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1.8GHz dual-core Intel Core i5 or dual-core 2.0GHz i7. (Turbo Boost up to 2.8GHz) with 3MB shared L3 cache

battery installed but computer turns off when charger plug disconnecte

new battery not being recognized correctly. what to do??

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Download this gem of an app: CoconutBattery paste a screenshot of the main window here for us to see Adding images to an existing question. You may want to review this Apple TN as well: Apple Portables: Troubleshooting MagSafe adapters to make sure the middle pin in the connector is working correctly.

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You can try to reset the PRAM by following instructions here https://support.apple.com/en-us/HT204063

If that doesn’t work, it’s probably something on the motherboard.

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