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1. positive current flowing into a positive terminal of lets say a rechargeable battery is power being absorbed by the battery...so positive watts

2. negative current flowing into a positive terminal encounters the higher electrical potential at the positive terminal and the battery has to do work to carry it through to the negative terminal, so the battery is discharging...so negative watts

3. positive current flowing into negative terminal... charges the battery?

4. negative current flowing into the negative terminal... discharges some watts?

so i'm a bit unsure with the last two and want to know what, if anything, is wrong with my observations.