say for every hour your phone uses 10 mA of current. Your old batteries would conk out after 60 hours (600 mAh/10mA). Your new batteries will last for 150 hours.
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The amp (A) is a measurement of charge over time (C/s). There is no such thing as 10 mA per hour, that would be a rate of a rate. The rate of change for current is 0 (until the batteries die).
He's right about it being the amount of energy the batteries have. 750mAh x 3600s/h (seconds per hour) = 2700As (amp second)
E = Pt
E = VIt
E = (1.2)(2700)
E = 3.24KJ
It won't damage it though.
Power consumed by the circuit is determined by volts and amps. The volts is constant and the amps is determined by the resistance of the circuit. The resistance in the circuit doesn't change either which means the power usage will be the same.