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how to reset battery meter after new battery installed

Battery cycle and degradation data seems to go with the battery itself. On the battery management board there is a controller chip keeping count of these things. Only some models have known reprogramming methods, I’m not sure MacBook Air battery is among one of them. Battery capacity measurement may be corrected by using it for a few cycles.

The best you can do is first reset the SMC following this Apple T/N How to reset the System Management Controller (SMC) on your Mac I would also recommend you install this gem of an app: CoconutBattery it will allow you to monitor your batteries health. Paste a snapshot of the main window here for us to see Adding images to an existing question